Question

Calculate the mean daily expenditure using direct method.
$\begin{array}{cc}\text{Daily Expenditure (₹)}& \text{No. of Persons}\\ 0-10& 3\\ 10-20& 2\\ 20-30& 5\\ 30-40& 8\\ 40-50& 4\\ 50-60& 6\\ 60-70& 2\end{array}$

• A. ₹36.3
• B. ₹39.4
• C. ₹40.3
• D. ₹42.8

Answer 1

The correct option is A ₹36.3

$\begin{array}{cccc}\text{Daily}& \text{Class Mark}& \text{No. of Persons}& f_i{x}_i\\ Expenditure\left(₹\right)& \left(x_i\right)& \left(f_i\right)& \\ 0-10& \frac{0+10}{2}=5& 3& 15\\ 10-20& \frac{10+20}{2}=15& 2& 30\\ 20-30& \frac{20+30}{2}=25& 5& 125\\ 30-40& \frac{30+40}{2}=35& 8& 280\\ 40-50& \frac{40+50}{2}=45& 4& 180\\ 50-60& \frac{50+60}{2}=55& 6& 330\\ 60-70& \frac{60+70}{2}=65& 2& 130\\ & & \sum f_i=30& \sum f_i{x}_i=1090\end{array}$

$\therefore \text{Mean}=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{1090}{30}=₹36.3$