### Convert stem-and-leaf diagram to box-and-whisker diagram with apparently distinctive feature

Question Sample Titled 'Convert stem-and-leaf diagram to box-and-whisker diagram with apparently distinctive feature'

The stem-and-leaf diagram below shows the distribution of the speeds of some cars on a street (km/h).

Stem (tens)Leaf (units)
 ${0}$ ${1}$ ${2}$ ${4}$ ${5}$ ${6}$ ${7}$ ${8}$ ${9}$
 ${8}$ ${9}$ ${0}$ ${4}$ ${8}$ ${8}$ ${9}$ ${9}$ ${0}$ ${8}$ ${8}$ ${4}$ ${4}$ ${5}$ ${9}$ ${9}$ ${5}$ ${3}$ ${9}$ ${2}$

Which of the following box-and-whisker diagram best represents the distribution of the distribution?

A


B


C


D



 From the stem-and-leaf diagram, minimum $={8}$ lower quartile ${\left({Q}_{{1}}\right)}$ $={28}$ $\dfrac{{{28}+{28}}}{{2}}$ median ${\left({Q}_{{2}}\right)}$ $={48}$ $\dfrac{{{48}+{48}}}{{2}}$ upper quartile ${\left({Q}_{{3}}\right)}$ $={69}$ $\dfrac{{{69}+{69}}}{{2}}$ maxmium  $={92}$ Therefore, the box-and-whisker diagram is as below.

${8}$${92}$${48}$${28}$${69}$

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