2022 · Q48
Consider the following frequency distribution for the next three (03) items that follow: The values of x are 0, 1, 2, 3, 4, 5 with corresponding frequencies 46, p, q, 25, 10, 5. The total frequency is 200 and the mean of the distribution is 1.46. What is the value of p?
Elementary MathematicsStatistics
- A70
- B72
- C76
- D78
Explanation
p+q = 200−(46+25+10+5) = 114. From the mean, (p+2q+75+40+25)/200 = 1.46, so p+2q = 152. Subtracting gives q = 38 and p = 76. The keyed option is C.