Aisha recorded the heights, in centimetres, of some girls.
She used her results to work out the information in this table,
Least height
142 cm
Lower quartile
154 cm
Interquartile range
17 cm
Median
162 cm
Range
40 cm
Aisha drew this box plot for the information in the table.
The box plot is not fully correct.
130
140
180
190
150 160 170
Height (centimetres)
Write down the two things Aisha should do to make the box plot fully correct.

Aisha recorded the heights in centimetres of some girls She used her results to work out the information in this table Least height 142 cm Lower quartile 154 cm class=

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Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

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

https://brainly.com/question/12591498

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