Which is the correct box-and-whisker plot for the data set?7, 13, 9, 15, 11, 7, 11
Question
Which is the correct box-and-whisker plot for the data set?
Data set: 7, 13, 9, 15, 11, 7, 11
Solution
To create a box-and-whisker plot for the data set 7, 13, 9, 15, 11, 7, 11, follow these steps:
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Arrange the data in ascending order: 7, 7, 9, 11, 11, 13, 15.
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Identify the minimum and maximum values. In this case, the minimum is 7 and the maximum is 15.
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Calculate the median (middle value). Since there are 7 data points, the median is the fourth value, which is 11.
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Calculate the lower quartile (Q1), which is the median of the lower half of the data. The lower half is 7, 7, 9. The median of this is 7.
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Calculate the upper quartile (Q3), which is the median of the upper half of the data. The upper half is 11, 13, 15. The median of this is 13.
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Now, you can draw the box-and-whisker plot. Draw a number line from 7 to 15. Draw a box from 7 (Q1) to 13 (Q3). Draw a line through the box at 11 (median). Draw whiskers from the box to the minimum and maximum values.
Unfortunately, I can't draw the plot here, but this is how you would create it.
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