Multiple choice

Find the mean of the given number of marks of students. Number of marks 0 1 5 7 9 Frequency 2 3 1 3 5

  1. 7.52

  2. 6.67

  3. 5.29

  4. 4.76
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C Correct answer
Explanation

Mean = Sum(f*x) / Sum(f). Sum(f*x) = (0*2) + (1*3) + (5*1) + (7*3) + (9*5) = 0 + 3 + 5 + 21 + 45 = 74. Sum(f) = 2 + 3 + 1 + 3 + 5 = 14. Mean = 74 / 14 = 5.2857, which rounds to 5.29.

AI explanation

Using the direct mean formula, the sum of products of marks and frequency is (0 times 2) + (1 times 3) + (5 times 1) + (7 times 3) + (9 times 5), which equals 74. The total frequency is 2 + 3 + 1 + 3 + 5, or 14. Dividing 74 by 14 gives a mean of approximately 5.29.

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