Mean, Median, Mode, and Range

The highest value is 56.13, while the lowest value is 9.25. The range is just the difference between them. I must organize the numbers from lowest to highest, and identify the “middle” value. I rounded off the final answer to the nearest whole number because all the numbers in the set are also whole numbers. To be more specific, I rounded off the mean to the nearest “ones” place or digit. Here we have two classes taking Algebra 1 and the ages of the students in each class.

The median is the middle of the set of numbers. The median identifies the midpoint or middle value of a set of numbers. Set the data in order from lowest to highest and find the middle number.

Estimating the Mean from Grouped Data

Add the numbers and divide by how many numbers there are. Leroy needs to score 78% on his next quiz in order to get a quiz average of 80%.

To find the variance in a data set, subtract each number from the mean, and then square the result. Find the average of these squared differences, and that is the variance in the group. In our original group of five servers, the mean was 99. The 100 W-server varies from the mean by 1 W, the 105 W-server by 6 W, and so on. The squares of each difference equal 1, 1, 36, 81 and 9.

Calculate Mean, Median, Mode, and Range

Lisa needs to score 92% on this single exam that’s counted as three test grades to achieve an overall exam of 90%. For the mode, find the elements of the set that appears more often.

What does a range of 0 mean?

If there is a 0 in the data, it does not matter unless it is the lowest or highest number, in which case it will be used to calculate the range. In your example, the range would be 9 because 9 is the highest number and 0 is the lowest.

Your order will be automatically rearranged in ascending order. In statistics, that single value is called the central tendency and mean, median and mode are all ways to describe it. To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often. Range, which is the difference between the largest and smallest value in the data set, describes how well the central tendency represents the data. If the range is large, the central tendency is not as representative of the data as it would be if the range was small.

SPSS Mean Median Mode: Steps

In different ways they each tell us what value in a data set is typical or representative of the data set. Understanding the definition of mean, median, mode and range is important for IT professionals in data center management. Finding the mean, median, mode and range is only the start. The last measure of central tendency is the range. The range is the difference between the highest and lowest values. Simply put, find the largest and smallest numbers and then subtract them.

Mean, Median, Mode, and Range

This means that majority of the team members is 21 years old or younger. Find the value that is located directly in the middle of the set. Try it now It only takes a few minutes to setup and you can cancel any time. Danielle is a certified secondary mathematics, technology, and special education teacher. She holds a BFA in graphic design and Masters degrees in Education, Special Education, and Administration.


The value of 36 might be an outlier data point. In the example set, the value 25 occurs twice. Since this set of numbers has seven values, the median or value in the center is 24. Divide by the number of data points in the set.

You can see that the value 56 is significantly larger than the other values. Compared to the other yards that the Ducks gained, 56 yards was much greater than their other gains. Median is the number in the middle of a data set with an equal number of values higher and lower than it. The following is an example of how the Mean, Median, Mode, and Range can all be drawn from the same data set. The mode is the number that occurs the most in the data set.

Step 03: Find the Mode

The last remaining measure of central tendency that you must find is the range, which is the difference between the largest number and the smallest number. Remember that the median represents the middle value of a data set. Just like in example 01, you can find the mode of a data set by determining which value is the most common. You can find this value by looking for numbers that repeat.

How do I calculate mode?

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

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