Knewton Alta -Chapter 2- Descriptive Statistics Part 1

A data set is summarized in the frequency table below. Using the table, determine the total number of values in the data set that are less than or equal to 7. V - F 3 - 8 4 - 4 5 - 3 6 - 2 7 - 2 8 - 7 9 - 3 10 - 6 11 - 3 12 - 7

19 Summing the frequencies for these values, we find 8+4+3+2+2=19

What is the ratio of days of transactions between 200,000 and 249,999 conducted in May 2017 as compared to April 2017?

1:8 In May 2017, one day had a transaction between 200,000 and 249,999. In April 2017, eight days had transactions between 200,000 and 249,999.

A data set is summarized in the frequency table below. Using the table, determine the number of values greater than or equal to 8. Give your answer as a single number. For example if you found the number of values was 33, you would enter 33.

4+6+8+4+5=27

Deborah conducted a survey in which she collected data on the percentage of workers with college degrees and the percentage of workers without college degrees. Which of the following could sufficiently display the data if only the two given categories are to be included?

Each person surveyed must fit in exactly one of given data categories. This implies that the percentages must account for 100% of the individuals in the sample. Therefore, either a bar graph or a pie chart will sufficiently display the data

What is the cumulative relative frequency of students that went to 5 or fewer movies?

0.05+0.23+0.27= 0.55 0.55

Frequency

A frequency is the number of times a value of the data occurs.

The relative frequencies for a set of data are shown in the table below. V - RF 1 - 0.15 2 - 0.10 3 - 0.45 4 - 0.30 If there are a total of 20 data values, with what frequency does the data value 3 occur?

Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency. The data value 3 occurs with relative frequency 0.45 in a data set of 20 values, so the frequency of the data value 3 is 0.45(20)=9 . The data value 3 occurs 9 times.

A gym is conducting research on their customer's preferred work-out routine during the week. The following table shows the preferred work-outs for the selected gym customers Activity Frequency Running 22 Swimming 16 Walking 11 Weight Lifting 8 Aerobics 5 .Create the corresponding bar graph to represent this data below. Drag the dots on the top of the bar graph to create the chart.

Remember that the height of each bar in a bar graph equals the number of values that fall in that bar category. So for example, to find the first bar, which represents running, we note that the frequency for running is 22 in the table, so the height of that bar is 22. Therefore, 22 people chose running as their preferred exercise

A chess club meets every month and the members each tally how many times they won a game of chess during the past month. The following table shows the number of wins for each member of the club. Members - Frequency Joe - 0 Aaron - 6 Karen - 7 Michelle - 7 Barbara - 12 Create the corresponding bar graph to represent this data below. Drag the dots on the top of the bar graph to create the chart.

Remember that the height of each bar in a bar graph equals the number of values that fall in that bar category. So for example, to find the first bar, which represents the number of wins for Joe, we note that the frequency for wins by Joe is 0 in the table, so the height of that bar is 0. Therefore, Joe won 0 games of chess during the past month

The data listed below represents the amount of snow, recorded for five days, in inches. Day Snowfall Amount (in inches) 1 2 2 6 3 2 4 9 5 6

The x-axis represents the day and the y-axis represents the amount of snowfall. According to the data, there should be points at (1,2) (2,6) (3,2) (4,9) (5,6) where the x variable represents the day and the y variable represents the amount of snowfall (in inches) on a particular day. For instance, on day 2, there was 6 inches of snowfall.

A set of data is summarized by the stem and leaf plot below. Stem- Leaf 1- 012347788999 2- 13356777

There are 8 values in the data set which are greater than or equal to 20 and less than or equal to 29. There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.

A data set is summarized in the frequency table below. Using the table, determine the number of data values less than or equal to 5. Give your answer as a single number. For example if you found the number of values was 19, you would enter 19. V F 3 9 4 4 5 3 6 7 7 6 8 3 9 3 10 5 11 4

To find the number of data values less than or equal to 5, we add the frequencies for the values 3, 4, and 5. The relevant values are highlighted in the table below. Summing the frequencies for these values, we find 9+4+3=16

Porter is keeping track of the total number of books he has read over time. The line graph below shows the data. How many books did Porter read from month 2 to 5? Do not include the unit in your answer.

We can see that at month 2 the value is 4 and at month 5 the value is 11, so the difference is 7.

Given the frequency table below, what is the relative frequency of the data value 7? V-F 4-7 5-6 6-4 7-3

Add the frequencies to find total number of data values in the set of data. 7+6+4+3=20 Dividing each frequency by this total gives the relative frequency. The data value 7 occurs with frequency 3, so the relative frequency for the value 7 is 3/20=0.15

Given the frequency table below, what is the relative frequency of the data value 8? V - F 4 - 2 5 - 7 6 - 9 7 - 6 8 - 6

Add the frequencies to find total number of data values in the set of data. 2+7+9+6+6=30 Dividing each frequency by this total gives the relative frequency. The data value 8 occurs with frequency 6, so the relative frequency for the value 8 is 6/30=0.2

The following data set provides bitcoin transactions throughout 2016 and 2017. What is the relative frequency for transactions between 350,000 and 399,999 in May 2017? Give your answer as a decimal to the nearest hundreth.

0.27 To find the relative frequency of all data values, divide each frequency by the total number of data values in the sample-in this case, 26. An additional column is added to the right side of the frequency table for the data. This is called a relative frequency table.

A small accounting firm serving individuals and small businesses is preparing for tax season. One of the initiatives for this year is a Premium Program for clients with an income of $150,000 or more a year. To prepare an objective goal setting in the new program, the managers at the firm used the data for the first 10 weeks from last year's season. In the table, the data represents the amount of clients per week with an income of $150,000 or more. Given the cumulative relative frequency table below, what number is missing from the fourth row of the right column?

0.80 Cumulative relative frequency is the accumulation of the previous relative frequencies. To find any missing number in the cumulative relative frequency column of a table, add the relative frequencies in the corresponding row and all previous rows.

How To Constructing a Frequency Table From a Set of Data Given a set of data, construct a frequency table

1. Construct a table with 2 columns. (The left column should show the data values, and the right column should show the frequency of each value in the data set.) 2. Order the data values from least to greatest, and write them in the left hand column of the table. 3.Count how many times each value shows up in the data set, and put that number in the Frequency column next to the corresponding value.

A veterinarian is comparing the lengths in inches and weights in pounds of 20 cats that were brought in for their checkups. The data are given in the table below

1. Copy the cat names, lengths, and weights into an Excel spreadsheet. 2. Highlight all of the cells with data values, along with the titles in the first three columns. Click the Insert tab in Excel to bring up options for various types of graphs. 3. Under Insert, click on either Column, for a bar graph, or Line, for a line graph. In this case, start from a bar graph by pressing the column option and then the first option from the menu that pops up. 4. Click on one of the bars that represent the cat weights. These are the bars that will be changed to be represented by a line. 5. Notice that there is now a new set of options in Excel labeled Chart Tools. Click on the tab labeled Design and select the option Change Chart Type. 6. In the Change Chart Type menu, select the format that you would like this piece of data to take. Since the number is currently represented by a bar, select the first option under Line. 7. Press OK to complete the chart with the data displayed in two different ways.

Carrie is a salesperson who earns a commission on every unit she sells. The number of units Carrie sells per week for half of a year are given in the table below. Use Excel to create a line graph for the data. How many times does the number of units sold increase from a number below 12 to a number above 12?

1. Copy the weeks and the number of sales into an Excel spreadsheet. 2. Highlight all of the cells with data values, along with the titles in these two columns. Click the Insert tab in Excel to bring up options for various types of graphs. 3. Under Insert, click on Line to create a line graph, and select the first option. Observe the graph and find the number of spikes in the graph where the number of units sold increased from below 12 to above 12. Since this happens 5 times, there are 5 times where the number of units sold increased from below 12 to above 12.

Consider a country whose annual budget results in the following budget deficits (in millions of dollars) each year

1. Copy the years and deficits into an Excel spreadsheet. 2. Highlight all of the cells with data values, along with the titles in these two columns. Click the Insert tab in Excel to bring up options for various types of graphs. 3. Under Insert, click on Line to create a line graph. In this case, click on Line with Markers to be able to see the markers where each of the data values lie. Notice that nine of the markers are at or above 320. Therefore, nine of the years had a deficit of at least $320 million.

The following data set provides bitcoin transactions throughout 2016 and 2017. What is the cumulative relative frequency for transactions between 300,000 and 349,999 in May 2017? Give your answer as a percentage rounded to the nearest whole number, but do not include the percent sign.

73 Cumulative relative frequency is the accumulation of the previous relative frequencies. To find the cumulative relative frequencies, add all the previous relative frequencies to the relative frequency for the current row, as shown in the table. D 200K-249K - 1 - (0.04) - [4%] 250K-299K - 5 - (O.19) - [23%] 300K-349K - 13 - (0.50) - [73%] 350K- 399K - 7 - (0.27) - [100%] Total- 26

A researcher gathered data on hours of video games played by students. They each randomly sample different groups of 150 students from the same school. Given the cumulative frequency tables below, what is the percentage of students who play video games 6 hours or less per week?

95% of students play video games for 6 hours or less per week in this study. The first five rows of the table show information that corresponds with students who play video games for less than 6 hours. Since the Cumulative Relative Frequency column shows the accumulated relative frequencies of the students of previous rows, we can look at the cumulative relative frequency in the fifth row. This is 0.95, which is the sum of all of the relative frequencies of students who play video games for 6 hours or less per week. The decimal 0.95 is the same as 95%

frequency Table

A frequency table is constructed by arranging the data in order from least to greatest with their corresponding frequencies. A frequency table is one of the tools businesses can use to organize the number of times an observations in a study occur

Which of the following sets of data should not be displayed with a pie chart? Assume that only the two given categories will be included.

A pie chart is not appropriate if the given data has percentages that sum to greater than 100%, resulting from overlap in categories, or less than 100%, resulting from omitting other categories. If an individual could be in each of the categories or neither of the categories, a pie chart will not be sufficient.

Given the data above, after tallying up the wins during the chess club meeting, which member of the club was most likely the winner?

According to the data, Barbara won 12 games of chess during the past month. Since she has the highest bar in the bar graph, Barbara was most likely the winner when the scores were tallied during the chess club meeting.

If the gym was going to expand only one part of their gym to provide more space, which area should they most likely expand?

According to the data, if the gym could only expand one room, the gym should expand the track. 22 people chose running as their preferred work-out, which has the highest bar in the bar graph.

Jane is a hiring manager who is looking at the various resumes that were submitted for a job opening at her company. The applicants specified their years of education as well as their years of experience. Use a line graph to represent the years of education and a bar graph to represent the years of experience. Which applicant has the most years of experience, given that he or she has at least 16 years of education?

Applicant 6 1. Copy the applicant names, years of education, and years of experience into an Excel spreadsheet. 2. Highlight all of the cells with data values, along with the titles in the first three columns. Click the Insert tab in Excel to bring up options for various types of graphs. 3. Under Insert, click on either Column, for a bar graph, or Line, for a line graph. For this problem, we will start from a bar graph, so press the Column option and then the first option from the menu that pops up. 4. Click on one of the bars that represent the years of education. These are the bars that will be changed to be represented by a line. 5. Notice that there is now a new set of options in Excel labeled Chart Tools. Click on the tab labeled Design and select the option Change Chart Type. 6. In the Change Chart Type menu, select the format that you would like this piece of data to take. Since the number is currently represented by a bar, select the first option under Line. 7. Press OK to complete the chart with the data displayed in two different ways. Look at all the bars where the number of years of education line is at least 16. Notice that the largest bar belongs to Applicant 6, who has 18 years of education and 3 years of experience. Therefore, the applicant with the most experience and at least 16 years of education is Applicant 6.

Students at Bruce's school are allowed to play more than one sport. So, Brent polled a large sample of students to find how many students were on each sports team at the high school - basketball, volleyball, baseball, and hockey. Which of the following could sufficiently display the data if only the four given categories are to be included?

As long as there is no overlap of data values (i.e. a data value does not fall into two different categories), you may use either a bar graph or a pie chart. But, in this case, students can play more than one sport, and so one data value (or student) could fall in two or more categories. So, it is better to use a bar graph. A pie chart with overlapping data values can be misleading

Gail is a car salesperson, who keeps track of her sales over time. The line graph below shows the data for the number of cars she sells per week. At what week were her sales Oops, there was an error. Please reload the page.? Do not include the unit in your answer.

By looking horizontally from the y-axis value 8, we can see that the corresponding value of time is 5.

The relative frequencies for a set of data are shown in the table below V-RF 2-0.16 4-0.28 6-0.24 8-0.32 If there are a total of 25 data values, with what frequency does the data value 2 occur?

Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency. The data value 2 occurs with relative frequency 0.16 in a data set of 25 values, so the frequency of the data value 2 is 0.16(25)=4 . The data value 2 occurs 4 times.

Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included?

Each person surveyed must fit in exactly one of given data categories. This implies that the percentages must account for 100% of the individuals in the sample. Therefore, either a bar graph or a pie chart will sufficiently display the data

According to the information above, which of the following is an appropriate analysis of the snowfall amounts?

From the data, there was fluctuating snowfall during the five days. The y-values represent the snowfall amounts each day. As you move from left to right along the x-axis, the y-values fluctuate up and down. For example, at day 1, there was 2 inches of snowfall. At day 2, there was 6 inches of snowfall, but by day 3, the snowfall amount dropped to 2 inches.

The following data set provides bitcoin transactions throughout 2016 and 2017. What is the ratio of days of transactions between 300,000 and 349,999 conducted in May 2017 as compared to April 2017?

In May 2017, 13 days had transactions between 300,000 and 349,000. In April 2017, 9 days had transactions between 300,000 and 349,000.

Given the following histogram for a set of data, how many values in the data set are greater than 10.5 but less than 12.5?

Remember that the height of each bar in a histogram equals the number of values that are in the range for that bar. So to find the number of values which are greater than 10.5 but less than 12.5, we look at the heights of the bars between those values and add them. 2+3=5

The students in a first-grade class were all asked to time how long (in seconds) they could hold their breath. The results were tallied and are presented in the following histogram. How many of those students held their breath greater than 12.5 but less than 15.5 seconds?

Remember that the height of each bar in a histogram equals the number of values that are in the range for that bar. So to find the number of values which are greater than 12.5 but less than 15.5, we look at the heights of the bars between those values and add them. 2+5+6=13

Several people were asked to report the number of hours of sleep they average per night. The results are shown in the histogram below. How many of those people average greater than 4.5 but less than 6.5 hours of sleep per night?

Remember that the height of each bar in a histogram equals the number of values that are in the range for that bar. So to find the number of values which are greater than 4.5 but less than 6.5, we look at the heights of the bars between those values and add them. 7+4=11

The speed (in mph) of randomly selected bicyclists were measured as they were approaching a hill. The results are presented in the following histogram. How many of those bicyclists were traveling greater than 8.5 but less than 11.5 mph as they were approaching the hill?

Remember that the height of each bar in a histogram equals the number of values that are in the range for that bar. So to find the number of values which are greater than 8.5 but less than 11.5 , we look at the heights of the bars between those values and add them. 4+5+13=22

The ages of the students in a creative writing seminar are listed below. 17,22,20,18,19,20,17,17,22,18,20,18,17,18,21,18,18,19,19,19,20,19,21,21 Complete the frequency table.

The age 17 appears 4 times. The age 18 appears 6 times. The age 19 appears 5 times. The age 20 appears 4 times. The age 21 appears 3 times. The age 22 appears 2 times.

The following data set provides bitcoin transactions throughout 2016 and 2017 Caluculate the average number of transactions conducted during April 2017 and May 2017. Which of the following statements are true? Select all that apply.

The average number of transactions in April 2017 was between 250,000 and 299,999. The average number of transactions in May 2017 was between 300,000 and 349,999. The difference in the number of average transactions conducted during April and May was about 46,000. The May average was 324227.1154. The April average was 278557.7667. The difference between the two is 45,669.35 or about 46,000.

The cumulative relative frequency table for a set of data is shown below. What is the missing cumulative relative frequency? DV - (RV) - [CRF] 5 - (0.18) - [0.18] 10 - (0.24) - [ ? ] 15 - (0.32) - [ 0.74] 20 - (0.26) - [1.00]

The cumulative relative frequency is the accumulation of the previous relative frequencies. To find any missing number in the cumulative relative frequency column of a table, add the relative frequencies in the previous column for the corresponding row and all previous rows. DV - (RV) - [CRF] 5 - (0.18) - [0.18] 10 - (0.24) - [0.42] 15 - (0.32) - [ 0.74] 20 - (0.26) - [1.00] The missing Cumulative Relative Frequency is the sum of the first two Relative Frequencies: 0.18+0.24=0.42

A group of students were surveyed about the number of books they read last summer. Their responses are summarized in the relative frequency table below. What is the cumulative relative frequency of students that read 5 or fewer books? Number of books (Relative Frequency) 0-1 (0.08) 2-3 (0.36) 4-5 (0.32) 6-7 (0.12) 8-9 (0.04) 10 or more (0.08)

The cumulative relative frequency is the accumulation of the previous relative frequencies. To find any missing number in the cumulative relative frequency column of a table, add the relative frequencies in the previous column for the corresponding row and all previous rows. Number of books (Relative Frequency) [Cumulative Relative Frequency] 0-1 (0.08) [0.08] 2-3 (0.36) [0.44] 4-5 (0.32) [0.76] 6-7 (0.12) [0.88] 8-9 (0.04) [0.92] 10 or more (0.08) [1.00] The Cumulative Relative Frequency of students that read 5 or fewer books is the sum of the first three Relative Frequencies: 0.08+0.36+0.32=0.76

The values and relative frequencies for a set of data are shown below. Complete the cumulative relative frequency table. DV - (RV) - [CRF] 1 - (0.19) - [ ? ] 2 - (0.35) - [0.54] 3 - (0.29) - [ ? ] 4 - (0.17) - [1.00]

The cumulative relative frequency is the accumulation of the previous relative frequencies. To find the values in the cumulative relative frequency column of a table, add the relative frequencies in the previous column for the corresponding row and all previous rows. DV - (RV) - [CRF] 1 - (0.19) - [ 0.19 ] 2 - (0.35) - [0.54] 3 - (0.29) - [ 0.83] 4 - (0.17) - [1.00] The cumulative relative frequencies are: 0.190.19+0.35=0.540.19+0.35+0.29=0.830.19+0.35+0.29+0.17=1.00.

Question Fifteen people were asked how many miles (to the nearest mile) they commute to work each day. The data are as follows: 2,5,7,3,2,10,18,5,10,10,5,7,13,12,2,5. Construct a frequency table for this data.

The data is ordered from least to greatest: 2,2,2,3,5,5,5,5,7,7,10,10,10,12,13,18 These data points are inserted into the left column of the frequency table. The amount of times each data value shows up in the set is the frequency, and is labeled in the right column of the frequency table. Three people drive 2 miles to work. One person drives 3 miles to work. Four people drive 5 miles to work. Two people drive 7 miles to work. Three people drive 10 miles to work. One person drives 12 miles to work. One person drives 13 miles to work. One person drives 18 miles to work. The sum of the numbers in the right-hand Frequency column represents the total number of data points. Here the sum of the right column is 16, so there are 16 data points represented in this frequency table.

A company has released a new product, which is being sold through a major online retailer. The company making the product is tracking its reviews carefully, and a sample of the review scores from 23 of the customers is included below. Create the dot plot of the dataset using Excel, and then interpret the plot.

The dot plot shows a left-skewed distribution with a mode of 5 and a median of 5, indicating that most though not all reviews give the product a score of 5 out of 5. To construct a dot plot with Excel follow these steps: 1. Open Excel and put the data in column A starting at A1. 2. In cell B2 write "=COUNTIF($A$2:$A2,A2)". 3. Copy and paste B2 to each cell below B2 that is adjacent to the data in column A. This counts the occurrence of each value in the dataset. 4. Create a scatter plot with the count on the vertical axis and the values on the horizontal axis. To find the median, count an equal number of dots from the left side and from the right side to identify the dot in the middle. If there are two middle dots, then average their value. The mode(s) is/are the location(s) on the horizontal axis of the tallest column of dots. For the given data set, the middle dot is above 5. Therefore, the median is 5. The tallest column of dots is above 5, where there are 13 dots. Therefore, the mode is 5. Here, the left tail of the distribution is longer than the right tail, so the distribution is left-skewed, indicating that most though not all reviews give the product a score of 5 out of 5.

A study was sponsored by an organization dedicated to the health and well-being of domesticated canines and felines. For the study, a large pet store chain distributed surveys to a random sampling of customers. One of the questions asked people how many cats and dogs they had. The results of a sample of 32 answers are included below. Create the dot plot of the dataset using Excel, and then interpret the plot. Choose the correct answer below

The dot plot shows an approximately symmetric distribution with a median of 2 and a mode of 2, indicating that most customers of the pet store cluster around having 2 cats or dogs. To construct a dot plot with Excel follow these steps: 1. Open Excel and put the data in column A starting at A1. 2. In cell B2 write "=COUNTIF($A$2:$A2,A2)". 3. Copy and paste B2 to each cell below B2 that is adjacent to the data in column A. This counts the occurrence of each value in the dataset. 4. Create a scatter plot with the count on the vertical axis and the values on the horizontal axis. To find the median, count an equal number of dots from the left side and from the right side to identify the dot in the middle. If there are two middle dots, then average their value. The mode(s) is/are the location(s) on the horizontal axis of the tallest column of dots. For the given dataset, the middle dot is above 2. Therefore, the median is 2. The tallest column of dots is above 2, where there are 14 dots. Therefore, the mode is 2. The right tail of the distribution is the same length as the left tail, so the distribution is approximately symmetric. This indicates that most customers of the pet store cluster around having 2 cats or dogs

The sales department from Real Madrid wants to find the relationship between memorabilia sales and number of goals during games. The first part of the research is to determine the frequency of goals per game. The frequency table below shows the number of goals Real Madrid scored in each of their soccer games in April and May of 2015. Determine the total number of data values (games) represented in the table.

The sum of the numbers in the Frequency column represent the total number of data values in the set. 1+3+2+4+2+1+1=14 So, there are 14 total data values in this set.

Frequency of a class

The frequency of a class is the product of the total number of data values and the relative frequency of the class.

A data set is summarized in the frequency table below. The data set contains a total of 40 data values. What is the missing frequency? V - F 1 - 4 2 - 6 3 - 7 4 - 3 5 - ___ 6 - 5 7 - 4 8 - 5

The total number of data values is the sum of all the frequencies. We are told the data set contains a total of 40 data values. The seven given values add to 4+6+7+3+5+4+5=34, so the missing frequency is 40−34=6.

A set of data is summarized by the stem and leaf plot below. STEM - LEAF 1-00012333457999 2-0001124455667777779999 3-033356777889 4-0114445677778899 5-01224446788 The value 33 appears ___ time(s) in the data set. The value 27 appears ___ time(s) in the data set. The value 36 appears ____ time(s) in the data set.

The value 33 appears 1 time(s) in the data set. The value 27 appears 2 time(s) in the data set. The value 36 appears 3 time(s) in the data set.

Vance is a road and driving safety expert who is working with a data collection firm to analyze how much people drive to and from work. Vance randomly selected 26 employees who work at an office that agreed to let Vance poll their employees. The data are included below. Create the dot plot of the dataset using Excel. Find the median and the mode using the dot plot.

To construct a dot plot with Excel follow these steps: 1. Open Excel and put the data in column A starting at A1. 2. In cell B2 enter "=COUNTIF($A$2:$A2,A2)". 3. Select cell B2 and pull down the bottom right square until the column is aligned with the column to the left. This gives you the occurrence of each value in the dataset. 4. Create a scatter plot with the count on the vertical axis and the values on the horizontal axis. To find the median, count an equal number of dots from the left side and from the right side to identify the dot in the middle. If there are two middle dots, then average their value. The mode(s) is/are the location(s) on the horizontal axis of the tallest column of dots. For the given dataset, there are two middle dots, both above 0.50. Therefore, the median is 0.50. The tallest column of dots is above 0.25, where there are 10 dots. Therefore, the mode is 0.25.

A principal is trying to determine how many students attend detention each school night. She records the number of students attending detention after school for 22 school days. The data are provided below. Create the dot plot of the dataset using Excel, and then interpret the plot.

To construct a dot plot with Excel follow these steps: 1. Open Excel and put the data in column A starting at A1. 2. In cell B2 write "=COUNTIF($A$2:$A2,A2)". 3. Copy and paste B2 to each cell below B2 that is adjacent to the data in column A. This counts the occurrence of each value in the dataset. 4. Create a scatter plot with the count on the vertical axis and the values on the horizontal axis. To find the median, count an equal number of dots from the left side and from the right side to identify the dot in the middle. If there are two middle dots, then average their value. The mode(s) is/are the location(s) on the horizontal axis of the tallest column of dots. For the given dataset, there are two middle dots. One is above 2 and the other is above 3. Therefore, the median is their average, 2.5. The tallest column of dots is above 1, where there are 5 dots. Therefore, the mode is 1. There does not appear to be any clustering around the median or mode, so the distribution cannot be said to be skewed. The dot plot is relatively flat, suggesting that the distribution is uniform. Your answer: The dot plot shows a right-skewed distribution with a mode of 1 and a median of 2, indicating that while most days have few students in detention, some days have many students. The mode is 1, but the median is 2.5. Also, there is no clustering around the mode, so the distribution cannot be said to be skewed.

Given the relative frequency table below, which of the following is the corresponding cumulative relative frequency table? V-F 4-0.28 5-0.24 6-0.04 7-0.2 8-0.24

V-F-CRF 4-0.28- 0.28 5-0.24- 0.52 6-0.04- 0.56 7-0.2- 0.76 8-0.24- 1.00 Remember that a cumulative frequency table adds the relative frequencies for the previous entries in the table. For example, the entry for the value 6 is 0.28+0.24+0.04=0.56 This cumulative frequency table could be used by an internet provider to see the percentage of customers that rate the service from a least 4 - most 8. For example, at the 6, 56% of people voting have the service at a 6 or less. This could show the internet provider that upgrades may be needed.

Josslyn is a car salesperson who keeps track of her sales over time. The line graph below shows how many cars she sells per week. What was the change in cars sold from week 2 to 6? Do not include the unit in your answer.

We can see that at week 2 the value is 16 and at week 6 the value is 8. Therefore, the difference is 8−16=−8.

Relative frequency table

a frequency table with an additional column giving the relative frequencies of the dataInstead of a Relative frequency table, some sources may give this information in the form of a Relative frequency histogram

Deborah polled a large sample of individuals to find the percentage of people who jog more than three times a week and the percentage of people who lift weights more than three times per week. Which of the following could sufficiently display the data if only the two given categories are to be included?

bar graph The two given categories of data could potentially have overlap. In addition to this, it is likely that there are individuals that do not belong to either category. In this sense, the percentages will not account for 100% of the individuals sampled and a pie chart will not sufficiently display the data. A bar graph should be used.

Karen polled a large sample of individuals to find the percentage of people who own cell phones and the percentage of people who own tablets. Which of the following could sufficiently display the data if only the two given categories are to be included?

bar graph The two given categories of data could potentially have overlap. In addition to this, it is likely that there are individuals that do not belong to either category. In this sense, the percentages will not account for 100% of the individuals sampled and a pie chart will not sufficiently display the data. A bar graph should be used.

Stephanie polled a large sample of individuals to find the percentage of people who like horror films and the percentage of people who like romantic dramas. Which of the following could sufficiently display the data if only the two given categories are to be included?

bar graph The two given categories of data could potentially have overlap. In addition to this, it is likely that there are individuals that do not belong to either category. In this sense, the percentages will not account for 100% of the individuals sampled and a pie chart will not sufficiently display the data. A bar graph should be used.

relative frequency

is the ratio (fraction or proportion) of the number of times a certain data value occurs in the set of the total number of data values. To find the relative frequencies, divide each frequency by the total number of data values in the sample. Relative frequencies can be written as fractions, percents, or decimals.

Which of the following sets of data should not be displayed with a pie chart? Assume that only the two given categories will be included.

the percentage of people that own dogs and the percentage of people that own cats A pie chart is not appropriate if the given data has percentages that sum to greater than 100%, resulting from overlap in categories, or less than 100%, resulting from omitting other categories. If an individual could be in each of the categories or neither of the categories, a pie chart will not be sufficient.

Which of the following sets of data should not be displayed with a pie chart? Assume that only the two given categories will be included.

the percentage of people who have a full-time job and the percentage of people who have a part-time job A pie chart is not appropriate if the given data has percentages that sum to more than 100%, resulting from overlap in categories, or less than 100%, resulting from omitting other categories. If an individual could be in each of the categories or neither of the categories, a pie chart will not be sufficient. In the case above, it is possible that a single individual could have both a full-time job and a part-time job, which would make the percentages sum to more than 100%