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Find the interquartile range for a data set having the five-number summary: 6.6, 14, 21, 27.5, 36.4

Respuesta :

A box plot has 5 data descriptions. The interquartile range for the given data set is 13.5.

How does a boxplot shows the  data points?

A box plot has 5 data descriptions.

  • The leftmost whisker shows the minimum value in the data.
  • The rightmost whisker shows the maximum value in the data.
  • The leftmost line in the box shows the first quartile.
  • The middle line shows the median, also called second quartile.
  • The last line of the box shows the third quartile.

The given following information can be written as,

  • The minimum value in the data = 6.6
  • The leftmost line in the box shows the first quartile = 14
  • The middle line shows the median, also called the second quartile = 21
  • The last line of the box shows the third quartile = 27.5
  • The maximum value in the data = 36.4

Thus, the interquartile range for the given data is,

Interquartile range = 27.5 - 14 = 13.5

Hence, the interquartile range for the given data set is 13.5.

Learn more about Box-Plot:

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