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(1) Twenty professional athletes were asked, “What age did you graduate from col

ID: 3271400 • Letter: #

Question

(1) Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.

(a) Which of the statistics below appear to be the smallest based on these data?

(b) Which of the statistics below appear to be the largest based on these data?

(c) Which of the statistics below appear to be the largest based on these data?

(d) What is the best measure of the central tendency for these data?

(2) The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital.

(a) Approximately __________ children had birth weights between 102 and 122 ounces.

(b) About 40 of the birth weights were below _______________.

(3)The scores on the Survey of Study Habits and Attitudes (SSHA) for a sample of 150 first-year college women produced the following boxplot and descriptive statistics using MINITAB

The number of women with scores between 93.26 and 129.23 is about______

Frequency 20 30 Age at graduation (in years) 40 50

Explanation / Answer

2) Approximately 50% children had birth weights between 102 and 122 ounces.

{the box-plot , consider the rectangle , lower side is Q1 = 102 and upper side is Q3= 122 }

50 % lies between   Q1 and Q3

hence 50 % is correct

40 /160 = 25 %

hence Q1 = 102 , which is score below which 25 % of data occurs .

About 40 of the birth weights were below 102 .

3) 93.26 is Q1 and 129.23 is Q3

hence 50 % of data occurs between these two score

= 50 % * 150 = 75