Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
What is box plot?
Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
Least height - 142 cm
Lower quartile - 154 cm
Inter quartile range - 17 cm
Median - 162 cm
Range - 40 cm
The higher quartile can be calculated as
Higher quartile = Lower quartile + Inter quartile range
⇒ Higher quartile = [tex]154+17[/tex]
⇒ Higher quartile = [tex]171[/tex]
From the box plot shown, the values of median and higher quartile are drawn wrong.
In diagram,
- The median is at 161 but it should be drawn in 162.
- The higher quartile is at 172 but it should be drawn in 171.
Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
Learn more about box plot here
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