Question

A 6th grade football team played six games and scored 17, 14, 30, 24, 21, and 14 points. In their seventh game,

they scored 79 points. Which Measure of Central Tendency changed the most after the seventh game?

a. Mean

b. Median

c. Mode

and why?

a. 79 points is an outlier, and the mean is most responsive to outliers.

b. 7 is an odd number of games, so the median changes more than the mean.

c. 79 is the highest number of points, so the mode changes.

d. The sandwich changed into a pizza

Answer 1

a. Mean

a. 79 points is an outlier, and the mean is most responsive to outliers.

Explanation:

17, 14, 30, 24, 21, and 14

Let's calculate the measure of central tendency of the numbers first.

Mean = 120/6

Mean = 20

For Median

Let's arrange the numbers in ascending order

14,14,17,21,24,30

The median is 17 and 21

Median value =( 17+21)/2

Median = 38/2

Median = 19

Mode = 14.

After 79 was added.

Mean =( 120+79)/7

Mean = 199/7

28.43

For Median

14,14,17,21,24,30,79

Median= 21

Mode = 14

The value that changed the most was the mean value.