Multiple choice

The weights of $40$ students of class VIII are given below : Weight (kg) $38$ $40$ $41$ $43$ $45$ $48$ No. of students $3$ $ 8$ $ 9$ $7$ $6$ $7$ Find the mean weight.

  1. $40.75$ kg
  2. $41.75$ kg
  3. $42.75$ kg
  4. $43.75$ kg
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C Correct answer
Explanation

Mean = Sum(f * x) / Sum(f). Sum(f*x) = (38*3) + (40*8) + (41*9) + (43*7) + (45*6) + (48*7) = 114 + 320 + 369 + 301 + 270 + 336 = 1710. Mean = 1710 / 40 = 42.75.

AI explanation

The mean weight is found by dividing the sum of the weights multiplied by their respective frequencies by the total number of students. The total number of students is 40, and the sum of the products is 1710. Dividing 1710 by 40 gives a mean weight of 42.75 kg.

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