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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

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Solution

To create a box-and-whisker plot for the data set 7, 13, 9, 15, 11, 7, 11, follow these steps:

  1. Arrange the data in ascending order: 7, 7, 9, 11, 11, 13, 15.

  2. Identify the minimum and maximum values. In this case, the minimum is 7 and the maximum is 15.

  3. Calculate the median (middle value). Since there are 7 data points, the median is the fourth value, which is 11.

  4. 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.

  5. 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.

  6. 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.

This problem has been solved

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