Question

7. The data represent the number of cans collected by different classes for a
service project. (Lesson 1-9)
12 14 22 14 18 23 42 13 9 19 22 14
a. Find the mean.
b. Find the median.
c. Eliminate the greatest value, 42, from the data set. Explain how the
measures of center change.

1. Latifah
a. Mean = 18.5
b. Median = 16
c. The measure of center would reduce if we eliminate the greatest value, 42.

### How to Find the Mean and the Median of a Data Set?

The mean and the median are both measures of center.
The mean of a data = average of all the data points in the data set.
The median, on the other hand, is the center value of the data distribution or the average of the two center values.
Given the data, 12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14
a. Mean = (12 + 14 + 22 + 14 + 18 + 23 + 42 + 13 + 9 + 19 + 22 + 14)/12
Mean = 222/12
Mean = 18.5
b. Median = (14 + 18)/2 = 16
c. Eliminating 42, we would have:
Mean = (12 + 14 + 22 + 14 + 18 + 23 + 13 + 9 + 19 + 22 + 14)/11 = 180/11 = 16.3636
Median = 14
This means, the measure of center would reduce if we eliminate the greatest value, 42.