Question

The mode of the given data
$\begin{array}{cc}\text{Wages(in Rs.)}& \text{No. of workers}\\ 0-5& 3\\ 5-10& 7\\ 10-15& 15\\ 15-20& 30\\ 20-25& 20\\ 25-30& 10\\ 30-35& 5\end{array}$
is

• A. $12$
• B. $15$
• C. $18$
• D. $20$

Answer 1

The correct option is C $18$

Using the formula
Mode, $M_o=L+\frac{f_1-f_0}{2f_1-f_0-f_2}\times h$
Lower limit of modal class $=L=15$
Frequency of modal class $=f_1=30$
Frequency of class preceding modal class $=f_0=15$
Frequency of class succeeding modal class $=f_2=20$
Size of class interval $=h=5$
Substituting the values, we get
$M_o=15+\frac{30-15}{2\times 30-15-20}\times 5$
$=15+3$
$=18$
Thus mode is $18$.