Question

The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27


What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.

Answer 1

the IQR is the best measure which equals 16

Explanation:

the 2nd option is not correct because, while the range is 45, there are only two out of eleven data items above 45, which is not representative of the majority of the data

the 3rd option is incorrect because the IQR does not equal 45, it's 16

the 4th option is incorrect because the range does not equal 16, it's 45