The frequency distribution of daily working expenditure of families in a locality is as follows: If the mode of the distribution is Rs.140, then the value of b is
Solutions · 1
Official solution
Modal class is 100--150 (maximum frequency class). Using Mode=l+2f0−f−1−f1f0−f−1×i, with l=100, f0=37, f−1=33, f1=b, i=50:
\[140 = 100+\frac{4}{74-33-b}\times50 \implies 40 = \frac{200}{41-b} \implies 41-b=5 \implies b=36\]