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Here you will learn about modal class, including what it is and how to find the modal class from a grouped frequency table.
Students will first learn about modal class as part of statistics and probability in 6 th grade.
In statistics, the modal class is the class interval within a set of data that has the highest frequency. This means it contains the most number of data points.
For example, below you have a set of data showing the grades achieved by 65 students in a test.
The class interval with the most number of data points is β71 to 80β as this class interval has the highest frequency of 16 (the class interval contains 16 items of data).
You would therefore state:
The modal class is 71 to 80.
Given a bar chart, a pie chart, a stemandleaf plot, a frequency polygon, a cumulative frequency curve, or even a histogram, you can state the modal class. To do this, you will need to interpret the data from each graph.
Below is a table summarizing how to state the modal class from common types of graph / chart.
Type of chart  The modal class is… 

Tally chart
 β¦ the class interval with the most 
Bar chart
 β¦ the class interval with the highest 
Pie chart
 β¦ the class interval with the largest 
Histogram
 β¦ the class interval with the tallest bar.

How does this relate to 6 th grade math?
In order to find the modal class:
Use this worksheet to check your 6th grade studentsβ understanding of the modal class. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEUse this worksheet to check your 6th grade studentsβ understanding of the modal class. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEThe grouped frequency table shows the number of people in 80 shops in a town.
State the modal class from the following table:
The highest frequency is 26.
2Write down the modal class.
The class with the highest frequency is β18 to 21β.
The modal class is β18 to 21β.
The grouped frequency table shows the number of students in 90 elementary schools in an area.
State the modal class from the following set of data:
Look for the class interval with the highest frequency.
The highest frequency is 23.
Write down the modal class.
The associated class with the highest frequency is β100  149β.
The modal class is β100  149β.
The grouped frequency table shows the grades achieved by 100 students in their science test.
State the modal class from the results table below:
Look for the class interval with the highest frequency.
The highest frequency is 47.
Write down the modal class.
The associated class with the highest frequency is β60\le x<80β
The modal class is β60\le x<80β.
In order to find the modal class from a graph / chart, you need to:
The bar chart below shows the frequencies of pet ownership from a group of people. Each person owns one pet. State the modal class from the given data in the bar chart below.
Look for the specific feature for the mode on the graph / chart.
The category with the highest frequency is βCatβ.
Write down the modal class.
The modal class is Cat.
The points a basketball team scored in a season are recorded in a pie chart. Using the information below, determine the modal class for the set of data.
Look for the specific feature for the mode on the graph / chart.
The largest segment of the pie chart is green, which represents the points scored by the Green Goblins.
Write down the modal class.
The modal class is the Green Goblins.
The histogram below represents the distance a ball was thrown by 40 people. State the frequency of the modal class.
Look for the class interval with the highest frequency.
The class interval for a histogram with the highest frequency has the largest area (as the area of each bar is the frequency of the class).
Write down the modal class.
The modal class is 15 \leq x<20.
1. The table shows the grouped data about the scores in 35 netball matches. State the modal class interval.
13
12
20 to 29
10 to 19
The highest frequency is 13. The associated class is β10 to 19β. So the modal class is β10 to 19β.
2. The table shows the grouped data about the number of eggs laid by 50 chickens in two weeks.Β State the modal class interval.
The highest frequency is 18. The associated item is β68β. So the modal class is β68β.
3. The table shows the grouped data about the height of 100 trees in a forest. State the modal class interval.
The highest frequency is 31. The associated item is β15<h \leq 20β. So the modal class is β15<h \leq 20β.
4. The pie chart below shows the number of different types of candy in a jar. State the modal class for the pie chart.
Chocolate Discs
Gum Balls
Lollipops and Marshmallows
Lollipops
The largest segment of the circle is orange, which represents gum balls. (Angle 120^{\circ} ).
5. Data was recorded for the days of snowfall over winter in the town of Courtship from November to March. State the modal class.
December
February
January
November
The modal class has the highest frequency on the given bar chart.
The modal class is January because it has the highest bar.
6. The histogram below represents the data collected for a recent score on a road safety test.
Determine the modal class of the data.
The modal class has the largest area. The area of each class is:
The class interval with the largest area / highest frequency is 10 \leq x<20.
The standard deviation is a value that summarizes the variation around the mean. It is another measure that can be calculated from the data in frequency tables.
A frequency distribution table is a chart that summarizes values and the frequency of each of the values.
The measures of central tendency are often known as the mean, median and mode. These measures will help you find the middle, or average, of a given data set.
The class interval refers to the size of each class in which a range of a variable is divided. When finding the modal class, the smallest number in a class interval is known as the lower limit of the modal class, and the largest number is known as the higher limit of the modal class.
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