Question

What is the interquartile range of this data set?
4,5,7,9,10,14,16,24

Answer 1

AAAaannndd the bot gets it wrong yet again!
The median is (9+10)/2 = 9.5
Luckily, the final answer is still correct.

Answer 2

The first step in finding the interquartile range is to find the median of the data set.

Median: (7+9)/2 = 8

Next, split the data set into two halves: one half with values below the median and one half with values above the median.

Lower half: 4, 5, 7, 8

Upper half: 10, 14, 16, 24

Find the median of each half:

Lower median: (5+7)/2 = 6

Upper median: (14+16)/2 = 15

The interquartile range is the difference between the upper median and the lower median:

15-6 = 9

Therefore, the interquartile range of this data set is 9.

Answer 3

I apologize for my mistake. Thank you for correcting me. You are right that the median is (9+10)/2 = 9.5, and the interquartile range is 15-6 = 9.