Mean Median Mode Calculator

Mean is the  average value of set of numbers. Mean is calculated by dividing the sum of elements by total number of elements.The median of a set of numbers is a middle value of a set of numbers after the arrangement of ascending or descending order. If the total number of elements in a set is even then find the two middle numbers (n and n+1) after the arrangement of the numbers and find the average of two numbers which is the required median. Mode is the number which is repeated frequently in the set of numbers.

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Mean Median Mode Calculator – Example Problems

Mean, Median, Mode - Calculator

Steps to find the mean and median using calculator are:

Step 1: Enter all the numbers separated by comma ","

Step 2: Click the button calculate

Step 3: Result will be display in below boxes (total numbers, mean, median, mode).

If you want to find the mean and median for another set of numbers click the clear form button and enter the data.


Example 1: In a class nine students’ marks as follows 63, 45, 86, 27, 26, 86, 65, 8, and 47. Find mean, median, and mode.

Solution:

Arrange the set of numbers in ascending order {8, 26, 27, 45, 47, 63, 65, 86, 86}

Mean:

Mean = (Sum of elements in a set)/(Total number of elements in a set)

= (8 + 26 + 27 + 45 + 47 + 63 + 65 + 86 + 86) / 9

= 453/9 = 5.33

Therefore mean of a given set of students’ mark is 50.33.

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Median:

Median = The middle value of the set of numbers after the arrangement.

{8, 26, 27, 45, 47, 63, 65, 86, 86}

Here 62 is the middle number, therefore median is 47.

Mode:

Mode = The number repeated frequently in the set of numbers.

{8, 26, 27, 45, 47, 63, 65, 86, 86}

Here 86 is repeated twice, therefore 86 is the mode of given set of numbers.

Example 2: In a class ten students’ weights as follows 55, 56, 82, 48, 64, 65, 73, 90, 73, and 74. Find mean, median, and mode.

Solution:

Arrange the set of numbers in ascending order {48, 55, 56, 64, 65, 73, 73, 74, 82, 90}

Mean:

Mean = (Sum of elements in a set)/(Total number of elements in a set)

= (48 + 55 + 56 + 64 + 65 + 73 + 73 + 74 + 82 + 90) / 10

= 680/10 = 68

Therefore mean of a given set of students’ weights is 68.

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Median:

Median = The middle value of the set of numbers after the arrangement.

{48, 55, 56, 64, 65, 73, 73, 74, 82, 90}

Total number of elements in a set is 10 which is even. So find the average of two middle numbers 72 and 73.

(65 + 73)/2 = 69

Therefore median of given set of students weights is 69.

Mode:

Mode = The number repeated frequently in the set of numbers.

{48, 55, 56, 64, 65, 73, 73, 74, 82, 90}

Here 73 is repeated twice; therefore 73 is the mode.
Mean Median Mode Calculator – Practice Problems

Problem 1: Eleven students’ marks as follows 59, 57, 67, 56, 57, 77, 82, 38, 58, 59, and 67. Find the mean, median and mode.

Problem 2: Find the mean, median and median for the following set of numbers; 53, 54, 65, 85, 59, 65, 68, and 51.

Answer: 1) Mean: 61.54, Median: 59, Mode: (57, 59, 67) 2) Mean: 62.5, Median: 62, Mode: 65