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noname [10]
3 years ago
5

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

and is replaced with a person earning eight dollars per hour. The graph of the resulting salaries is shown in part two. How does the mean and median change from plot 1 to plot two

Mathematics
2 answers:
Mariana [72]3 years ago
8 0

Answer:

Option B Will be Ur answer mate

Step-by-step explanation:

serg [7]3 years ago
5 0

I added the plots in the attachments.

<u><em>Answer:</em></u>

The mean will decrease

The median will remain the same

<u><em>Explanation:</em></u>

<u>1- checking the mean:</u>

<u>Mean of the salaries is calculated as follows:</u>

Mean = \frac{sum-of-salaries}{number-of-employees}

<u>Now, we can note that two parameters affect the mean, let's consider each:</u>

<u>a. Number of employees:</u>

We are given that one employee is replaced with another. This means that the number of employees did not change

<u>b. Sum of salaries:</u>

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

<u>Now, for the mean:</u>

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

<u>2- checking the median:</u>

In the whisker plots, the median is represented by the vertical line inside the plot.

<u>In the first plot,</u> we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

<u>In the second plot,</u> the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

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