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Each of the following three data sets represents the IQ scores of a random sample of adults. 1Q scores are known to have a mean and median of 100. Full data set Sample of Size 5 98 107 119 91 91 107 116 119 95 Sample of Size 12 91 98 100 103 91 106 119 111 Sample of Size 30 98 100 116 106 92 107 116 112 119 95 106 91 103 113 91 106 118 119 111 108 95 91 105 103 104 102 96 117 98 101

Each of the following three data sets represents the IQ scores of a random sample of adults. 1Q scores are known to have a mean and median of 100. Full data set Sample of Size 5 98 107 119 91 91 107 116 119 95 Sample of Size 12 91 98 100 103 91 106 119 111 Sample of Size 30 98 100 116 106 92 107 116 112 119 95 106 91 103 113 91 106 118 119 111 108 95 91 105 103 104 102 96 117 98 101

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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19 b 

 

in boxes you choose ftom 

1. increases / decreases / remains constant 

2. substantially increases / decreases / remains mostly constant

Each of the following three data sets represents the IQ scores of a random sample of adults. 1Q scores are known to have a mean and median of 100. Full data set O Sample of Size 5 98 107 119 91 91 107 116 Sample of Size 12 91 103 119 91 119 98 100 95 106 111 Sample of Size 30 98 107 119 91 91 119 116 95 103 100 106 111 112 106 113 116 118 108 95 105 104 106 96 98 91 103 102 92 117 101
Transcribed Image Text:Each of the following three data sets represents the IQ scores of a random sample of adults. 1Q scores are known to have a mean and median of 100. Full data set O Sample of Size 5 98 107 119 91 91 107 116 Sample of Size 12 91 103 119 91 119 98 100 95 106 111 Sample of Size 30 98 107 119 91 91 119 116 95 103 100 106 111 112 106 113 116 118 108 95 105 104 106 96 98 91 103 102 92 117 101
For each data set recalculate the mean and median, assuming that the individual whose IQ is 107 is accidently recorded as 170. What is the mean of the new sample of size 5? (Type an integer or decimal rounded to one decimal place as needed.) What is the mean of the new sample of size 12? (Type an integer or decimal rounded to one decimal place as needed.) What is the mean of the new sample of size 30? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 5? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 12? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 30? (Type an integer or decimal rounded to one decimal place as needed.) For each sample size, state what happens to the mean and median. For each sample size, the mean and the median Comment on the role that the number of observations plays in resistance. O A. As the sample size increases, the impact of the misrecorded data on the mean decreases. O B. As the sample size increases, the impact of the misrecorded data on the mean increases. OC. As the sample size increases, the impact of the misrecorded data on the mean remains the same.
Transcribed Image Text:For each data set recalculate the mean and median, assuming that the individual whose IQ is 107 is accidently recorded as 170. What is the mean of the new sample of size 5? (Type an integer or decimal rounded to one decimal place as needed.) What is the mean of the new sample of size 12? (Type an integer or decimal rounded to one decimal place as needed.) What is the mean of the new sample of size 30? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 5? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 12? (Type an integer or decimal rounded to one decimal place as needed.) What is the median of the new sample of size 30? (Type an integer or decimal rounded to one decimal place as needed.) For each sample size, state what happens to the mean and median. For each sample size, the mean and the median Comment on the role that the number of observations plays in resistance. O A. As the sample size increases, the impact of the misrecorded data on the mean decreases. O B. As the sample size increases, the impact of the misrecorded data on the mean increases. OC. As the sample size increases, the impact of the misrecorded data on the mean remains the same.
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