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
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 |
=1560040/80
=19500.5
option C is true
Use the grouped data formulas to find the indicated mean or standard deviation. The salaries of...
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