Forty students took a statistics examination having a maximum of 50 points. The score distribution is given in the following stem-and-leaf plot:


The third quartile of the score distribution is equal to (a) 45. (b) 44. (c) 43. (d) 32. (e) 23.

Short Answer

Expert verified

The score distribution's third quartile is 44 i.e option (b)

Step by step solution

01

Given information

Given,

02

Explanation for correct option

The third quartile position will be determined as follows:

Q3=3×404=30th

The third quartile, or the 30th score of the score distribution, is equal to 44, according to the score distribution stem plot.

Hence, option (b) is correct

As a result, the score distribution's third quartile is 44.

03

Explanation for incorrect option

(a) The third quartile of the score distribution will not be equal to 45.

(c) The third quartile of the score distribution will not be equal to 43.

(d) The third quartile of the score distribution will not be equal to 32.

(e) The third quartile of the score distribution will not be equal to23.

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