Question

A distribution is negatively skewed. Which is the most probable order for the three measures of central tendency

Answer 1

Options :

a mean - 40, median - 50, mode - 60

b. mean-60, median - 50, mode - 40

c. mean - 40, median-60, mode - 50

d. mean - 50, median - 50, mode - 50

Answer: mean - 40, median - 50, mode - 60

Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.

Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.

That is : mean < median < mode