Question

How would adding a score of zero affect the mean and mediam game scores

Answer 1

Answer:

Here is the complete question attached with.

The mean score would decrease more than the median score.

Step-by-step explanation:

The numbers for which we have to find the mean and median are:

$60,70,80,80,100$

Here the mean, $\frac{Sum\ of\ all\ observations}{Number\ of all\ observations} =\frac{60+70+80+80+100}{5} =78$

Median,$=80$ as median is the middle term if the observations are arranged in ascending order.

Now as the question says that we have to add a zero to see its effect.

So adding a zero we have

Mean $=\frac{0+60+70+80+80+100}{6} =65$

Median $= \frac{70+80}{2} =75$,as number of observations is even terms so we will add two middle numbers and divide it with $2$.

So we can conclude that the mean is having more variation than the median.

Mean shows as variation of $78-65=13$ where as Median shows a variation of $80-75=5$ only.

So our final answer is option D that is "The mean score would decrease more than the median score."