Question

In 1980 a college paid its 52 instructors a mean salary of Rs.13, 200, its 96 assistant professors a mean salary of Rs.55, 800, its 67 associate professors a mean salary of Rs.88, 900, and its 35 full professors a mean salary of Rs.123, 500. What was the mean salary paid to all the teaching staff of this college?
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Answer 1

Given : In 1980 a college paid its 52 instructors a mean salary of Rs.13, 200, its 96 assistant professors a mean salary of Rs.55, 800,

its 67 associate professors a mean salary of Rs.88, 900, and

its 35 full professors a mean salary of Rs.123, 500.

To Find : What was the mean salary paid to all the teaching staff of this college?

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Solution:

Mean  = ∑fx/∑f

∑fx  = 52 * 13200 + 96 * 55800 + 67 * 88900 + 35 * 123500

=>  ∑fx  = 1,63,22,000

∑f  = 52 + 96 + 67 + 35   = 250

Mean Salary =  1,63,22,000 / 250

= 65,288

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