# MTH1: AVERAGES

##### This unit dwell in average which is the sum of a list of numbers divided by the number of numbers in the list.

AVERAGES

These are measures of central tendency any set of quantities may be represented by one of its averages.

These include;

Mode

Median

Arithmetic mean

Rage

The range

This is the difference between the highest and lowest value.

Example 1. The Arithmetic mean.

This is obtained by diving the sum of the quantities by the number of quantities.

Examples.

1. If the marks obtained by 10 students in a history test out of 10 are 8,4,6,2,5,6,5,7,9,7  Alternatively;

Large quantities are handeled in the frequency table

For example;

FREQUENCY TABLE  1. Organize the information in a frequency table.

FREQUENCY TABLE

1. Mode

The modal are 5o and 52

Modal frequency is 6

1. Calculate the mean.

Mean   Finding the Arithmetic mean using the assumed mean method.

An assumed mean is obtained by inspection used to find the arithmetic mean as follow;

Example;

Given the figures below.

2,3,2,2,4,6,2

Taking the assumed mean as

Each of    For easier handling of large frequencies we use the frequency tables in the next examples.

Below are heights in cm of 30 students in 52m       The median

This is the number in the middle , when the items are written in increasing (ascending) or decreasing order.

Examples

Find the median in each of the following cases Medians 4 it was the fifth.

Height in cm of 10 girls; 160, 165, 162, 166, 167, 162, 164, 161, 162, 163.

160, 161, 162, 163, 164, 165, 166, 107         ## STEM Elearning

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