Question

The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.

(a) Compare the populations using measures of center and variation.


(b) Express the difference the measures of center as a multiple of each measure of variation.

Answer 1

Kindly check explanation

Explanation:

Using the Median (measure of center) and range

Room 212 :

Median = 20

Range = maximum - minimum = (22 - 15) = 7

Interquartile range = Q3 - Q1

Q3 = 21

Q1 = 19

IQR = 21 - 19 = 2

ROOM 214 :

Median = 22

Range = maximum - minimum = (25 - 16) = 9

Interquartile range = Q3 - Q1

Q3 = 23

Q1 = 20

IQR = 23 - 20 = 3