Question

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?

* Please explain how you found the answer *

a) 315
b) 320
c) 336
d) 350
e) 360

Answer 1

336

Explanation:

420/5 equals 84.

84 times 4 is 336

y 84 times 4, because we take away the median and multiply.

Answer 2

C) 336.

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}=(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.