Q:

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

Accepted Solution

A:
Answer:Both the mean and the median
Step-by-step 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, 97Average of 3rd and 4th is the Median = $$\frac{80+88}{2}=\frac{168}{2}=84$$
Mean:Mean is the sum of all the number divided by the number of numbers (6).So we have:Mean = $$\frac{88+73+97+76+90+80}{6}=\frac{504}{6}=84$$Mean is 84
Since Mean and Median are both same (84%), both will be best measure of center for Ari.