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)
A The range is 14, and the interquartile range is 4.5.
B The range is 5, and the interquartile range is 8.
C The range is 14, and the interquartile range is 8.
D The range is 14, and the interquartile range is 74.5.

1 answer

C The range is 14, and the interquartile range is 8.

To calculate the range, we subtract the minimum value from the maximum value: 82 - 68 = 14.

To calculate the interquartile range, we need to first find the first and third quartiles.
1. Order the data: 68, 70, 74, 75, 78, 82
2. Find the median of the lower half (Lower Quartile): (70 + 74) / 2 = 72
3. Find the median of the upper half (Upper Quartile): (75 + 78) / 2 = 76.5
4. Calculate the interquartile range: 76.5 - 72 = 4.5

Therefore, the correct answer is C. The range is 14, and the interquartile range is 8.