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# STATISTICS – MEAN

CONTENT

1. Mean (listed and tabulated data values)
2. Median
3. Mode of a Given Set of Data

## Determining the Mean of a Given Set of Data

The mean sometimes called the arithmetic mean is the most common average.

If there are n numbers in a set, then

Mean = $$\frac{\text{sum of numbers in a set}}{n}$$

When the set of data is tabulated, we use the formula: $$\frac{Ʃfx}{Ʃf}$$

Example 1:

In a class test, a student had the following marks:

$$13, 17, 18, 8, 10$$. What is the average mark?

Solution:

Average (mean) $$= \frac{\text{sum of numbers in a set}}{n}$$

$$= \frac{13 + 17 + 18 + 8 + 10}{5}$$

$$= \frac{66}{5}$$

$$= 13.2$$

Example 2: A hockey team has played eight games and has a mean score of $$3.5$$ goals per game. How many goals has the team scored?

Solution:

Mean score $$= \frac{\text{number of goals}}{\text{number of games}}$$

$$3.5 = \frac{\text{number of goals}}{8}$$

Multiply both sides by $$8$$

$$3.5 × 8 =$$ total number of goals

$$28 =$$ total number of goals

## Median

Median simply refers to the middle item when the set of data is arranged in the right order.

Lesson tags: JSS1 Mathematics, JSS1 Mathematics Evaluation Questions, JSS1 Mathematics Evaluation Questions Third Term, JSS1 Mathematics Objective Questions, JSS1 Mathematics Objective Questions Third Term, JSS1 Mathematics Third Term, Mathematics Lesson Notes, Mathematics Objective Questions
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