Question

Researchers recorded data on the amount of sleep reported each night during a week by a random sample of 20 high school students. Here are parallel boxplots comparing the distribution of time slept on all 7 nights of the study: Which distributions have a clear left-skewed shape?

1) Monday
2) Tuesday
3) Wednesday
4) Thursday
5) Friday
6) Saturday
7) Sunday

Answer 1

The distributions that have a clear left-skewed shape are Wednesday and Sunday.

Step-by-step explanation:

In order to determine which distributions, have a clear left-skewed shape, we need to analyze the boxplot comparisons. In a left-skewed distribution, the median is closer to the right (higher values) and the tail of the distribution is longer on the left (lower values). Based on this, we can analyze the boxplots to identify the distributions that exhibit a clear left-skewed shape.

1. Monday: The boxplot shows the median closer to the upper quartile, indicating a right-skewed shape.
2. Tuesday: The boxplot shows the median closer to the upper quartile, indicating a right-skewed shape.
3. Wednesday: The boxplot shows the median closer to the lower quartile, indicating a left-skewed shape.
4. Thursday: The boxplot shows the median closer to the upper quartile, indicating a right-skewed shape.
5. Friday: The boxplot shows the median closer to the upper quartile, indicating a right-skewed shape.
6. Saturday: The boxplot shows the median closer to the upper quartile, indicating a right-skewed shape.
7. Sunday: The boxplot shows the median closer to the lower quartile, indicating a left-skewed shape.

Based on the analysis of the boxplots, the distributions that have a clear left-skewed shape are Wednesday and

Sunday.