Finding the mean of ungrouped data is a common measure of central tendency in statistics. Ungrouped data are without intervals.

In this lesson, you will learn the formula and the step-by-step method for finding the mean of ungrouped data.

## Formula for finding the mean of ungrouped data

The formula for finding the mean of ungrouped data is the addition of the numbers divided by their total.

\frac{N+N+N...}{n}

**Where**:

- N = each given number
- n = total

## Question on finding the mean of ungrouped data

Let’s take an example:

Question:Find the mean of the following set of numbers

15, 11, 8, 3, 13, 8, 5

## STEP 1.

### Add the numbers together

Addition:15 + 11 + 8 + 3 + 13 + 8 + 5

=

63

## STEP 2.

### Count the numbers

15 … (number 1)

11 … (number 2)

8 … (number 3)

3 … (number 4)

13 … (number 5)

8 … (number 6)

5 … (number 7)

Therefore,

There are seven (7) numbers in the given data.

## STEP 3.

### Transfer your answer in STEP 1 and STEP 2 into the formula

\frac{63}{7}=9

## Final answer

The mean of the following set of numbers:

15, 11, 8, 3, 13, 8, 5

=

9

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