Question

Sam's test scores are History $76$, Geography $74$, Math $92$, English $81$ and Chemistry $80$. If the average (arithmetic mean) score is $M$ and the median score is $m$, what is the value of $M-m$?

• A. 0.4
• B. 0.5
• C. 0.6
• D. 0.8

Answer 1

Answer: (C)

0.6

Score in History $76$, Geography $74$, Math $92$, English $81$, Chemistry $80$

$\therefore$ average Sore $M=$ $\frac{76+74+92+81+81}{5}=\frac{403}{5}=80.6$

Score $=74,76,80,81,92$

$\therefore$ Median $\left(m\right)=80$

$\Rightarrow M-m=80-80.6=0.6$