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The frequency distribution of daily working expenditure of families in a locality is as follows: Expenditure in ₹ (x): 0-50, 50-100, 100-150, 150-200, 200-250 No. of families (f): 24, 33, 37, b, 25 If the mode of the distribution is Rs. 140, then the value of b is
- 34
- 31
- 26
- 36
Correct answer: 36
Solution
The mode of a frequency distribution is the class with the highest frequency, and since the mode is given as Rs. 140, it falls within the 100-150 range. To maintain this as the modal class, the frequency for the 100-150 range must be greater than the frequencies of the adjacent classes, which leads to the conclusion that b must be 36 to satisfy this condition.
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