Pg 104, problem 3-35 A college registar has been asked to prepare a report about
ID: 3070659 • Letter: P
Question
Pg 104, problem 3-35 A college registar has been asked to prepare a report about the graduate students. Among other things, she wants to analyze the ages of the students. She has taken a sample of ten graduate students and has found the following ages: 32, 22, 24, 27, 27, 33, 28, 23, 24, 21
A) compute the range, interquartile range and standard deviation for these data. Thanks very much.
a gift. 3-35. A college registrar has been asked to prepare a report about the graduate students. Among other things, she wants to analyze the ages of the students. She has taken a sample of ten graduate students and has found the following ages: 32 22 24 27 27 33 28 23 24 21 a. Compute the range, interquartile range, and standard deviation for these data. b. It is thought that the mean age of graduate students in U.S. colleges and universities is 37.8 years. Based on your calculations in part a, what might you conclude about the age of students in this college's programs? 3-36. The branch manager for the Commercial Savings & Trust Bank has been asked to prepare a presentation f next week's board meeting. At the presentation, she will discuss the status of her branch's loans issued for recreation vehicles (RVs). In particular, she will analyze the loan balances for a sample of ten RV loans The following data were collected: S11,509 $8.088 $13,415 $17,028 $16,754 $18,626$4,917$11,740 $16,39375 $ 8,757 a. Compute the mean loan balance. b. Compute the loan balance standard deviationExplanation / Answer
( a )
Range :
The lowest value is 21.
The highest value is 33.
The range = 33 - 21 = 12
Interquartile range :
The interquartile range is the difference between the third and first quartiles.
The third quartile is 28.
The first quartile is 23.
The interquartile range = 28 - 23 = 5.
Standard deviation :
sum of (data - mean)2 = 148.9
Standard deviation =sqrt (148.9 / 9 )
= 4.0675
data data-mean (data - mean)2 32 5.9 34.81 22 -4.1 16.81 24 -2.1 4.41 27 0.9 0.81 27 0.9 0.81 33 6.9 47.61 28 1.9 3.61 23 -3.1 9.61 24 -2.1 4.41 21 -5.1 26.01