Question

which of the following statements are true about the boxplot shown here? i. the distribution is skewed right. ii. the interquartile range is about 8. iii. the median is about 10. i only ii only iii only i and ii ii and iii hint: help video ·

Explanation:

Step1: Check skewness

The box - and - whisker plot has the median closer to the lower quartile and the right - hand whisker is longer. So, the distribution is skewed right.

Step2: Calculate interquartile range

The lower quartile ($Q_1$) is around 10 and the upper quartile ($Q_3$) is around 18. The inter - quartile range (IQR) is $Q_3 - Q_1=18 - 10 = 8$.

Step3: Identify median

The median is the line inside the box. It is clearly not around 10 but closer to 14.

Answer:

D. I and II