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Mean, median and mode Grouped frequency table Addition and subtraction Multiplication and divisionHere you will learn about the mean from a frequency table, including what it is and how to calculate it. You will also learn how to find an estimate for the mean from a grouped frequency table.
Students will first learn about mean from a frequency table as part of statistics and probability in katex is not definedth grade.
Mean from a frequency table is when you find the mean average from a data set which has been organized into a frequency table. The frequency is the number of times a number or item is recorded in a data set.
To calculate the mean, find the total of the values and divide the total by the number of values. The number of values is the total frequency. This can be abbreviated to katex is not defined
You can use an extra column to help.
Mean is a measure of central tendency. It is a value that can be used to represent a set of data.
For example,
The frequency table shows the number of people living in katex is not defined apartments.
There are katex is not defined apartments with katex is not defined person living there, so calculate katex is not defined
There are katex is not defined apartments with katex is not defined people living there, so calculate katex is not defined
There are katex is not defined apartments with katex is not defined people living there, so calculate katex is not defined
There are katex is not defined apartments with katex is not defined people living there, so calculate katex is not defined
The number of values katex is not defined is the total frequency, here katex is not defined
katex is not defined
The mean is katex is not defined people.
Use this worksheet to check your grade 6 to 8 students’ understanding of mean from a frequency table. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEUse this worksheet to check your grade 6 to 8 students’ understanding of mean from a frequency table. 15 questions with answers to identify areas of strength and support!
DOWNLOAD FREEWhen the data has been grouped together and put into a grouped frequency table, you cannot find the actual mean because you only have a range of possible values.
Instead you can find an estimate for the mean using the midpoints of each group. You can add more columns to the grouped frequency table to help.
For example,
The frequency table shows the number of correct answers earned on a test by katex is not defined students.
There were katex is not defined people who answered between katex is not defined questions correctly. As you don’t know the exact number of questions that each of these people got correct, you will use the midpoint of katex is not defined questions correct.
You can find the midpoint by adding the smallest value and the largest value together and dividing by katex is not defined
katex is not defined
The estimated mean is katex is not defined questions correct.
How does this relate to katex is not definedth grade math?
In order to calculate the mean from a frequency table, you need to:
The frequency table shows the number of goals scored in katex is not defined soccer games. Find the mean number of goals.
You can add an extra column next to the frequency column to help find the subtotals.
2Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
3Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
The mean is katex is not defined goals.
The frequency table shows the number of people on katex is not defined buses. Find the mean number of people.
Multiply the number values by the frequencies.
You can add an extra column next to the frequency column to help find the subtotals.
Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
The mean is katex is not defined people.
The frequency table shows the ages, in years, of katex is not defined children in a math club. Find the mean age.
Multiply the number values by the frequencies.
You can add an extra column next to the frequency column to help find the subtotals.
Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
The mean is katex is not defined years.
In order to estimate the mean from a grouped frequency table, you need to:
The grouped frequency table shows the number of people in katex is not defined train carriages.
Estimate the mean number of people.
Find the midpoints of the groups.
You do not know the actual number of people in the groups, so use the midpoint.
Find the midpoint by adding the smallest value and the largest value together and dividing by katex is not defined Add a column for the midpoints.
Multiply midpoints by the frequencies.
You can add an extra column next to the frequency column to help find the subtotals.
Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
But remember that this is an estimate for the mean.
The estimated mean is katex is not defined people.
The grouped frequency table shows the ages of katex is not defined people in a department store.
Estimate the mean age.
Find the midpoints of the groups.
You do not know the actual ages in the groups, so use the midpoint.
Find the midpoint by adding the smallest value and the largest value together and dividing by katex is not defined Add a column for the midpoints.
Multiply midpoints by the frequencies.
You can add an extra column next to the frequency column to help find the subtotals.
Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
But remember that this is an estimate for the mean.
The estimated mean is katex is not defined marks.
The grouped frequency table shows the weight in grams of katex is not defined potatoes.
Estimate the mean weight. Round your answer to the nearest tenths.
Find the midpoints of the groups.
You do not know the actual weights in the groups, so use the midpoint.
Find the midpoint by adding the smallest value and the largest value together and dividing by katex is not defined Add a column for the midpoints.
Multiply midpoints by the frequencies.
You can add an extra column next to the frequency column to help find the subtotals.
Find the totals.
Find the total of the frequency column, katex is not defined Add up the subtotals to find the total.
Divide the total by katex is not defined
The last step is to divide the total by katex is not defined
katex is not defined
But remember that this is an estimate for the mean.
The estimated mean is katex is not defined
1. The frequency table shows the number of pets of katex is not defined students. Find the mean number of pets. Give your answer to the nearest hundredth.
You need to multiply the numbers by the frequencies and find the total. Then divide the total by katex is not defined the frequency total,
katex is not defined
2. The frequency table shows the number of puppies in katex is not defined litters. Find the mean number of puppies. Give your answer to the nearest hundredth.
You need to multiply the numbers by the frequencies and find the total. Then divide the total by katex is not defined the frequency total.
katex is not defined
3. The frequency table shows the price of a can of biscuits in katex is not defined different grocery stores. Find the mean price. Give your answer to the nearest tenth.
You need to multiply the numbers by the frequencies and find the total. Then divide the total by katex is not defined the frequency total.
katex is not defined
4. The grouped frequency table shows the number of children in katex is not defined families. Estimate the mean number of children. Give your answer to the nearest hundredth.
You need to use midpoints. Multiply the midpoints by the frequencies and find the total. Then divide the total by katex is not defined the frequency total.
katex is not defined
5. The grouped frequency table shows numbers of cars at midday in a parking lot over katex is not defined days. Estimate the mean number of cars. Give your answer to the nearest tenth.
You need to use midpoints. Multiply the midpoints by the frequencies and find the total. Then divide the total by katex is not defined the frequency total.
katex is not defined
6. The grouped frequency table shows weights of katex is not defined newborn babies. Estimate the mean weight of newborn babies. Give your answer to the nearest hundredth.
katex is not defined to katex is not defined
You need to use midpoints. Multiply the midpoints by the frequencies and find the total. Then divide the total by katex is not defined the frequency total.
katex is not defined
While a frequency table is not a type of graph, the data that is recorded within a frequency table can be used to create graphs, including box plots, histograms, stem-and-leaf plots, dot plots, and many more.
Grouped data is when the data is given in the form of class intervals, such as katex is not defined etc. Ungrouped data refers to when the data is given as individual data points or values.
Class intervals are the organized groups of the numerical data. They can have the same or different class widths, but must not overlap.
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.
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Prepare for math tests in your state with these Grade 3 to Grade 6 practice assessments for Common Core and state equivalents.
40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!