Multiple choice

Find the mean of the data given below, if following are the marks obtained by students in a class test in the mathematics subject. Marks: 10 20 30 40 50 60 Number of student 5 12 32 40 45 48

  1. $44.5$
  2. $43.846$
  3. $46.86$
  4. $44.96$
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B Correct answer
Explanation

The mean is calculated by the formula sum(f*x) / sum(f). Sum(f*x) = (10*5) + (20*12) + (30*32) + (40*40) + (50*45) + (60*48) = 50 + 240 + 960 + 1600 + 2250 + 2880 = 7980. Sum(f) = 5 + 12 + 32 + 40 + 45 + 48 = 182. Mean = 7980 / 182 = 43.846.

AI explanation

Multiply each mark by its corresponding number of students and add the products: 50 + 240 + 960 + 1600 + 2250 + 2880 equals 7980. The total number of students is 5 + 12 + 32 + 40 + 45 + 48, which equals 182. Divide the total sum of 7980 by the 182 students. The mean is 43.846.

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