Question

The monthly salary of 30 workers in a factory ar given below-
5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000.
From the data find the mean of monthly salary.

Answer 1

Hint: The mean or the average of a set of values is defined as the sum of those values divided by the number of values under consideration. Mathematically, it can be written as-
$\bar {X} = \dfrac{{sum\;of\;values}}{{total\;number\;of\;values}}$

Complete step-by-step answer:
The sum of values are given by-
5000+ 7000+ 3000+ 4000+ 4000+ 3000+ 3000+ 3000+ 8000+ 4000+ 4000+ 9000+ 3000+ 5000+ 5000+ 4000+ 4000+ 3000+ 5000+ 5000+ 6000+ 8000+ 3000+ 3000+ 6000+ 7000+ 7000+ 6000+ 6000+ 4000 = 147000

The mean can be obtained by the total number of values, which is 30. So the mean is-
$\dfrac{{147000}}{{30}} = 4900$
This is the required answer.

Note: When the number of values are very large, it may become a bit troublesome to add so many values, increasing the chances of error. So, we can arrange the numbers in ascending order to make it easier.