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# Calculate the Mean, Median and Mode of the following data: 5, 10, 10, 12, 13. Are these three equal ?

**Solution:**

Given, the data is 5, 10, 10, 12, 13

We have to find the mean, median and mode of the given __data__.

We know, __mean__ = sum of all observations / number of observations

Sum of observations = 5 + 10 + 10 + 12 + 13

= 25 + 25

= 50

Number of observations = 5

Mean = 50/5 = 10

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

The data in __ascending order__ is 5, 10, 10, 12, 13

If n is odd, then median = (n + 1)/2 th term

Median = (5 + 1)/2 th term

= 6/2 th term

= 3rd term

Median = 3rd term

So, median = 10

__Mode__ is the observation that occurs most frequently in the data.

5, 12, 13 occurs one time

10 occurs two times

So, mode = 10

Therefore, the mean, median and mode is 10, 10, 10.

We observe that all the three values are equal.

**✦ Try This: **Find the mean of the first ten even whole numbers.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 3

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 50**

## Calculate the Mean, Median and Mode of the following data: 5, 10, 10, 12, 13. Are these three equal

**Summary:**

The Mean, Median and Mode of the following data: 5, 10, 10, 12, 13 is 10, 10, 10. The three values are equal.

**☛ Related Questions:**

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