Question

james plays six games of darts. his scores are 120, 71, 80,14,90,117 should james use the mean or the median to give him the highest average score?​

Answer 1

Median

Explanation:

Mean

The sum of all data values divided by the total number of data values.

`\implies \textsf{Mean}=(120+71+80+14+90+117)/(6)=82`

Median

The middle value when all data values are placed in order of size.

If there are an even number of data values, the median is the mean of the middle 2 data values.

Ordered data values: 14, 71, 80, 90, 117, 120

`\implies \textsf{Median}=(80+90)/(2)=85`

Therefore, as 85 > 82, the Median gives James the highest average score.