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?

Answer 1

Alan shoud use mean and range, mean is where you add all of the numbers up and divide by how many numbers there are, and range where you take the highest number and subtract it by the lowest number. This way he will find the greatest and least number of pins he knocked down 

Answer 2

Range.

Explanation:

Alan must use the measure called Range, which indicates the dispersion between the extreme values of a variable. It is calculated as the difference between the highest and the lowest value of the variable. It is denoted as R. First the data is sorted, then it is calculated as:

R = x (n) - x (1) where,

x (n): It is the largest value of the variable.

x (1): It is the smallest value of the variable.

In the given case (5, 6, 7, 5, 7, 9, 2, 4, 8, and 7), we sort the data, and get,

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

x (n) = 9

X (1) = 2

R = 9 - 2 = 7

Hope this helps!