If every teacher was to see their salary increase by $1,000 then the mean will also increase by $1,000 because each data value in the set increased by $1,000 but the number of teachers did not.

The Median will also increase by 1,000 because with all the values increasing by the same number, the middle position will still be the same but will have increased by $1,000.

b. The Extremes and the Quartiles will increase by $1,000

Quartiles like medians are simply positions occupied by a number in the data set. If all values increase by the same amount, the numbers occupying the quartile positions will increase by $1,000 as well. The same goes for the extremes.

Standard deviation will remain the same.

Standard deviation measures the dispersion around the mean. If the both the mean and the data values increase by the same amount, the dispersion will remain the same as the increases will cancel each other out.

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4 years ago