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A day full of math games & activities. Find one near you.
Calculate the mean of the following data
Class 4-7 8-11 12-15 16-19
Frequency 5 4 9 10
Solution:
Given, the above data gives the class and frequency.
We have to find the mean of the data.
Class | Frequency (f) | Midpoint x | f × x |
4 - 7 | 5 | 5.5 | 27.5 |
8 - 11 | 4 | 9.5 | 38 |
12 - 15 | 9 | 13.5 | 121.5 |
16 - 19 | 10 | 17.5 | 175 |
Total | ∑f = 28 | ∑fx = 362 |
By direct method,
Mean = ∑fx / ∑f
From the table,
Mean = 362/28
= 12.928
Therefore, the mean is 12.928
✦ Try This: Calculate the mean of the following data:
Class | 4-7 | 8-11 | 12-15 | 16-19 |
Frequency | 4 | 6 | 7 | 11 |
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 3
Calculate the mean of the following data Class 4-7 8-11 12-15 16-19 Frequency 5 4 9 10
Summary:
In statistics, the mean for a given set of observations is equal to the sum of all the values of a collection of data divided by the total number of values in the data. The mean of the given distribution is 12.928
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