Question

Madhu worked $2\frac{1}{2}$ hours on Monday, $3\frac{1}{4}$ hrs. on Tuesday, and $2\frac{3}{4}$ hrs. on Wednesday. What is the mean number of hours she worked on these three days?

Answer 1

No. of hours Madhu worked on Monday is $2\frac{1}{2}=\frac{5}{2}.$

No. of hours Madhu worked on Tuesday is $3\frac{1}{4}=\frac{13}{4}.$

No. of hours Madhu worked on Wednesday is $2\frac{3}{4}=\frac{11}{4}.$

Therefore,

Mean no. of hours Madhu worked on these $3$ days

$\begin{array}{cc}Average& =\frac{\frac{5}{2}+\frac{13}{4}+\frac{11}{4}}{3}\\ & =\frac{\frac{10}{4}+\frac{13}{4}+\frac{11}{4}}{3}\\ & =\frac{10+13+11}{4\times 3}\\ & =\frac{34}{12}\\ & =2\frac{5}{6}\end{array}$

So, the average hours Madhu worked in these three days is $2\frac{5}{6}$ hours.