CA Foundation P3 · Chapter 14 · Question 3 of 10
In a moderately skewed distribution, the mean is 42 and the median is 40. Using the empirical relationship, the mode is approximately:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 36
Explanation
Empirical relation: Mode = 3 Median − 2 Mean = 3(40) − 2(42) = 120 − 84 = 36. Reversing the coefficients (3 Mean − 2 Median = 46) is a common error.
More Measures of Central Tendency and Dispersion MCQs
- Q5For the distribution below, the mode is (to two decimals): Class: 0–10, 10–20, 20–30, 30–40, 40–50 Frequency: 5, 8, 12, 10, 5
- 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: