Multiple choice

A frequency distribution table is given below: 0 1 2 3 4 5 46 p q 25 10 5 Total frequency is 200 and mean of the distribution is 1.46. What is the value of p?

  1. 70

  2. 72

  3. 76

  4. 78

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total frequency gives p + q = 114. Using the mean, p + 2q + 140 = 292, so p + 2q = 152. Subtracting the equations gives q = 38 and therefore p = 76.