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Question
The monthly salary of 10 employees in a factory are given below:
₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000
Find the mean, median and mode
Solution
= `(5000 + 7000 + 5000 + 7000 + 8000 + 7000 + 7000 + 8000 + 7000 + 5000)/10`
= `(3 xx 5000 + 5 xx 7000 + 2 xx 8000)/10`
= `(15000 + 35000 + 16000)/10`
= `66000/10`
Mean = 6600
Median:
Arrange in ascending order we get.
5000, 5000, 5000, 7000, 7000, 7000, 7000, 7000, 8000, 8000
The number of values = 10
Median = Average of `(10/2)^"th"` and `(10/2 + 1)^"th"`
= Average of 5th value and 6th value
= `(7000 + 7000)/2`
∴ Median = 7000
Mode: 7000 repeated 5 times
∴ Mode = 7000
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