2022 · Q50
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 median of the distribution?
Elementary MathematicsStatistics
- A1
- B2
- C3
- D4
Explanation
Cumulative frequencies are 46, 122, …; the 100.5th observation (median position) falls in the x = 1 class, so the median is 1. The trap option 2 comes from taking the mean (1.46) as the median; the median depends on cumulative frequency, not the mean. The keyed option is A.