Solution:
We are given with a set of data 60,70,80,80,100.
we have been asked to find
How would adding a score of 0 to this data affect the mean and median game score?
As we know that
The mean is the sum of total number of numbers divided by the number of numbers.
while wwe find mean by just arranging the number in increasing or decreasing order. Then choose the middle one as median if total number of data in the data set is odd, but if total number number of data in the data set id even then we find the average of middle two.
So obiviously outlier is going to have bigger impact on mean rather than median.
Since 0 is a outlier here.
The mean score will decrease more than the median.
When adding a score of 0 to this data affects the mean and median game score is ''The mean score will decrease more than the median''.
How would adding a score of 0 to this data affect the mean and median game score?
The given data consists of the values 60, 70, 80, 90, 100.
The total number of values is 5.
The mean of the given data can be calculated as,
[tex]\rm Mean = \dfrac{Sum \ of \ all \ number}{Total \ numbers}\\ \\ Mean = \dfrac{60 +70 +80 +90 +100}{5}\\ \\ Mean = \dfrac{400}{5}\\ \\ Mean = 80[/tex]
The medium of the given data can be calculated as,
[tex]\rm Median = \dfrac{90+70}{2}\\ \\ Median= \dfrac{160}{2}\\ \\ Median = 80[/tex]
Adding a score of 0.
The data consists of the values will be 0, 60, 70, 80, 90, 100.
The total number of values is six.
The mean of the given data can be calculated as,
[tex]\rm Mean = \dfrac{Sum \ of \ all \ number}{Total \ numbers}\\ \\ Mean = \dfrac{0+60 +70 +80 +90 +100}{5}\\ \\ Mean = \dfrac{400}{6}\\ \\ Mean = 66.66[/tex]
The total number of data in the data set is even then we find the average of middle two.
[tex]\rm Median = \dfrac{70+80}{2}\\\\Median= \dfrac{150}{2}\\\\Median = 75[/tex]
Hence, The mean score will decrease more than the median.
To know about Median click the link given below.
https://brainly.com/question/12582971
