Question 47
Measures of Central TendencyClass Interval: 1-5, 6-10, 11-15, 16-20, 21-25
Frequency: 6, 15, 20, 7, 2
Estimate the median of the frequency distribution above.
- A.10½
- B.11½
- C.12½
- D.13
Show the answer and explanation
Answer: B (11½)
Explanation
There are 50 values, so the median is the 25th. Cumulative frequencies are 6, 21, 41, … so it lies in 11–15. Median = 10.5 + (25 − 21)/20 × 5 = 11.5.