# Find the mean of the distribution

Class 1-3 3-5 5-7 7-10

Frequency 9 22 27 17

**Solution:**

Given, the above data represents the class and frequency.

We have to find the mean of the distribution.

Class | Frequency (f) | Midpoint x | f × x |

1 - 3 | 9 | 2 | 18 |

3 - 5 | 22 | 4 | 88 |

5 - 7 | 27 | 6 | 162 |

7 - 10 | 17 | 8.5 | 144.5 |

Total | ∑f = 75 | ∑fx = 412.5 |

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 412.5/75

= 5.5

Therefore, the mean is 5.5

**✦ Try This: **Find the mean of the distribution:

Class | 1-3 | 3-5 | 5-7 | 7-10 |

Frequency | 7 | 19 | 25 | 14 |

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 1**

## Find the mean of the distribution Class 1-3 3-5 5-7 7-10 Frequency 9 22 27 17

**Summary:**

The mean of the distribution is 5.5

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