The heights of basketball players (cm) in one NBA team are given as follows. {158, 180, 185, 192, 192, 195, 196, 198, 200, 205, 213}. The data can be represented in the box-and whisker plot below (picture).
(a) Find the values of a, b , c, d, and e.
(b) Calculate d-b. What does it represent?
(b) Calculate e-a. What does it represent?

The heights of basketball players cm in one NBA team are given as follows 158 180 185 192 192 195 196 198 200 205 213 The data can be represented in the boxand class=

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Answer:

Below in bold.

Step-by-step explanation:

(a)    a = 158.

The median = the middle value = c = 195.

The lower quartile = the middle value of the first 5 heights = 185 = b.

The upper quartile = the middle value of the last  5 heights = 200 = d.

(b)  d - b = 200 - 185 = 15 = the interquartile range (IQR).

(c)  e - a  is the range = 213 - 158 =  55.