mathieu446 mathieu446
  • 07-03-2020
  • Mathematics
contestada

Which set of data has the highest interquartile range?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 14-03-2020

Answer:

See explanation

Step-by-step explanation:

You have not provided enough information to get a unique answer.

But I will show you how to calculate the interquartile range from the boxplots and compare them.

From the first diagram, the first quartile is

[tex]Q_1=3.5[/tex]

and the 3rd quartile is

[tex]Q_3=8.5[/tex]

The interquartile range is

[tex]IQR=Q_3-Q_1 = 8.5 - 3.5[/tex]

Similarly from the second diagram,

[tex]IQR=Q_3-Q_1 = 9.5 - 5 = 4.5[/tex]

Therefore the first has the highest interquartile range.

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