Question

ANALYSIS AND STATISTICS Mean and median of a data set Each of 7 students reported the number of movies they saw in the past year. This is what they reported. 12, 13, 8, 19, 7, 15, 15 Find the mean and median number of movies that the students saw. If necessary, round your answers to the nearest tenth. (a) Mean: movies (b) Median: movies X S ?

Answer 1

From the illustration and analysis given, we are asked to find the mean and the median movies.

The following are the data given:

12, 13, 8, 19, 7, 15, 15

First lets arrange the data give in ascending order:

7, 8, 12, 13, 15, 15, 19

(a) Find the mean:

Mean = sum of data values

Number of data values

Number of data values = 7

Mean = 7 + 8 + 12 + 13 + 15 + 15 + 19

7

Mean = 89/7

Mean = 12.7

(b) Find the median:

Meadin is the middle number when you have the number of data values as odd numbers.

In this case it is an odd number so the median will be the middle number.

So from these data:

7, 8, 12, 13, 15, 15, 19

The number that is at the middle is 13.

So, the Median is = 13