In a small unit of a factory where there are 10 employees - a manager, a supervisor and 8 laborers. The laborers draw a salary of Rs.4500 each. The supervisor draws a salary of Rs.8000 while the manager gets Rs.15000. Calculate the mean, median and mode of the salaries of this unit of the factory.

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Mean = Rs.7500, Median = Rs.6500, Mode = Rs.6500

Mean = Rs.6500, Median = Rs.6500, Mode = Rs.6500

Mean = Rs.8500, Median = Rs.6500, Mode = Rs.6500

Mean = Rs.7500, Median = Rs.7500, Mode = Rs.6500

answer is A.

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Detailed Solution

It is given that the laborers draw a salary of Rs.4500 each.
The supervisor draws a salary of Rs.8000 while the manager gets Rs.15000.
We have to find the mean, median, mode.
Mean of the data is given by,

x ¯ = f 1 x 1 + f 2 x 2 + .... + f n x n ∑ i = 1 n f i

Substitute the known values within the formula,

= 15000 + 8000 + 8 (6500) 10 = 7500010 = R s .7500

Median is the middle value of the data, when numbers are arranged in ascending or descending order.
The ascending order of salaries are 6500, 6500, 6500, 6500, 6500, 6500, 6500, 6500, 8000, 15000.
Here, n = 10.
If