Question

observe the box - and - whisker plot. which of the following statements is not correct? the median is 21 the lower quartile is 20 the upper quartile is 35 the minimum value is 8 question 3 when a box - and whisker plot is skewed positively, which whisker will be longer? there is not enough information to tell left right both are the same size

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the left - hand side of the box represents the lower quartile ($Q_1$), the line inside the box represents the median ($Q_2$), the right - hand side of the box represents the upper quartile ($Q_3$), and the end of the left whisker represents the minimum value and the end of the right whisker represents the maximum value.

Step2: Analyze the first question

From the box - and - whisker plot, the left side of the box is at 20 (lower quartile), the line inside the box is at 25 (median), the right side of the box is at 35 (upper quartile), and the left - most point (minimum) is around 10. So the statement "The median is 21" is not correct.

Step3: Analyze the second question

In a positively skewed box - and - whisker plot, the tail on the right side (right whisker) is longer because the data is pulled towards the higher values.

Answer:

Question 2: The median is 21
Question 3: Right