MEASURES OF CENTRAL TENDENCY

CONTENT

1. Mean
2. Median
3. Mode

Mean: The average score of a given data.

Median: The score at the middle after rearranging either ascending or descending order.

Mode: The score with the highest frequency.

Examples:

1. Find the measures of central tendency of the data below.

8, 10, 13, 11, 7, 8, 2, 8, 6

Solution:

Mean: To find the mean of the data above, you may not need to rearrange. Just add up the data and divide by the total number they are.

Mean \(= \frac{8 + 10 + 13 + 11 + 7 + 8 + 2 + 8 + 6}{9} \\ = \frac{73}{9} = 8.11\)

Median:

First rearrange the data either in ascending or descending order.

Ascending order: 2, 6, 7, 8, 8, 8, 10, 11, 13

Descending order: 13, 11, 10, 8, 8, 8, 7, 6, 2

Using median position: \(= \Big(\frac{n + 1}{2}\Big)th\)

Where \(n\) is the number of data.