Question

Which of the following option(s) is/are true for the given box and whiskers plot?

• A. The lower quartile is $38.$
• B. The upper quartile is $38.$
• C. The median is $32.$
• D. The inter-quartile range is $32.$

Answer 1

Answer: (B), (C)

The median is $32.$

The box plot shows the minimum, lower quartile, median, upper quartile, and maximum of a data set as follows:


The given box and whiskers plot is:


From the above plot, we can colclude that:
lower quartile $=26$
upper quartile $=38$
median $=32$

$\because$ Inter-quartile range $=$ Upper quartile $-$ Lower quartile
$=38-26=12$



Options (b.) and (c.) are correct choices.