Question

The salaries of 235 nurses were recorded and analyzed. The analyst later found that the highest salary was incorrectly recorded as 10 times the actual amount. After the error was corrected, the report showed that the corrected value was still higher than any other salary. Which sample statistic must have changed after the correction was made? mean median (know it is not this) mode minimum

Answer 1

Answer: MEAN

Solution: The sample statistic that must have changed after the correction was made is mean. Because mean is based on all the observation in the data. So changing any value in the data will impact mean.

Changing the highest salary in the data will have no impact on median because median lies at the center of data.

Changing the highest salary in the data will have no impact on mode because mode is the most frequently occurring value in the data.

Changing the highest salary in the data will have no impact on minimum because minimum is the smallest value in the data.

Hence the only statistic which will change is mean.

Answer 2

The correct answer is A. Mean

Step-by-step explanation:

In the analysis of numerical data, means refers to the average value. This is found by adding all the values, in this case, all the salaries and then dividing the total by the total of values, in this case, 235. This sample statistic is affected by each of the values that are added, due to this, if a value changes or was corrected, the mean needs to be revised. Also, this does not occur in the case of the minimum (lowest value), the median (value in the middle), or in the mode (most frequent value.)