Mathematics: 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. what is the sum of the 4 scores that are not the median? * explain how you found the answer * a) 315 b) 320 c) 336 d) 350 e) 360

i know rightStep-by-step explanation:the a answer is one...

The average of 5 distinct scores has the same

cofran

09.03.2022

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.

$\text{Average}=\frac{\text{Total sum of all the numbers}}{\text{ Number of items in the set}}$

$\text{Average score}=\frac{420}{5}$

\ $\text{Average score}=84$

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.

$\text{The sum of the 4 scores that are not median}=\text{Total scores-Median}$

$\text{The sum of the 4 scores that are not median}=420-84$

$\text{The sum of the 4 scores that are not median}=336$

Therefore, the sum of the 4 scores that are not the median is 336 and option C is the correct choice.

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