5. A list of numbers consists of: 13, 9, 11, 7, and 10. 9ldon (a) Find the average and the SD of this list. i. Which entries are within 1 SD of the average of the list? ii. Which entries are within 2 SDs of the average of the list? (b) Convert each entry on the list to standard units (that is, using ti list), making a new list of five numbers. i. Find the average and SD of the converted list.

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Author:Amos Gilat
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Question 5
5. A list of numbers consists of: 13, 9, 11, 7, and 10. eldor weiv
(a) Find the average and the SD of this list.
i. Which entries are within 1 SD of the average of the list?
ii. Which entries are within 2 SDs of the average of the list?
(b) Convert each entry on the list to standard units (that is, using the average and SD of the
list), making a new list of five numbers.
i. Find the average and SD of the converted list.
6. A survey of a large group of men found that their average height was 67 inches with an SD of
4 inches.
(a) A 72.4-inch man has what percentile rank in height? (Assume normal curve.)
(b) How tall is a man whose percentile rank in height is 40%? (Assume normal.)
(c) Assuming the normal curve, about what percentage of the men in this group are between
62 and 66 inches tall?
7. Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with
an average of 500 and an SD of 100. Fill in the blanks; explain briefly.
(a) A student who scored 505 on the Math SAT was at the
percentile of the score
distribution.
(b) To be at the 54th percentile of the distribution, a student needed a score of about
on the M
SAT.
Transcribed Image Text:5. A list of numbers consists of: 13, 9, 11, 7, and 10. eldor weiv (a) Find the average and the SD of this list. i. Which entries are within 1 SD of the average of the list? ii. Which entries are within 2 SDs of the average of the list? (b) Convert each entry on the list to standard units (that is, using the average and SD of the list), making a new list of five numbers. i. Find the average and SD of the converted list. 6. A survey of a large group of men found that their average height was 67 inches with an SD of 4 inches. (a) A 72.4-inch man has what percentile rank in height? (Assume normal curve.) (b) How tall is a man whose percentile rank in height is 40%? (Assume normal.) (c) Assuming the normal curve, about what percentage of the men in this group are between 62 and 66 inches tall? 7. Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 500 and an SD of 100. Fill in the blanks; explain briefly. (a) A student who scored 505 on the Math SAT was at the percentile of the score distribution. (b) To be at the 54th percentile of the distribution, a student needed a score of about on the M SAT.
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