CA Foundation P3 · Chapter 14 · Question 1 of 10
A student scores 60, 75 and 80 in three papers carrying weights 2, 3 and 5 respectively. The weighted mean score is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 74.5
Explanation
Weighted mean = Σwx/Σw = (2 x 60 + 3 x 75 + 5 x 80)/(2 + 3 + 5) = (120 + 225 + 400)/10 = 745/10 = 74.5. The simple mean (60 + 75 + 80)/3 = 71.67 ignores the weights.
More Measures of Central Tendency and Dispersion MCQs
- Q3In a moderately skewed distribution, the mean is 42 and the median is 40. Using the empirical relationship, the mode is approximately:
- Q4For 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
- 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):