The range of a dataset is calculated by finding the difference between the maximum and minimum values. In this case, the maximum value is 82 and the minimum value is 68. So, the range is 82 - 68 = 14.
The interquartile range is calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset. To find Q1 and Q3, we first need to find the median of the dataset.
Arranging the heights in ascending order:
68, 70, 74, 75, 78, 82
The median is the middle value, which is 74.
Q1 is the median of the first half of the dataset (68, 70, 74), which is 70.
Q3 is the median of the second half of the dataset (74, 75, 78), which is 75.
Therefore, the interquartile range is 75 - 70 = 5.
So, the correct answer is:
The range is 14, and the interquartile range is 5.
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 5, and the interquartile range is 8.
○ The range is 14, and the interquartile range is 8.
The range is 14, and the interquartile range is 74.5.
1 answer