CA Foundation · Quantitative Aptitude · Statistical Description of Data
A frequency distribution of daily wages (in ₹) of workers in a factory is given as: Wages (₹): 200–300, 300–400, 400–500, 500–600 Frequency: 5, 12, 18, 10 What is the median class for this wage distribution?
The median class is ₹400–500 because its cumulative frequency (35) is the first to exceed N/2 (22.5), meaning half the workers earn below this range and half above.
- A₹200–300
- B₹300–400
- C₹400–500Correct
- D₹500–600
Explanation
The median class is where the cumulative frequency first exceeds N/2. Total frequency N = 5 + 12 + 18 + 10 = 45. N/2 = 22.5. Cumulative frequencies: 5, 17, 35, 45. The cumulative frequency 35 (in class 400–500) first exceeds 22.5, making 400–500 the median class. This class contains the middle value(s) of the distribution.
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