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# The weights (in kg) of 50 wrestlers are recorded in the following table

Weight (kg) 100-110 110-120 120-130 130-140 140-150

Number of wrestlers 4 14 21 8 3

Find the mean weight of the wrestlers

**Solution:**

Given, the data represents the weights of 50 wrestlers.

We have to find the mean weight of the wrestlers.

Weight (kg) | Number of wrestlers (f) | Midpoint x | f × x |

100 - 110 | 4 | 105 | 420 |

110 - 120 | 14 | 115 | 1610 |

120 - 130 | 21 | 125 | 2625 |

130 - 140 | 8 | 135 | 1080 |

140 - 150 | 3 | 145 | 435 |

Total | ∑f = 50 | ∑fx = 6170 |

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 6170/50

= 617/5

= 123.4

Therefore, the mean is 123.4 kg

**✦ Try This: **The weights (in kg) of wrestlers are recorded in the following table:

Weight (kg) | 100-110 | 110-120 | 120-130 | 130-140 | 140-150 |

Number of wrestlers | 5 | 13 | 23 | 9 | 1 |

Find the mean weight of the wrestlers.

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 7**

## The weights (in kg) of 50 wrestlers are recorded in the following table: Weight (kg) 100-110 110-120 120-130 130-140 140-150 Number of wrestlers 4 14 21 8 3. Find the mean weight of the wrestlers

**Summary:**

The mean formula in statistics for a set is defined as the sum of the observations divided by the total number of observations. The mean weight of the 50 wrestlers is 123.4 kg

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