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What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44


Sagot :

Using the median concept, the interquartile range of the data-set is:

A. 22.

What are the median and the quartiles of a data-set?

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third and the first quartile.

From this box plot, we have that:

  • The first quartile is of 39.
  • The third quaritle is of 61.

Then the IQR is:

61 - 39 = 22.

More can be learned about median and quartiles at https://brainly.com/question/16169585

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