Question

Alan bowls one game, which consists of 10 frames. The number of pins he knocked down in each frame is 5, 6, 7, 5, 7, 9, 2, 4, 8, and 7. Which measure should Alan use to learn the difference of the greatest and the least number of pins he knocked down?

range
interquartile range
median
mode

Answer 1

Range....Range is the difference between the lower and upper values.

Answer 2

Explanation:

It is given that the given data set is:

5, 6, 7, 5, 7, 9, 2, 4, 8, and 7.

In order to find the the difference of the greatest and the least number of pins, first arrange the given data set in ascending order, we have

2, 4, 5, 5, 6, 7, 7, 7, 8, 9

Now, we use the range in order to find the difference of the greatest and the least number of the given data set,thus by the definition of the range, we have

`Range=Highest term-lowest term`

`Range=9-2`

`Range=7`

Therefore, Alan use range to learn the difference of the greatest and the least number of pins he knocked down which is equal to 7.