Effect of Constant Addition on the Mean
A researcher calculated the mean salary using the data in the table. After every employee was given a $3,000 raise, the researcher attempted to find the new mean salary. Instead of correctly adding $3,000 to the original mean, the researcher mistakenly multiplied the original mean by 3,000. Which of the following describes the error in the researcher’s procedure?
Employee Salary Data
| Employee | Salary ($) |
|---|---|
| 1 | 3000 |
| 2 | 7000 |
| 3 | 15000 |
| 4 | 22000 |
| 5 | 23000 |
| 6 | 38000 |
A
He properly adjusted the mean but misinterpreted the effect of constant addition on the mean.
B
He subtracted $3000 from each salary, which would lower the overall mean.
C
He erroneously multiplied the original mean by the raise amount rather than adding $3000 to the original mean.
D
He recalculated the median instead of the mean after the salary increase.
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