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Q.

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

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a

2 \frac{6}{5}

b

3 \frac{5}{6}

c

2 \frac{5}{6}

d

3 \frac{7}{6}

answer is C.

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Detailed Solution

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
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}

So, the average hours Madhu worked in these three days

= 2 \frac{5}{6}

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