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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