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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