Statistical Description of DataMTP Oct 21Question 2781 of 295
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The following data relate to the incomes of 86\displaystyle 86 persons:Income | 500−999\displaystyle 500-999 | 1000−1499\displaystyle 1000-1499 | 1500−1999\displaystyle 1500-1999 | 2000−2499\displaystyle 2000-2499---|---|---|---|---Freq | 15\displaystyle 15 | 28\displaystyle 28 | 36\displaystyle 36 | 7\displaystyle 7What is the percentage of persons earning more than ₹1500\displaystyle 1500?

Options

A50\displaystyle 50
B45\displaystyle 45
C40\displaystyle 40
D60\displaystyle 60
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Correct Answer

✅ Option a — 50\displaystyle 50

All Options:

  • A50\displaystyle 50
  • B45\displaystyle 45
  • C40\displaystyle 40
  • D60\displaystyle 60

Detailed Solution & Explanation

We are given the following frequency distribution of incomes for 86\displaystyle 86 persons: - Income 500−999\displaystyle 500-999: 15\displaystyle 15 persons - Income 1000−1499\displaystyle 1000-1499: 28\displaystyle 28 persons - Income 1500−1999\displaystyle 1500-1999: 36\displaystyle 36 persons - Income 2000−2499\displaystyle 2000-2499: 7\displaystyle 7 persons To find the percentage of persons earning more than ₹1500\displaystyle 1500: 1. The classes corresponding to income more than ₹1500\displaystyle 1500 are 1500−1999\displaystyle 1500-1999 and 2000−2499\displaystyle 2000-2499. 2. Sum of frequencies for these classes = 36+7=43\displaystyle 36 + 7 = 43 persons. 3. Percentage of persons = (4386)×100=50%\displaystyle \left(\frac{43}{86}\right) \times 100 = 50\%. This corresponds to Option A. Hence, **Option A** is the correct answer.

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