The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Island A because the median is closer to one end of the box in the box plot.
Island B because the median is closer to the center of the box in the box plot.
Island A because it has a smaller interquartile range.
Island B because it has a larger interquartile range
Answers
Given : The box plots show the average wind speeds, in miles per hour, for two different islands.
To Find : on a given day, which island is more likely to have a wind speed close to its median?
Solution:
Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4.
whiskers range from 1 to 9.5
Range = 9.5 - 1 = 8.5
box ranges from 3 to 7.
Q₁ =3 , Q₃=7
interquartile range = 7 - 3 = 4
A line divides the box at 4.
Q₂ = Median = 4
Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
whiskers range from 1.5 to 11
Range = 11 - 1.5 = 9.5
box ranges from 4 to 9
Q₁ =4 , Q₃=9
interquartile range = 9 - 4 = 5
A line divides the box at 6
Q₂ = Median = 6
Island A interquartile range = 4
Island B interquartile range = 5
island A is more likely to have a wind speed close to its median
because it has a smaller interquartile range.
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