CA Foundation P3 · Chapter 14 · Question 4 of 10
For the distribution below, the median is (to two decimals): Class: 0–10, 10–20, 20–30, 30–40, 40–50 Frequency: 5, 8, 12, 10, 5
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 25.83
Explanation
N = 40, so N/2 = 20. Cumulative frequencies are 5, 13, 25, 35, 40, so the median class is 20–30 with L = 20, cf = 13, f = 12, h = 10. Median = L + [(N/2 − cf)/f] x h = 20 + (7/12) x 10 = 20 + 5.833 = 25.83. 26.67 is the mode of this distribution.
More Measures of Central Tendency and Dispersion MCQs
- Q6The largest and smallest values of a data set are 80 and 20. The coefficient of range is:
- Q7The standard deviation of the observations 2, 4, 6, 8, 10, taking them as the whole population (divisor n), is (to two decimals):
- Q8A distribution has mean 50 and standard deviation 8. The coefficient of variation is:
- Q9The standard deviation of x is 5. If y = 3 − 2x, the standard deviation of y is:
- Q10Group I has 40 items with mean 50 and SD 6. Group II has 60 items with mean 60 and SD 8. The combined standard deviation is (to two…