# 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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