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

17

  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

18

19

Alternatively;

Large quantities are handeled in the frequency table

For example;

FREQUENCY TABLE

20

21

  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
23

24

25

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

27

26

28

29

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

30

31

32

33

34

35

36

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

1

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

2

3

4

5

6

7

8

9

10

ASSIGNMENT : AVERAGES ASSIGNMENT MARKS : 20  DURATION : 2 hours

 

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