Question

Over the first five years of owning her car, Gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050 the third year, 11,350 the fourth year, and 13,325 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.

Answer 1

a. Mean: 13,027.2

Mode: none

Median: 12,200

b. The mean is the best indicator of on average how many miles Gina will drive.

Explanation:

The data set is 11,350; 12,050; 12,200; 13,325; and 16,211.

The mean is the average found by adding all the values and dividing by 5.

`(12,200 + 16,211 + 12,050 + 11,350 + 13,325)/(5) = (65,136)/(5) = 13,027.2`

The mean is 13,027.2.

The mode is the number that occurs most often. No numbers repeat so none.

The median is the number in the dead center of the data set when listed in order. Median is 12,200.