In a positively skewed distribution, which among the following would be true? Choose the correct answer from the options given below.

1.Mean is greater than Mode

2.Mode is greater than Median

3.Mean is greater than Median

4.Mode is greater than Mean

5.Median is greater than Mean

A2 and 4 only

B1 and 3 only ✓ Correct

C1 and 2 only

D4 and 5 only

Correct answer: (B) 1 and 3 only

Explanation

In a positively skewed distribution the order runs mean greater than median greater than mode, so mean exceeds mode and mean exceeds median.

Statement 1 mean greater than mode holds because the long right tail pulls the mean upward the most.

Statement 3 mean greater than median holds for the same reason, placing the mean farthest right.

Statement 2 mode greater than median is false since the mode sits lowest here.

Statement 4 mode greater than mean and statement 5 median greater than mean reverse the true positive-skew order.

In a negatively skewed distribution the order inverts to mode greater than median greater than mean.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.