# KS3 and KS4 Mean, Median and Mode Worksheets

Maths Worksheets / Statistics Worksheets / KS3 and KS4 Mean, Median and Mode Worksheets

Our mean, median and mode worksheets are designed to help students understand how to calculate all the different types of averages. Our clearly presented mean, median and mode worksheets cover estimating the mean, comparing data sets as well plenty of questions to help them calculate the mean, median, mode and range.

Students can also practice calculating averages from frequency tables and from grouped data with our mean, median and mode worksheets. All of our resources at Cazoom Maths will help your pupil or child learn to calculate the mean, mode, median and range with ease.

Level | GCSE Grade | Preview | Worksheets | Answers | ||
---|---|---|---|---|---|---|

The Median and Range | ||||||

The Mode and Range | ||||||

The Mean (A) | ||||||

Mean, Median, Mode and Range (A) | ||||||

Choosing the Best Average | ||||||

The Mean (B) | ||||||

Mean, Median, Mode and Range (B) | ||||||

Averages from Frequency Tables | ||||||

Comparing Two Sets of Data | ||||||

Estimate of the Mean | ||||||

Averages from Grouped Data |

## Comparing Data Sets Worksheets

We offer a huge range of worksheets to help your pupil or child master the mean, median and mode.

All of our mean, median and mode worksheets are easy to follow and make the topic engaging for students. Our worksheets with answers are aimed at students of all abilities to help them succeed at calculating averages from frequency tables or grouped data and achieve above average grades!

### The Importance of the Mean, Median and Mode in Everyday Life

Mean, median and mode are all types of average. Whenever any piece of data is being handled, it is likely that at least one type of average will be calculated.

Scientists and other researchers usually calculate the mean of their set of data. For example, if someone wants to know the average age of a town, the mean will give a more representative average than the median or the mode. The mean can often be skewed by the influence of outliers, so if there are many anomalies in a data set, the median makes a more reliable way of interpreting the data.

### An Excellent Resource to Support Children’s Learning

In school, children learn not just about how to calculate the mean, median and mode, but how to use it in their everyday lives.

Mastering data analysis skills such as calculating the mean, median and mode will help children in their science classes, and knowing when to use each type of average will be useful if they ever conduct a survey on any topic. Using mean, median and mode worksheets will help children master this essential skill and prepare them for the future. Maths worksheets provide an excellent resource for both teachers and parents to support children’s learning.

## How do You Find the Mean of a Set of Numbers?

The mean mode is also often referred to as the average of a set of numbers. This is the most often used measure of central tendency within a set of numbers. Calculating the mean of a set of numbers by following a fairly simple process. The process is carried out by adding up all of the numbers in a set of data. The total of those numbers is then divided by however many numbers were added up. The answer is the average, which can be beneficial in a variety of settings. This is one of the best areas to connect to real life so students will find the work more relevant.

Students might want to calculate the average score they have earned on a set of spelling or maths tests during the school year. They also might want to use this statistical category to measure progress on a task. Students could go for a 3-kilometer run three times per week and keep track of how long that takes. They could then calculate an average time for each week and see how that average progresses from week to week. One of the best ways to help students learn how to figure out the mean of a set of numbers is to use something that is connected to their lives. They will be more invested in the work, and more motivated to find the answer.

## How do You Find the Median of a Set of Numbers?

The median is the middle number in a set of data. You find the median of a set of numbers by putting all of the numbers in order from least to greatest. Numbers can then be crossed out starting with the lowest, then the highest, then the lowest and so on. As numbers are crossed off, you will be left with one number in the middle. That number is the median. This measure of central tendency is another way to get an idea of what the average of the set of data is. One of the best things about finding the median as compared to the mean is that the median will throw out any outlier numbers in the calculation. Those same outlier numbers are factored in when calculating the mean.

Students may find it helpful to calculate the median score for their spelling or maths tests to see how it compares to the mean. If a student has had a few really good, or really bad scores, the median will give a more accurate picture of how they are actually doing in a particular class.

## How do You Find the Mode of a Set of Numbers?

You find the mode of a set of numbers by simply looking at which number within the set occurs the most often. For there to be a mode, a number has to occur more than once. That means it is possible for a set of numbers to have no mode, or to have more than one mode. If there were three 4’s and three 5’s in a set of numbers, and no other number occurred more than three times, there would be two different modes. The mode is a useful number to look at when trying to find trends within a group. If a student wants to know how many books classmates read during a certain month, looking at the mode of that set of numbers would be a quick way to see what is typical for the class.

Students can also use the mode to quickly make decisions based on what others around them are doing. A question about what movie classmates are going to, or which video game they are playing at home would quickly reveal a mode. That could help students decide what movies to see or what games to play based on their popularity.

The Laerd Statistics Group states, “The mean, median and mode are all valid measures of central tendency, but under different conditions, some measures of central tendency become more appropriate to use than others.” This is why it is vital for students to know and understand how to calculate each of these three measures. Knowing how to calculate each one will help students to understand when each measure is most appropriate as well.