Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true about the box plots?
What is the interquartile range for ski Resort B? ✔ about 75 inchesabout 150 inchesabout 200 inchesabout 300 inches
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What is the interquartile range for ski Resort A? What is the interquartile range for ski Resort B?
The snowfall data for Resort A have an interquartile range of around 50. The snowfall data for Resort B have an interquartile range of around 75. Which data are more consistent, and what does that mean?
The data for Resort A are more consistent because Resort A has a smaller interquartile range (50) compared to Resort B (75). A smaller IQR indicates that the middle 50% of the data points are closer together and more likely to be near the median, meaning there is less variation in the snowfall amounts.
What can be said about the data for the snowfall in each resort? Check all that apply.
The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?
A box plot is a good method for comparing these two data sets because it visually shows the spread and symmetry of the data. Since Resort B's data is not symmetric, the median (which is shown in a box plot) is a better measure of center than the mean. Box plots allow you to compare the medians and interquartile ranges of both resorts simultaneously to see which has more consistent snowfall.
Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true?
Which statement is true of the snowfall data in the box plots? Check all that apply.
Kevin wanted to go snowboarding for his vacation. Explain how he could make his decision regarding whether to go to Resort A or Resort B based on the snowfall data from the box plots.
Resort A has more consistent snowfall, so it shows less variation. However, the snowfall for Resort B has a higher median, and the interquartile range is higher (not larger), so it is more likely that Kevin will find a good snowfall at Resort B.
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