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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Obtain the mean of the following distribution:
Frequency Variable
4 4
8 6
14 8
11 10
3 12
Solution:
Given, the table represents the frequency distribution.
We have to find the mean of the distribution.
Mean of ungrouped data = Mean = ∑fx / ∑f
Where, f are the frequencies of x
Mean = [(4 × 4) + (8 × 6) + (14 × 8) + (11 × 10) + (3 × 12)] / (4 + 8 + 14 + 11 + 3)
= [16 + 48 + 112 + 110 + 36] / (12 + 14 + 14)
= (42 + 48 + 222) / (12 + 28)
= (90 + 222) / (40)
= 322 / 40
= 8.05
Therefore, the mean of the distribution is 8.05
✦ Try This: Obtain the mean of the following distribution:
| Frequency | Variable |
| 5 | 5 |
| 6 | 8 |
| 11 | 10 |
| 13 | 13 |
| 2 | 17 |
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14
NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 10
Obtain the mean of the following distribution: Frequency Variable 4 4 8 6 14 8 11 10 3 12
Summary:
The mean of the given distribution is 8.05
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