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. o i only o ii only o iii only o i and ii o ii and iii question help: message instructor submit question

Explanation:

Step1: Analyze skewness

In a right - skewed distribution, the tail on the right side is longer. In the boxplot, if the right - hand whisker is longer than the left - hand whisker and the median is closer to the lower quartile, it indicates right - skewness. Here, the right - hand whisker is longer, so statement I is true.

Step2: Calculate interquartile range

The interquartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$). If we assume $Q_1$ is around 10 and $Q_3$ is around 18, then $IQR=Q_3 - Q_1=18 - 10 = 8$. So statement II is true.

Step3: Identify median

The median is the line inside the box. From the boxplot, the median is around 10. So statement III is true.

Answer:

All of the statements (I, II, and III) are true, so the answer is I and II and III.