Question

Use the grouped data formulas to find the indicated mean or standard deviation. The salaries of...

Use the grouped data formulas to find the indicated mean or standard deviation. The salaries of a random sample of a companyʹs employees are summarized in the frequency distribution below. Approximate the sample mean.

Salary ($)

Employees

5,001-10,000

11

10,001-15,000

10

15,001-20,000

18

20,001-25,000

18

25,001-30,000

23

A) $17,500              B) $17,550.45                         C) $19,500.50                         D) 21,450.55

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Answer #1
Class Frequency (f) Mid value (x) f⋅x
5001-10000 11 7500.5 82505.5
10001-15000 10 12500.5 125005
15001-20000 18 17500.5 315009
20001-25000 18 22500.5 405009
25001-30000 23 27500.5 632511.5
--- --- --- ---
-- n=80 -- ∑f⋅x=1560040

> I mean = n

=1560040/80

=19500.5

option C is true

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