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A day full of math games & activities. Find one near you.
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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