# How to Find the Range from a Frequency Table (Mathematics Lesson)

# Finding the Range from a Frequency Table

We can find the range of a set of numbers presented in a frequency table.# How to Find the Range from a Frequency Table

Finding the range from a frequency table is easy.#### An Example Question

The frequency table below shows the test scores for a class of students.What is the range of the test scores?

Step 1

**Score**column are in numerical order. In our example, the entries are in numerical order.

Step 2

**Score**column (with a

**Frequency**greater than 0).

In our example, the lowest entry is 5. The lowest test score is 5.

Step 3

**Score**column (with a

**Frequency**greater than 0).

In our example, the highest entry is 10. The highest test score is 10.

Step 4

10 - 5 = 5

The range of the test scores is 5.# A Real Example of How to Find the Range

The slider below gives another example of finding the range from a frequency table.##### Interactive Test

**show**

Here's a second test on finding the range from a frequency table.

Here's a third test on finding the range from a frequency table.

##### Beware

# Make Sure the Numbers Are in Order

Make sure the numbers in the left most column are in order.**Don't forget:**The whole row, not just that in the first column, needs to be rearranged. Each number in the

**Frequency**column corresponds to the

**Number**to its left.

# Careful of 0 Frequencies

What is the range of the frequency table below?It is tempting to think that it is:

Range = 4 - 1 = 3

However, **Number**1 and 4 have a

**Frequency**of 0. That means there is actually no 1 and 4 in the set of numbers. Just ignore any row with a

**Frequency**of 0.

The true range is:

Range = 3 - 2 = 1