STATS Assignment Questions

Given the frequency table, what is the mean? (Single Intervals) Data = 2, 4, 5, 8 Frequency = 3, 2, 2, 1

4 Multiply the data values by their corresponding frequencies: 2(3)+4(2)+5(2)+8(1)=32 Then add the frequencies together to find the total number of data values: 3+2+2+1=8 Divide 32 by 8 to find the mean, which is 4.

Given the following list of tips (in dollars) earned in the last hour by waiters in a Japanese restaurant, find the median. 30,17,47,47,26,17,36,31,21,17

=28 DOLLARS It helps to put the numbers in order. 17,17,17,21,26,30,31,36,47,47 Now, because the list has length 10, which is even, we know the median number will be the average of the middle two numbers, 26 and 30. So the median amount of tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is 28

Dolores recently enrolled in a retirement plan. Find the median of the following prices per share (in dollars) of the stocks in her retirement portfolio. 35,43,18,35,29,27,19,19

Ans $28 It helps to put the numbers in order. 18,19,19,27,29,35,35,43 Now, because the list has length 8, which is even, we know the median number will be the average of the middle two numbers, 27 and 29. So the median prices per share (in dollars) of the stocks in her retirement portfolio is 28.

Is the statement below true or false? Data is a subset of the population studied. Select the correct answer below: True False

False A sample is defined as a subset of the population studied. Data is defined as a set of observations or possible outcomes.

What is all individuals, objects, or measurements whose properties are being studied? population variable statistic data

Population A population is defined as all individuals, objects, or measurements whose properties are being studied.

here are 6000 people who attended a political debate at a convention center. There are three candidates who are participating in the debate - Mr. Smith, Mr. Jones, or Ms. Roberts. You want to find out which candidate is most popular amongst the people attending. You ask 500 people as they walk into the convention center. Which represents the population in this scenario? Select the correct answer below: The three candidates - Mr. Smith, Mr. Jones, and Ms. Roberts The 500 people surveyed The 6000 people attending the debate Everyone who has been the convention center that month

The 6000 people attending the debate The three candidates should not be surveyed in order to determine which candidate is most popular amongst the people attending. The population is the total number of people who are attending the political debate.

A 2016 Pew Research poll estimated the proportion of people supporting each presidential candidate in the fall election. They based their estimates on telephone interviews of 2,010 adults living in all 50 U.S. states. They asked each participant which presidential and vice presidential candidate they support, and used that data to calculate the proportions. What is the statistic in this experiment? Select the correct answer below: The candidate each participant supports. The number of people Pew Research interviews. The number of people in the United States. The proportions of participants who support each presidential candidate. The proportions of U.S. adults who support each presidential candidate.

The proportions of participants who support each presidential candidate. Remember that the statistic in an experiment is the numerical characteristic of the sample. Therefore, the statistic in this example is the proportions in the sample, the proportions of participants who support each candidate.

Is the statement below true or false? A parameter is a number that is used to represent a population characteristic and that generally cannot be determined easily. True False

True

Is the statement below true or false? A variable is a characteristic of interest for each person or object in a population. True False

True It is true that a variable is defined as a characteristic of interest for each person or object in a population.

Is the statement below true or false? Data is a set of observations or possible outcomes.

True It is true that data is defined as a set of observations or possible outcomes

Angela wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 200 randomly selected students in the school. What is the data? The mean number of siblings for all students in the school the mean number of siblings for the randomly selected students the specific number of siblings for each randomly selected student all the students in the school the 200 randomly selected students

the specific number of siblings for each randomly selected student. Data is a set of observations. In this case, the data is the specific number of siblings for each randomly selected student.

Find the mode of the following number of computers available to students at randomly selected high school libraries. 9,19,7,16,13,19,7,13,13

ANS 13 If we count the number of times each value appears in the list, we get the following frequency table: Value Frequency 7 2 9 1 13 3 16 1 19 2 Note that 13 occurs 3 times, which is the greatest frequency, so 13 is the mode of the number of computers available to students at randomly selected high school libraries.

The International Shark Attack File recorded the number of shark attacks between 1837 and 2016 for 9 different U.S. states. What is the median number of shark attacks over these states? 4, 8, 5, 13, 3, 4, 1, 10, 2 Provide your answer below:

ans = 4 1, 2, 3, 4, ,(4) 5, 8, 10, 14 To find the median of a set of data with an odd number of data values, order the values from least to greatest and find the middle value.

Given the frequency table below for a list of recorded lengths (in inches) of randomly sampled garden snakes, find the mean. Value: 9, 10, 11, 12, 13, 14, 15 Frequency: 8, 3, 2, 2, 1, 1, 3

11 INCHES Remember that the mean is the sum of all the numbers divided by the number of numbers. The frequency table tells you the number of time that each number appears in the set of data. So to get the sum of all the numbers in the set of data, we take each frequency multiplied by its value and add them all up: Sum=9⋅8+10⋅3+11⋅2+12⋅2+13⋅1+14⋅1+15⋅3=72+30+22+24+13+14+45=220 The number of numbers in the list is the sum of the frequencies. Number of numbers=8+3+2+2+1+1+3=20 So the mean of the recorded lengths (in inches) of randomly sampled garden snakes is SumNumber of numbers=22020=11

Given the set of data, what is the median? 89,78,67,80,88,90,93,96,59,64 Select the correct answer below: 80 83 84 88

84 59, 64, 67, 78, (80, 88,) 89, 90, 93, 96 80 +88 = 168/2 = 84 To find the median of a set of data with an even number of data values, order the values from least to greatest, and find the average of the two middle numbers.

Find the mode of the following number of safety pins found by each participant during a scavenger hunt. 14,15,15,15,5,18,15,12,5

ANS 15 If we count the number of times each value appears in the list, we get the following frequency table: Value Frequency 5 2 12 1 14 1 15 4 18 1 Note that 15 occurs 4 times, which is the greatest frequency, so 15 is the mode of the number of safety pins found by a participant during a scavenger hunt

Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected students attending the college. What is the population? Select the correct answer below: the mean height of the randomly selected students the mean height of all students attending the college the 100 randomly selected students all the students attending the college the heights of the randomly selected students

all the students attending the college The population is the entire group of individuals being studied. In this case, the population is all the students attending the college.

Which of the following represents the population in the scenario below? A researcher wants to know what percentage of people who live in Germany are satisfied with their government. Surveys are sent to people who live in the city limits of Berlin, Frankfurt, and Munich of Germany. Select the correct answer below: a. People who live in Europe b. People who live in Germany c. People who live in Berlin, Frankfurt, or Munich d. People who live in Berlin

b. People who live in Germany The researcher wants to learn about the satisfaction of all the people in Germany, so this is the population.

Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the DATA?

specific "yes" or "no" responses to the survey. Data is a set of observations. In this case, the data is specific "yes" or "no" responses to the survey.

Nick wants to estimate the percentage of homeowners that own at least one dog. He surveys 150 randomly selected individuals to determine whether or not they own dogs. What is the sample? Not quite - review the answer explanation to help get the next one. the percentage of surveyed homeowners that own at least one dog all homeowners the percentage of all homeowners that own at least one dog specific responses to the survey the 150 homeowners surveyed

the 150 homeowners surveyed A sample is a specific subset of the entire group of individuals being studied. In this case, the sample is the 150 homeowners surveyed.

Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected students attending the college. What is the parameter? the heights of the randomly selected students the mean height of all students attending the college the mean height of the randomly selected students the 25 randomly selected students all the students attending the college

the mean height of all students attending the college. A parameter is a number that is used to represent a population characteristic. In this case, the parameter is the mean height of all students attending the college.

Elliot likes to find garden snakes in his backyard and record their lengths. Estimate the mean of the lengths (in inches) of the garden snakes given in the following grouped frequency table. Round the final answer to one decimal place.

ANS 11.5 Remember that to estimate the mean, we first find the midpoint of each interval: Midpoint Frequency 5.5 7 9.5 6 13.5 12 17.5 5 Now, we treat this as if it were a regular frequency table. We take each midpoint multiplied by its frequency, add them up, and divide by the total number of values. The sum is 5.5⋅7+9.5⋅6+13.5⋅12+17.5⋅5=345 We find the total number of values by adding up the frequency column: 7+6+12+5=30 Finally, dividing the sum by the total number of values, we find our mean estimate of the lengths (in inches) of the garden snakes is: Mean estimate=34530=11.5

Given the frequency table, what is the estimated mean? (Group Intervals) Data Frequency 4-9 5 10- 15 4 16- 21 2

Data .............. Frequency ...........Midpoint Sum of Midpoint 4-9 5 ..................4+9/2= 6.5 ...................6.5 x 5 = 32.5 10- 15.................. 4 10+15/2 = 12.5............. 12.5 X 4 = 50 16- 21.................... 2 16+21/2 =18.5 ...................18.5 X 2 = 37 Totals .......................11........................................119.5 Estimated Mean = Sum of Midpoints/Sum of Data Value (Frequency) Therefore: - 119.5 / 11 = 10.86 Answer Explanation Correct answer: 10.86 To find the sum, you can multiply each data value by it's corresponding frequency and then add those products together. The sum of the midpoints multiplied by their frequencies is: 6.5(5) + 12.5(4) + 18.5(2) = 119.5 To find the number of data values, add the frequencies of the data values: 5+4+2=11. In order to find the mean, divide 119.5 by 11 to get 10.86, which is the estimated mean of the data.

You want to find the average test score of the students in every math class in 11th grade. There are 15 math classes in 11th grade. You survey the scores of 7 math classes, and you calculate that the average test score is 83%. Which of the following represent the sample and the parameter in this scenario? Sample: 7 math classes Parameter: There is no parameter in this scenario. Sample: 7 math classes Parameter: the average test score of 83% Sample: 15 math classes Parameter: There is no parameter in this scenario. Sample: 15 math classes Parameter: the average test score of 83%

The sample of 7 math classes is a portion of the total population (15 math classes). A parameter is a number that is representative of the population, but the 83% is the average test score determined from the sample. 83% is the statistic here, because it is a number that represents the sample.

Anna wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 75 randomly selected students in the school. What is the statistic? Select the correct answer below: the specific number of siblings for each randomly selected student all the students in the school the mean number of siblings for all students in the school the mean number of siblings for the randomly selected students the 75 randomly selected students

the mean number of siblings for the randomly selected students A statistic is a numerical characteristic of the sample. In this case, the statistic is the mean number of siblings for the randomly selected students. Your answer:

Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers. What is the PARMATER? the percentage of surveyed parents that use cloth diapers the 200 people surveyed specific "yes" or "no" responses to the survey the number of parents that use cloth diapers.

the number of parents that use cloth diapers.

Douglas wants to estimate the percentage of homeowners that own at least one dog. He surveys 125 randomly selected homeowners to determine whether or not they own dogs. What is the statistic? the percentage of surveyed homeowners that own at least one dog specific responses to the survey the percentage of all homeowners that own at least one dog the 125 homeowners surveyed all homeowners

the percentage of surveyed homeowners that own at least one dog A statistic is a numerical characteristic of the sample. In this case, the statistic is the percentage of surveyed homeowners that own at least one dog.