Question

The heights in inches of six basketball players at a local

high school are given as a dataset.
70,78,74,82,68,75
Find the range and the interquartile range of the
dataset.
(1 point)
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 8.
The range is 14, and the interquartile range is 74.5.
The range is 5, and the interquartile range is 8.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the range, we subtract the smallest value from the largest value:

Range = 82 - 68 = 14

To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).
Q1 is the median of the lower half of the dataset:
Q1 = (68 + 70) / 2 = 69

Q3 is the median of the upper half of the dataset:
Q3 = (75 + 78) / 2 = 76.5

Interquartile range = Q3 - Q1 = 76.5 - 69 = 7.5

Therefore, the correct answer is:
The range is 14, and the interquartile range is 7.5.