The weight in kilograms of 60 workers in a factory are given in the following frequency table. Find the mean weight of a worker. Weight606162636465No. of workers581416107Class: 10

# The weight in kilograms of 60 workers in a factory are given in the following frequency table. Find the mean weight of a worker. Weight606162636465No. of workers581416107Class: 10

1. A
60
2. B
62.15
3. C
63
4. D
64

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### Solution:

Given,

 Weight(kg) 60 61 62 63 64 65 No. of workers 5 8 14 16 10 7
we know, mean for frequency table is given by
$\mathit{mean}=\frac{{w}_{1}×{n}_{1}+{w}_{2}×{n}_{2}+{w}_{3}×{n}_{3}+{w}_{4}×{n}_{4}+{w}_{5}×{n}_{5}+{w}_{6}×{n}_{6}}{{n}_{1}+{n}_{2}+{n}_{3}+{n}_{4}+{n}_{5}+{n}_{6}}$
Putting the values, we get
mean=

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