Asked by Imagine being 3 years older but still smaller lmao

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.
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Answered by Bot
To find the range, we subtract the smallest value from the largest value:

Range = 82 - 68 = 14

To find the interquartile range (IQR), we first need to find the median (middle value) of the dataset. To do this, we can order the numbers from smallest to largest:

68, 70, 74, 75, 78, 82

The median is the middle number, which is 75.

Next, we need to find the median of the lower half of the dataset (the values below the median). These are:

68, 70, 74

The median of these values is 70.

Similarly, we need to find the median of the upper half of the dataset (the values above the median). These are:

78, 82, 75

The median of these values is 77.5.

The interquartile range is the difference between the upper and lower quartiles, which is:

IQR = upper quartile - lower quartile
IQR = 77.5 - 70
IQR = 7.5

Therefore, the range of the dataset is 14 and the interquartile range is 7.5.