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In a certain company, every worker received a 5% raise. How does this affect the mean salary and the standard deviation of the salaries
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In a certain company, every worker received a 5% raise. How does this affect the mean salary and the standard deviation of the salaries
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Mathematics
3 years
2021-08-15T01:04:41+00:00
2021-08-15T01:04:41+00:00 1 Answers
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Answers ( )
Answer:
Increase by 5% ;
Remain unchanged
Step-by-step explanation:
Given that:
Raise received by all workers = 5%
Since the raise in salary cuts across all employees, then the average or mean salary will also increase by the same amount.
y = m ± c
y = new mean ; m = initial mean ; c = increase
The standard deviation on the other hand isn’t affected due to change in a constant value. That is the standard deviation of a. Constant value is Zero. Hence, the standard deviation remains unchanged.