Question

If the given box and whisker plot represents random samples of the yearly revenues of two companies for the last $10$ years, then which of the following statements is correct?

Answer 1

For company A:
Median $=1.1$
IQR $=$ Third quartile $-$ First quartile $=1.2-1=0.2$
Each quartile contains $25\%$ of the total observations.
Thus, $25\%$ data lies between the second and third quartile and $25\%$ data is greater than the third quartile.
$\therefore$ About $50\%$ of the data values lie within $1.1$ and $1.5$ for company $A$.

For company B:
Median $=0.6$
IQR $=$ Third quartile $-$ First quartile $=0.9-0.4=0.5$
Each quartile contains $25\%$ of the total observations.
Thus, $25\%$ data lies between the second and third quartiles and $25\%$ data is greater than the third quartile.
$\therefore$ About $50\%$ of the data values lie within $0.6$ and $1.4$ for company $B$.