Finding The Mean Of Ungrouped Data

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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