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:
[tex]60,70,80,80,100[/tex]
Here the mean, [tex]\frac{Sum\ of\ all\ observations}{Number\ of all\ observations} =\frac{60+70+80+80+100}{5} =78[/tex]
Median,[tex]=80[/tex] 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 [tex]=\frac{0+60+70+80+80+100}{6} =65[/tex]
Median [tex]= \frac{70+80}{2} =75[/tex],as number of observations is even terms so we will add two middle numbers and divide it with [tex]2[/tex].
So we can conclude that the mean is having more variation than the median.
Mean shows as variation of [tex]78-65=13[/tex] where as Median shows a variation of [tex]80-75=5[/tex] only.
So our final answer is option D that is "The mean score would decrease more than the median score."
