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.
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