Question

consider the box plots, which represent the scores, in percents, of various students on the first two history tests a teacher gives. which two statements are true? test 1s data is skewed left. test 1s data is skewed right. test 2s data is skewed right. test 2s data is skewed left.

Explanation:

To determine the skewness of box - plots, we use the following rule: If the tail of the box - plot is longer on the right side, the data is skewed right; if the tail is longer on the left side, the data is skewed left. The position of the median (the line inside the box) also gives us a clue. If the median is closer to the left side of the box, the data is skewed right (because the right tail is longer), and if the median is closer to the right side of the box, the data is skewed left (because the left tail is longer).

Analyzing Test 1's Box - plot

• For Test 1, we observe the box - plot. The tail on the right side is longer. Also, the median (the line inside the box) is closer to the left side of the box. This indicates that the data for Test 1 is skewed right.

Analyzing Test 2's Box - plot

• For Test 2, the tail on the left side is longer. And the median (the line inside the box) is closer to the right side of the box. This indicates that the data for Test 2 is skewed left.

• For Test 1: The right - tail of the box - plot is longer, and the median is closer to the left of the box, so Test 1's data is skewed right.
• For Test 2: The left - tail of the box - plot is longer, and the median is closer to the right of the box, so Test 2's data is skewed left.

Answer:

• Test 1’s data is skewed right.
• Test 2’s data is skewed left.