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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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.

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.