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Make a box-and-whisker plot of the data.24, 13, 15, 28, 28, 12, 25, 16

Question

Make a box-and-whisker plot of the data.24, 13, 15, 28, 28, 12, 25, 16

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Solution 1

Sure, here are the steps to create a box-and-whisker plot for the given data:

  1. First, you need to arrange the data in ascending order: 12, 13, 15, 16, 24, 25, 28, 28.

  2. Identify the median of the data set. The median is the middle value. Since we have 8 data points, the median is the average of the 4th and 5th values, which is (16+24)/2 = 20.

  3. Identify the lower quartile (Q1). This is the median of the lower half of the data (not including the median if the number of data points is odd). In this case, the lower quartile is the average of the 2nd and 3rd values, which is (13+15)/2 = 14.

  4. Identify the upper quartile (Q3). This is the median of the upper half of the data. In this case, the upper quartile is the average of the 6th and 7th values, which is (25+28)/2 = 26.5.

  5. The "box" part of the box-and-whisker plot is drawn from Q1 to Q3, with a line in the box for the median. So, draw a box from 14 to 26.5, with a line at 20.

  6. The "whiskers" are drawn from the box to the minimum and maximum values of the data. So, draw a line from 14 to 12 (the minimum value) and from 26.5 to 28 (the maximum value).

  7. Label the plot with the values for the minimum, Q1, median, Q3, and maximum.

And that's it! You've created a box-and-whisker plot for the data.

This problem has been solved

Solution 2

Sure, here are the steps to create a box-and-whisker plot for the given data:

  1. Arrange the data in ascending order: 12, 13, 15, 16, 24, 25, 28, 28.

  2. Find the median (

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