Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

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Question:

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Answer:

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

  • Median: 22
  • Minimum: 6
  • Maximum: 30
  • First quartile: 13
  • Third quartile: 27.5
  • Interquartile Range: 14.5
  • Outliers: none

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

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