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# 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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