Chapter 12

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May 31, 2024

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Chapter 12 1. Find the range for the group of data items. 4,5,6,7,8 The range is 4 2. Find the range for the group of data items. 26,26,27,27,28,28 The range is 2 3. A group of data items and their mean are given. 136,172,212,216,232,328; Mean = 216 a. Find the deviation from the mean for each of the data items. b. Find the sum of the deviations in part (a). a. Type the deviation from the mean for each of the data items. 136 172 212 -80 -44 -4 b. The sum of the deviations in part (a) is 0 4. Find the standard deviation for the group of data items. 15,16,17,18,19 216 0 232 328 16 112 The standard deviation is 1.58 . (Round to two decimal places as needed.) 5. Find the standard deviation for the group of data items. 16,12,16,12,16,12,16,12 The standard deviation is 2.14 . (Round to two decimal places as needed.) 6. Use the display of data to find the standard deviation. The standard deviation is 0 15 >- 12 9 6 3 (Type an integer or decimal rounded to two decimal places as needed.) 7. Find the standard deviation for the group of data items. Stems Leaves 2 7 3 3 7 4 3 7 6 7 The standard deviation is 7.92 . (Round to two decimal places as needed.) https://tdx. acs.pearsonprd. tech/ api/v1 /prinUhig hered Score 8 9 10 11 12 1/3

8. Describe why the range might not be the best measure of dispersion. Choose the correct answer below. :J A. The range is a quick but rough measure of dispersion. It is found by determining how much each data item differs from the mean, but is not dependent on all of the data items. Similarly, the standard deviation is also found by determining how much each data item differs from the mean, but is a measure of dispersion that is dependent on all of the data items and therefore is generally more useful. n B. The range is a quick but rough measure of dispersion. It is found by determining how much each data item differs from the mean. On the other hand, the standard deviation is a measure of dispersion that is found by determining how much each data item differs from the median, and therefore is generally more useful. c ,!! C. The range is a quick but rough measure of dispersion. It is the difference between the highest and lowest data values in a data set. On the other hand, the standard deviation is a measure of dispersion that is dependent on all of the data items, and therefore is generally more useful. -) D. The range is a quick but rough measure of dispersion. It is dependent on all of the data items. On the other hand, the standard deviation is the difference between the highest and lowest data values in a data set, and therefore is generally more useful. 9. Two classes took a statistics test. Both classes had a mean score of 73. The scores of class A had a standard deviation of 5 and those of class B had a standard deviation of 10. Discuss the difference between the two classes' performance on the test. Choose the correct answer. , "' A. The students in class A received scores that differed from the mean less than the students in class B. �l B. There is not enough information to discuss the differences between the two classes' performance on the test. The range for each class could be the same or could be different in this instance. n C. There is not enough information to discuss the differences between the two classes' performance on the test. The mean for each class could be the same or could be different in this instance. 0 D. The students in class A received scores that differed from the mean more than the students in class B. 10. Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The standard deviation for the heights of a group of 5-year-old children is smaller than the standard deviation for the heights of a group of children who range in age from 3 to 15. Choose the correct answer below. (_ i, A. The statement makes sense because the range of data for the heights of a group of 5-year-old children is smaller than the range of data for the heights of a group of children who range in age from 3 to 15. U B. The statement does not make sense because the range of data for the heights of a group of 5-year-old children is larger than the range of data for the heights of a group of children who range in age from 3 to 15. U C. The statement makes sense because the range of data for the heights of a group of 5-year-old children is larger than the range of data for the heights of a group of children who range in age from 3 to 15. 0 D. The statement does not make sense because the range of data for the heights of a group of 5-year-old children is smaller than the range of data for the heights of a group of children who range in age from 3 to 15. https://tdx.acs.pearsonprd. tech/api/v1 /prinUhig hered 2/3

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