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

Answer 1

= `(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 5^th value and 6^th value

= `(7000 + 7000)/2`

∴ Median = 7000

Mode: 7000 repeated 5 times

∴ Mode = 7000