Multiple choice

What is the mean of the given data? Class interval 10 20 30 40 50 Frequency 8 12 20 20 15

  1. 31.23

  2. 32.93

  3. 34.52

  4. 35.63
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B Correct answer
AI explanation

To find the mean of this frequency distribution, apply the direct method formula which divides the sum of the product of values and their frequencies by the total frequency. The sum of the products is (10 times 8) plus (20 times 12) plus (30 times 20) plus (40 times 20) plus (50 times 15), equaling 80 + 240 + 600 + 800 + 750 = 2470. The total frequency is 8 + 12 + 20 + 20 + 15 = 75. Dividing 2470 by 75 yields a mean of 32.93. The result is 32.93.

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