Topic 1: Measure of Central Tendency with Exercises

What is the measure of central tendency?

A measure of central tendency is a summary details of measurement that attempts to describe a whole set of data with a single value that represents the middle of center of its distribution.

The 3 types of measure of central tendency are:

• MODE
• MEDIAN
• MEAN

MODE

Most common occurring value in a distribution.

Example 1:

Example values: 1, 2, 3, 4, 5, 5, 5

The most common number is 5

Example 2:

Example values: 101, 101, 101, 102, 103, 104, 105,106

The most common number is 101

Example 3:

Example values: 9, 8, 4, 5, 4, 4, 3, 2, 7,1, 6

The most common number is 4.

MEDIAN

Middle value that arranged in ascending or descending order.

Example:

The median divides the distribution in half. In a distribution with and odd numbers of observations, the median is the middle value, which is 57;

51 52, 53, 54, 55, 56, 57, 58, 59

When the distribution has an even number of observations, the median value is the mean of the two middle values. In the following distribution median equals is 55.

Example 1:

Example values: 1, 3, 3, 6, 7, 8, 9

The median is 6

Example 2:

Example values: 1, 2, 3, 4, 5, 6, 8, 9

The median is 4 and 5

So, 4 +5 = 9

= 9

   2

=4.5

The answers is 4.5

Example 3:

Example values: 1, 3, 3, 5, 5, 5, 6,, 8, 9

The median is 5 and 5

So, 5 +5 = 10

= 10

   2

=5

The answers is 5

MEAN

The total sum of each value that can divide by the number of observations. 

Also known by Arithmetic average.

Example 1:

56 + 35 + 45 + 67 + 12 +24 +48 + 55+ 58 + 30

= 430

= 430

   10

= 43

Example 2:

3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20

= 88

=88

  10

= 8

Example 3:
9 + 10 + 12 + 12 + 10 + 11 + 12 + 13 + 16 + 38

= 143

=143

   10

= 14.3

Here is sample video of the measure of tendency:

-EXERCISE-
! GOOD LUCK!

1. What are the mean of 2, 4, 6, and 8?
2. What is the mode of 21, 4, 3, 0, 2, 4, 4, and 8?
3. What is the median of  4, 6, 8, 10, 12, 16, 17?