Find the interquartile range (IQR) of the data in the box plot below. A horizontal boxplot titled Magnitude of earthquakes, is plotted along a horizontal axis marked from 0 to 10, in increments of 0.5. A left whisker extends from 2.5 to 4. The box extends from 4 to 7 and is divided into 2 parts by a vertical line segment at 6.5. The right whisker extends from 7 to 8.5. All values estimated.

Question

Mathematics

Kenya Castro

2 October, 22:17

Find the interquartile range (IQR) of the data in the box plot below. A horizontal boxplot titled Magnitude of earthquakes, is plotted along a horizontal axis marked from 0 to 10, in increments of 0.5. A left whisker extends from 2.5 to 4. The box extends from 4 to 7 and is divided into 2 parts by a vertical line segment at 6.5. The right whisker extends from 7 to 8.5. All values estimated.

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Kamryn Avery · Answer 1

IQR = 3

Step-by-step explanation:

Interquartile range, which is abbreviated as IQR, is just the difference between the upper quartile (where the box ends) and the lower quartile (where the box starts). AS it is given in the question that that box starts from 4 and ends at. The interquartile range IQR is simply:

IQR = 7 - 4 = 3

The values of data are usually clustured around some central value. Interquartile range tells us how spread out these middle values. It also tells when some values are too far from the central value. The values which are too far are also termed as outlier values