5. Use the following to answer questions a-g: Students in an introductory statis

Question

5. Use the following to answer questions a-g: Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
a. From the boxplot you can identify how many students are in the class (True and False) . b. Use the boxplot to estimate the median number of scars that students in the class have on their dominant hand. c. The distribution of the number of scars would be classified as A) skewed to the left. B) roughly symmetric. C) skewed to the right. d. Calculate the IQR for the distribution of the number of scars students have. e. Which answer best describes the following conclusion? "There are no students with 7 scars on their dominant hand." A) True B) False C) Cannot be determined f. Which answer best describes the following conclusion? "There are no students with 2 scars on their dominant hand." A) True B) False C) Cannot be determined    g. The mean can be determined exactly from the boxplot. A) True B) False C) Cannot be determined 8 10 12 6 Number of Scars 0 2 4

Explanation / Answer

Solution:-

a) From the boxplot you can identify how many students are in the class. False

b) The median number of scars that students in the class have on their dominant hand is 1.5.

c) The distribution of the number of scars would be classified as C) skewed to the right.

d) The IQR for the distribution of the number of scars students have is 2.

IQR = 3rd quartile - 1st quartile

IQR = 3 - 1

IQR = 2   

e) "There are no students with 7 scars on their dominant hand." True.

f ) "There are no students with 2 scars on their dominant hand." C) Cannot be determined.

g) The mean can be determined exactly from the boxplot.B) False

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