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Which of the following diagrams would be useful in depicting the median value in the data?

Question

Which of the following diagrams would be useful in depicting the median value in the data?

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Solution

A box and whisker plot (also known as a box plot) would be useful in depicting the median value in the data. Here's how you can create one:

  1. Arrange your data in numerical order from smallest to largest.
  2. Find the median. This is the middle number in your data set when it is arranged in numerical order. If you have an even number of data points, the median is the average of the two middle numbers.
  3. Find the lower quartile. This is the median of the lower half of your data.
  4. Find the upper quartile. This is the median of the upper half of your data.
  5. Draw a box from the lower quartile to the upper quartile. This represents the interquartile range.
  6. Draw a line through the box at the median. This represents the median of the entire data set.
  7. Draw whiskers from the box to the smallest and largest values in your data set, unless there are outliers. If there are outliers, the whiskers extend to the highest and lowest values that are not outliers, and the outliers are marked with dots or asterisks.

The median is represented by the line that divides the box into two parts. This diagram not only shows the median, but also gives a visual representation of the spread and skewness of the data.

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