Question

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores. 88%, 73%, 97%, 76%, 90%, 80% which measure of center would best represent ari's grade? the mean the median both the mean and the median neither the mean nor the median

Answer 1

both the mean and the median

Answer 2

Both the mean and the median

Explanation:

Whichever measure, mean or median, is higher, Ari will benefit from that.

Median:

Median is the "middle value" of the list when arranged from least to greatest.

Since there is 6 numbers, the middle number is between the 3rd and 4th number. Hence, we take the average of the 3rd and 4th number.

Arranged from least to greatest: 73, 76, 80, 88, 90, 97

Average of 3rd and 4th is the Median =
`(80+88)/(2)=(168)/(2)=84`

Mean:

Mean is the sum of all the number divided by the number of numbers (6).

So we have:

Mean =
`(88+73+97+76+90+80)/(6)=(504)/(6)=84`

Mean is 84

Since Mean and Median are both same (84%), both will be best measure of center for Ari.