The frequency distribution of daily working expenditure of families in a locality is as follows: If the mode of the distribution is ₹ 140 , then the value of b is

Step-by-step solution

Frequency distribution is given as Clearly, modal class is 100-150 , as the maximum frequency occurs in this class. Given, Mode =140 We have Mode = + f₀-f_ -1 2 f₀-f_ -1 -f₁ i where aligned & =100, f₀=37, f_ -1 =33, f₁= b & i=50 aligned Thus, we get 140=100+ [ 37-33 2(37)-33-b ] 50 aligned & =100+ [ 4 74-33-b ] 50 & =100+ 200 41-b & 5740=4300+40 b b=36 aligned