Multiple choice

The mean of following distribution is $x_i$ $10$ $12$ $15$ $25$ $f_i$ $2$ $3$ $7$ $8$

  1. $18.50$
  2. $18.05$
  3. $18.15$
  4. $18.25$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Mean = sum(f*x) / sum(f). Sum(f*x) = 10*2 + 12*3 + 15*7 + 25*8 = 20 + 36 + 105 + 200 = 361. Sum(f) = 2 + 3 + 7 + 8 = 20. Mean = 361 / 20 = 18.05.

AI explanation

To find the mean of a frequency distribution, divide the sum of the products of values and their frequencies by the total frequency. The total frequency is 2 + 3 + 7 + 8 = 20, and the sum of the products is (10 times 2) + (12 times 3) + (15 times 7) + (25 times 8) = 361. Dividing 361 by 20 gives a mean of 18.05.

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