the weekly salaries in dollars for 7 employees of a small business are given. 653,667,780,872,885,954suppose that $653 salary changes to $695.what happens to the mean?what happens to the median?

Question
Answer:
The question says there are 7 employees and there are only 6 salaries. Is there one number missing? I'll continue with 6 numbers, but if there are 7 listed in the question, then my answers will be wrong.

Mean is the average of a given set of numbers. Find the median by adding all numbers in the set & dividing by the quantity of numbers in the set.

Median is the middle number of a given set of numbers. Put list in chronological order and take the center number. In a case of even numbers, average the two center numbers.

CURRENT MEAN (Average)
653 + 667 + 780 + 872 + 885 + 954=
4811

4811 Γ· 6 employees= 801.83


CURRENT MEAN (Middle #)
Since there are 6 numbers, find the average of the two middle numbers

653 667 780 872 885 954

780 + 872= 1652 Γ· 2= 826


NEW MEAN
695 + 667 + 780 + 872 + 885 + 954=
4853

4853 Γ· 6= 808.83


NEW MEDIAN
667 695 780 872 885 954

780 + 872= 1652 Γ· 2= 826
No change in median


ANSWER: The mean goes from 801.83 up to 808.83. The median remains the same at 826.

Hope this helps! :)
solved
general 6 months ago 6054