Chapter 2, Section 2.3, Question P28 Your answer is partially correct. Try again

Question

Chapter 2, Section 2.3, Question P28 Your answer is partially correct. Try again. The mean height of a class of 15 children is 48 in., the median is 51 in., the standard deviation is 2.4 in., and the interquartile range is 3 in. Find exactly the mean, standard deviation, median, and interquartile range if a. you convert each height to feet The mean is feet, the median is 3.75 feet, the standard deviation is 0.2 feet, and the interquartile range is 0.25 feet. b. each child grows 5 in The mean is 50 47 2.4 in., the median is in., the standard deviation is in., and the interquartile range is in c. each child grows 9 in. and you convert the heights to feet The mean is 4 1/3 4 1/12 0.2 0.25 feet, the median is feet, the standard deviation is feet, and the interquartile range is feet.

Explanation / Answer

a) Mean is 48/12 =4

median = 51/4 = 12.75

Standard deviation = 2.4/12 = 0.2

Interquartile range = 3/12 = 0.25

b) Mean is 48+5 = 53

median = 51+5 = 56

Standard deviation = 2.4

Interquartile range = 3

c) Mean is = (48+9)/4 = 14.25

median = (51+9)/4 = 15

Standard deviation = 2.4/12 = 0.2

Interquartile range = 3/12 = 0.25

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