MATH-11-SP18: Module 1 Quiz
The histogram below shows the distribution of a recent exam. What might be the standard deviation for these exam scores?
15 Since the bulk of the data is between 70 and 100, this range covers around two standard deviations: 30/2 = 15.
Twelve teachers attended a seminar on mathematical problem solving. Their attitudes were measured before and after the seminar. A positive number change attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows:3; 8; -1; 2; 0; 5; -3; 1; -1; 6; 5; -2 What is the average change score? Round your answer to two decimal places.
1.92
For the set of scores 0, 2, 6, 8, the mean is ______ .
4
Is mean or the median more resistant to outliers?
median
If you were required to survey Fresno City College students regarding their employment status, which sampling technique would you use? Explain.
Stratified sample, it is a method for selecting a random sample used to ensure that subgroups of the population are represented adequately; divide the population into groups (strata). Use simple random sampling to identify a proportionate number of individuals from each stratum.
The statistics below describe the data collected by a business person who researched the purchases of 65 customers. mu = 27.52, Median=24.96, Sigma=6.34, Q1=18.34, Q3=35.72, n=65 What is the IQR? Check all that apply.
The range that contains the middle half of the data The range between Q1 and Q3 18.34 to 35.72
For the set of scores 0, 0, 1, 1, 1, 2, 3, 5, 5, 5, 6, the mode is ______ .
1 and 5
Fifty randomly selected students were asked the number of speeding tickets they have had. The results are as follows: Tickets Frequency 0 8 1 15 2 21 3 3 4 2 5 0 6 1 Round your answers to two decimal places. The mean is: The median is: 3 The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents have had at most 2 speeding tickets? % 6% of all respondents have had at least how many speeding tickets?
1.6 2 1.16 1 2 88 4 The first five answers should come directly from the calculator. Please watch the video if you have troubles with this. The sixth question just involves adding up those 2 and below and dividing by the total. The last one involves multiplying the percent by the total then see what number corresponds to that ranking.
Find the population standard deviation of the scores 0,2,2,2,2,3,5,8.
2.291288
The following show the results of a survey asking women how many pairs of shoes they own : 2, 4, 4, 5, 7, 8, 8, 9,12,15,17, 28 Find the standard deviation. Round your answer to one decimal place.
7.3
The statistics below describe the data collected by a psychologist who surveyed single people asking how many times they went on date last year. mu = 14, median = 11, sigma = 6.2, Q1 = 7.5, Q3 = 18, n = 200 What is the IQR? Check all that apply.
7.5 to 18 The range that contains the middle half of the data The range between Q1 and Q3
Determine the level of measurement for the following variable: Nationality
Nominal
Determine the level of measurement for the following variable: Phone company
Nominal
Determine the level of measurement for the following variable: Survey responses to questions about the customer service rated as "excellent," "good," "satisfactory," or "unsatisfactory."
Ordinal
Determine the level of measurement for the following variable: Number of desks in a classroom
Ratio
Consider the boxplot below. Box Plot with five Point Summary: 3,8,10,20,38 What quarter has the smallest spread of data? What is that spread? What quarter has the largest spread of data? What is that spterm-34read? Find the Inter Quartile Range (IQR): Which interval has the most data in it? What value could represent the 53rd percentile?
Second 2 Fourth 18 12 3-10 11
For the set of scores 0, 2, 6, 8, the population variance is ______ .
10
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows: # of Movies Frequency 0 5 1 9 2 6 3 4 4 1 Round your answers to two decimal places. The mean is: The median is: The sample standard deviation is: 1.122 The first quartile is: The third quartile is: What percent of the respondents watched at least 3 movies the previous week? 45 % 56% of all respondents watched fewer than how many movies the previous week?
1.48 1 1.122 1 2 20 2 The first five answers should come directly from the calculator. Please watch the video if you have troubles with this. The sixth question just involves adding up those 3 and above and dividing by the total. The last one involves multiplying the percent by the total then see what number corresponds to that ranking.
Find the population variance of the scores 0,2,2,2,2,3,5,8.
5.25
A Person's Ethnicity
qualitative
Favorite Baseball Team
qualitative
The following are weights in pounds of a college sports team: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240 Find the first quartile.
171. The first quartile is the number such that 25% of the values are at or below that number.
The following are weights in pounds of a college sports team: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240 Find the standard deviation. Round your answer to the nearest pound.
24.0
The average temperatures and standard deviations for the towns of Springfield, Oakridge, and Riverton are shown in the table below. Also shown are high temperatures that these three towns had on July 4. July 4 Temp. Mean Temp. Standard Dev. Springfield 98 89 6 Oakridge 83 77 3 Riverton 94 94 8 Relative to the town's typical weather, which town had the most extreme temperature on July 4?
Riverton Springfield's July 4 temperature was 1.5 standard deviations above its mean, Oakridge's July 4 temperature was 2 standard deviations above its mean, and Riverton's July 4 temperature was at its mean.
The standard deviation measures the average distance of all values from the mean.
True
Time in Line to Buy Groceries
quantitative - continuous
The histogram below shows the distribution of the number of times students from a statistics class have been to London. Without calculating, what might be the standard deviation for this data?
1.5 Since the bulk of the data is between 0 and 3, this range covers around two standard deviations: 3/2 = 1.5.
The histogram below shows the number of times that students in a statistics class have been to London. Check each of the following that are true statements.
The mean is greater than the median. This histogram is skewed right. A relative frequency histogram would also have the same shape, just a different scale on the vertical axis.
Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # Flossing per Week Frequency Relative Frequency Cumulative Relative Frequency 0 27 0.4500 1 18 3 0.9333 6 3 0.0500 7 1 0.0167 How many adults flossed exactly 3 times per week?
11.0 Since there was a total of 60 adults in the study and 49 did not floss exactly 3 times per week, 60 - 49 = 11 flossed exactly 3 times per week.
Twelve teachers attended a seminar on mathematical problem solving. Their attitudes were measured before and after the seminar. A positive number change attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows:3; 8; -1; 2; 0; 5; -3; 1; -1; 6; 5; -2 What is the median change score?
1.5 First order the numbers. Since there are an even number of numbers, the median is the average of the middle two numbers. The median is 1.5.
The statistics below describe the data collected that represents the number of calories in a single serving of cereal for 15 types of cereals. mu=182, median=186, sigma=15, 1st quartile=172, 3rd quartile = 197, n=18 What is the IQR? Check all that apply.
172 to 197 The range that contains the middle half of the data The range between Q1 and Q3
For the set of scores 0, 0, 1, 1, 1, 2, 3, 5, 5, 5, 6, the median is ______ .
2
Give an example of a variable for each type of level of measurement: a) Nominal b) Ordinal c) Interval d) Ratio
a) Nominal - Nation of origin b) Ordinal - Highest degree conferred c) Interval - Movie rating d) Ratio - Volume of water used by a household in a day
The following show the results of a survey asking women how many pairs of shoes they own : 2, 4, 4, 5, 7, 8, 8, 9,12,15,17, 28 The mean is: (Round to two decimal places). The sample standard deviation is: (Round to two decimal places). The first quartile is: The median is: The third quartile is: Find the number of pairs of shoes that is 2 standard deviations above the mean. (Round to the nearest whole number). You just met a woman who has 6 pairs of shoes. How many standard deviations below the mean is this woman's show ownership? 1.67 (Round to two decimal places).
9.92 7.26 4.5 8 13.5 24 0.54 These questions are all meant to be done using the TI 84 or comparable calculator. Please watch the video that is linked from the question for instructions. Only the last two questions need a specific formula. The second to last just take the mean and add twice the standard deviation. The last asks for the z-score = (x - mean)/(standard deviation).
If two six sided dice are rolled, then the sum of the dice is an example of a continuous random variable.
False
The histogram below shows the distribution of a recent exam. Check each of the following that are true statements.
The median is greater than the mean. A relative frequency histogram would also have the same shape, just a different scale on the vertical axis. This histogram is skewed left.
Describe Sampling Error.
The natural variation that results from selecting a sample to represent a larger population; this variation decreases as the sample size increases, so selecting larger samples reduces sampling error.
Consider the boxplot below. Boxplot with five point summary: 6,10,19,21,26 What quarter has the smallest spread of data? What is that spread? What quarter has the largest spread of data? What is that spread? Find the Inter Quartile Range (IQR): Which interval has the most data in it? What value could represent the 53rd percentile?
Third 2 Second 9 11 19-22 20
Twelve teachers attended a seminar on mathematical problem solving. Their attitudes were measured before and after the seminar. A positive number change attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows:3; 8; -1; 2; 0; 5; -3; 1; -1; 6; 5; -2 Find the change score that would be 2.4 standard deviations below the mean. Round your answer to two decimal places.
-6.48 The standard deviation is about 3.50 and the mean is about 1.92. Calculate: 1.92 - 2.4 x 3.50 = -6.48
Fifty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: # of Courses Frequency Relative Frequency Cumulative Relative Frequency 1 30 0.6 2 15 3 Find the relative frequency for students taking 3 courses.
0.1
Fifty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: # of Courses Frequency Relative Frequency Cumulative Relative Frequency 1 30 0.6 2 15 3 Determine the Cumulative Relative Frequency for taking 2 classes.
0.9 Since there are a total of 50 Students and 45 of them are taking 2 or fewer classes. 45/50 = 0.9.
Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # Flossing per Week Frequency Relative Frequency Cumulative Relative Frequency 0 27 0.4500 1 18 3 0.9333 6 3 0.0500 7 1 0.0167 What is the cumulative relative frequency for flossing 6 times per week? Round to 4 decimal places.
0.9833 The cumulative relative frequency for 3 time per week is 0.9333. Add in the 0.0500 for 6 times per week gives a cumulative relative frequency of 0.9833.
Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # Flossing per Week Frequency Relative Frequency Cumulative Relative Frequency 0 27 0.4500 1 18 3 0.9333 6 3 0.0500 7 1 0.0167 What percent of adults flossed 7 times per week? Round to one decimal place.
1.67 Since the relative frequency for 7 times per week is 0.0167, we convert this to a percent by multiplying by 100% to get 1.7%
Twelve teachers attended a seminar on mathematical problem solving. Their attitudes were measured before and after the seminar. A positive number change attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows: 3, 8, -1, 2, 0, 5, -3, 1, -1, 6, 5, -2 The mean is: (Round to two decimal places). The sample standard deviation is: (Round to two decimal places). The first quartile is: The median is: The third quartile is: Find the change score that corresponds to 3 standard deviations above the mean. (Round to the nearest whole number). If a teacher experiences a change score of 4, how many standard deviations above the mean is this score? (Round to two decimal places).
1.92 3.5 -1 1.5 5 12 0.59 These questions are all meant to be done using the TI 84 or comparable calculator. Please watch the video that is linked from the question for instructions. Only the last two questions need a specific formula. The second to last just take the mean and add three times the standard deviation. The last asks for the z-score = (x - mean)/(standard deviation).
The statistics below describe the data collected by a psychologist who surveyed single people asking how many times they went on a date last year. mu = 14, median = 11, sigma = 6.2, Q1 = 7.5, Q3 = 18, n = 200 A sample of 20 single people is taken. What is the best prediction for the number of these single people that went on fewer than 11 dates last year ? 25% of all single people had more than how many dates? 7.5 25% of all single people had fewer than how many dates? What percent of all the single people had between 7.5 and 18 dates? percent. What is the population standard deviation? How many standard deviations below the mean is the first quartile? Round your answer to three decimal places.
10 18 7.5 50 6.2 1.048 Since 11 is the median, half of the sample is predicted to be less than this number. Asking about 25% more than a number is the same as 75% less, meaning the third quartile. Asking 25% less is the first quartile. Between the first and third quartile is the IQR or 50% of the data. The standard deviation is sigma. The last question asks for the z-score which is z = (x - mu)/sigma.
The following are weights in pounds of a college sports team: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240 The mean is: (Round to the nearest whole number). The sample standard deviation is: 38 (Round to the nearest whole number). The first quartile is: (Round to the nearest whole number). The median is: (Round to the nearest whole number). The third quartile is: (Round to the nearest whole number). Find the weight that is 2 standard deviations below the mean. (Round to the nearest whole number). A new player who is 215 pounds wants to join the team. How many standard deviations from the mean is this new player? (Round to two decimal places).
198 24 180 192 225 150 0.71 These questions are all meant to be done using the TI 84 or comparable calculator. Please watch the video that is linked from the question for instructions. Only the last question needs a specific formula. It asks for the z-score = (x - mean)/(standard deviation).
The histogram below shows the lengths of many spiders found on the forest floor. Histogram with tallest bar in the middle at 7, twice as tall as the many bars symmetrically dropping on the left and right. Without calculating, what might be the standard deviation for this data?
2 Since the bulk of the data is between 5 and 9, this range covers around two standard deviations: 4/2 = 2.
Find the sample standard deviation of the scores 0,2,2,2,2,3,5,8.
2.44949
For the set of scores 0, 0, 1, 1, 1, 2, 3, 5, 5, 5, 6, the mean is ______ .
2.636363636
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows: Sneakers Frequency 1 2 2 5 3 8 4 12 5 12 6 0 7 1 Round your answers to two decimal places. The mean is: The median is: The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents have had fewer than 4 pairs of sneakers? % 67.5% of all respondents have had at most how many pairs of sneakers?
3.775 4 1.29 3 5 37.5 4 The first five answers should come directly from the calculator. Please watch the video if you have troubles with this. The sixth question just involves adding up those below 4 and dividing by the total. The last one involves multiplying the percent by the total then see what number corresponds to that ranking.
Find the sample variance of the scores 0,2,2,2,2,3,5,8.
6
For the set of scores 0, 2, 6, 8, the median is ______ .
4
The statistics below shows the full time equivalent student (FTES) count for the history of Lake Tahoe Community College. mu = 1000, median = 1014, sigma = 474, Q1 = 528.5, Q3 = 1447.5, n = 29 A sample of 8 years are taken. What is the best prediction for the numbers of these years that have fewer than 1014 FTES? 25% of all years had at least how many FTES? 25% of all years had at most how many FTES? What percent of all the years had between 1014 and 1447.5 FTES? percent. What is the population standard deviation? How many standard deviations above the mean is the third quartile? Round your answer to three decimal places.
4. 1447.5 528.5 25 474 0.944 Since 1014 is the median, half of the sample is predicted to be less than this number. Asking about 25% more than a number is the same as 75% less, meaning the third quartile. Asking 25% less is the first quartile. Between the first and third quartile is the IQR or 50% of the data. The standard deviation is sigma. The last question asks for the z-score which is z = (x - mu)/sigma.
The statistics below describe the data collected by a business person who researched the amount of money 65 customers spent. mu = 27.52, Median=24.96, Sigma=6.34, Q1=18.34, Q3=34.18, n=65 A sample of 10 receipts is taken. What is the best prediction for the number of these receipts that were less than $24.96? 25% of all receipts were more than how much money? 25% of all receipts were less than how much money? What percent of all the receipts were between $18.34 and 35.72? 71.7 percent. What is the population standard deviation? How many standard deviations below the mean is the first quartile? Round your answer to three decimal places.
5 35.72 18.34 50 6.34 1.448 Since 24.96 is the median, half of the sample is predicted to be less than this number. Asking about 25% more than a number is the same as 75% less, meaning the third quartile. Asking 25% less is the first quartile. Between the first and third quartile is the IQR or 50% of the data. The standard deviation is sigma. The last question asks for the z-score which is z = (x - mu)/sigma.
What does a z-score measure?
A z-score is the number of standard deviations from the mean a data point is.
Consider the three histograms below that have the same range. Order them by standard deviation with lowest standard deviation first, then the middle standard deviation, and finally the highest standard deviation.
A, C, B
Describe non-sampling error.
An issue that affects the reliability of sampling data other than natural variation; it includes a variety of human errors including poor study design, biased sampling methods, inaccurate information provided by study participants, data entry errors, and poor analysis.
Variance is the square root of standard deviation.
False
The histogram below shows the lengths of many spiders found on the forest floor. Histogram with tallest bar in the middle at 7, twice as tall as the many bars symmetrically dropping on the left and right. Check each of the following that are true statements.
If there had been only 40 spiders of length 7 mm instead of 80, then the new standard deviation would be larger then the original standard devitiation A relative frequency histogram would also have the same shape, just a different scale on the vertical axis. This histogram is approximately normal.
Determine the level of measurement for the following variable: Longitude
Interval
Determine the level of measurement for the following variable: Temperature
Interval
The average weight of a newborn German Shepherd is 485 g with a standard deviation of 57 g. The average weight of a Labrador Retriever is 282 g with a standard deviation of 21 g. The average weight of a Poodle is 176 grams with a standard deviation of 8 g. Rover the German Shepherd was born at 400 g, Max the Labrador Retriever was born at 240 g, and Fluffy the Poodle was born at 184 g. Which of these three puppies is the smallest relative to its breed?
Max the Labrador Retriever Rover the German Shepherd is 1.5 standard deviations below the mean for its breed, Max the Labrador Retriever is 2 standard deviations below the mean for its breed, and Fluffy the Poodle is 1 standard deviation above its mean. Hence Max the Labrador Retriever is the smallest relative to his breed.
Determine whether the following is an example of a sampling error or a non sampling error. A sociologist surveyed 300 people about their level of anxiety on a scale of 1 to 100. Unfortunately, the person inputting the data into the computer accidentally transposed six of the numbers causing the statistics to have errors.
Non Sampling Error
A New York student, Alma, scored 135 points on her standardized state test that had a mean score of 115 and a standard deviation of 10. A Kansas student, Peter, scored 112 points on his standardized state test that had a mean score of 94 and a standard deviation of 6. A New Mexico student, Grace, scored 173 points on her standardized state test that had a mean score of 181 and a standard deviation of 8 points. Which student did the best relative to the rest of his or her state?
Pete Alma's score is 2 standard deviations above the mean for her state, Peter's score is 3 standard deviations above the mean for his state, and Grace's score is 1 standard deviation below the mean for her state. Peter's score is best relative to his state.
Political pollsters may be interested in the proportion of people that will vote for a particular cause. Match the vocabulary word with its corresponding example. All the voters in the district The 750 voters who participated in the survey The proportion of all voters from the district who will vote for the cause The proportion of the 750 survey participants who will vote for the cause The answer "Yes" or "No" to the survey question The list of 750 "Yes" or "No" answers to the survey question
Population Sample Parameter Statistic Variable Data
A rancher is interested in the average age that a cow begins producing milk. Match the vocabulary word with its corresponding example. All milk cows The 62 milk cows that were observed by the rancher The average age that all milk cows are when they first produce milk The average age for the 62 observed milk cows as they first produced milk The age when a milk cow first produced milk The list of the 62 ages
Population Sample Parameter statistic Variable Data
Determine whether the following is an example of a sampling error or a non sampling error. 12% of all people are left handed. A researcher randomly selected 200 people and found that 16% of them were left handed. No mistakes were made in the data collection or data recording. The 4% difference is due to ...
Sampling Error
Consider the boxplot below. boxplot with five point summary: 24,27,29,36,42 What quarter has the smallest spread of data? What is that spread? What quarter has the largest spread of data? What is that spread? Find the Inter Quartile Range (IQR): Which interval has the most data in it? What value could represent the 55th percentile?
Second 2 Third 7 9 26-29 31
Consider the boxplot below. boxplot with five point summary: 43,58,61,67,74 What quarter has the smallest spread of data? What is that spread? What quarter has the largest spread of data? What is that spread? Find the Inter Quartile Range (IQR): Which interval has the most data in it? What value could represent the 52nd percentile?
Second 3 First 15 9 57-61 63
Which of the following are reasons that a sampling technique may not be scientific. Choose all that apply.
The wording of survey question influences the response. The sample size is too small. The sample is not representative of the population. Two factors cannot be separated to determine which is the one that is responsible for the outcome. The graphs are drawn in a way to mislead the reader. The funders of the project are partial to the results. People who were asked refused to answer. Trying to conclude that there is a cause-and-effect relationship when something else causes both. Self-Selected Sample.
For the set of scores 0, 2, 6, 8, the mode is ______ .
There is no mode
Given a survey conducted of randomly selected people, the number of siblings people have is a discrete random variable and the distance from their bellybuttons to their knees is a continuous random variable.
True
