Answer:
C) 336.
Step-by-step explanation:
We have been given that the average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
Let us find the average of our given scores.
[tex]\text{Average}=\frac{\text{Total sum of all the numbers}}{\text{ Number of items in the set}}[/tex]
[tex]\text{Average score}=\frac{420}{5}[/tex]
\[tex]\text{Average score}=84[/tex]
As median of the 5 scores is same as average of 5 scores, therefore, median of the given scores is 84.
We can find the sum of 4 scores that are not median by subtracting median score from total scores.
[tex]\text{The sum of the 4 scores that are not median}=\text{Total scores-Median}[/tex]
[tex]\text{The sum of the 4 scores that are not median}=420-84[/tex]
[tex]\text{The sum of the 4 scores that are not median}=336[/tex]
Therefore, the sum of the 4 scores that are not the median is 336 and option C is the correct choice.
