Q T1.7. - The Practice of Statistics for AP

Question

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

$\left(a\right) 45. \left(b\right) 44. \left(c\right) 43. \left(d\right) 32. \left(e\right) 23.$

Step-by-Step Solution

Answer

The correct option is (b) $44$

Step 1: Given information

0	2	8
1	2	2	4	5
2	0	1	3	3	3	3	5	8	8	8	9
3	0	0	1	3	5	6	6	7	9
4	2	2	4	4	4	4	6	6	7	8	8
5	0	0	0

Step 2: Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

Step 3: Calculation

The third quartile place will be determined as follows: 

$Q3 =3\times 40= 30th$

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