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# For the given data, calculate the mean of its median and mode. 6, 2, 5, 4, 3, 4, 4, 2, 3

**Solution:**

Given, the data is 6, 2, 5, 4, 3, 4, 4, 2, 3

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

Arranging the data in __ascending order__, we get

2, 2, 3, 3, 4, 4, 4, 5, 6

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

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

Number of observation = 9

Median = (9+1)/2 th term

= 10/2 th term

= 5th term

Median = 4

A __mode__ is defined as the value that has a higher frequency in a given set of data.

2 occurs 2 times

3 occurs 2 times

4 occurs 3 times

5, 6 occurs one time

Mode = 4

We know, mean = sum of observations / number of observations

Sum of observation = 4 + 4

= 8

Number of observation = 2

Mean = 8/2 = 4

Therefore, the required mean is 4.

**✦ Try This: **For the given data, calculate the mean of its median and mode. 5, 5, 7, 7, 8, 8, 9, 9

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

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 57**

## For the given data, calculate the mean of its median and mode. 6, 2, 5, 4, 3, 4, 4, 2, 3

**Summary:**

For the given data 6, 2, 5, 4, 3, 4, 4, 2, 3, the mean of its median and mode is 4.

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