Question

For the given data, plot the box and whiskers graph and find the lower, middle and upper quartiles.
Data: $52,54,56,68,54,78,97,34,22,65,82$

• A. Middle quartile $=78$
  Lower quartile $=56$
  Upper quartile $=22$
• B. Middle quartile $=56$
  Lower quartile $=52$
  Upper quartile $=78$

Answer 1

The correct option is B Middle quartile $=56$

Lower quartile $=52$
Upper quartile $=78$
First we need to arrange the data in ascending or increasing order.
Data: $22,34,52,54,54,56,65,68,78,82,97$
Number of elements $\left(n\right)=11$
In this Box and Whiskers Plot,
Middle value = Median = Middle Quartile

Middle quartile $=56$
Lower quartile $=52$
Upper quartile $=78$

The corresponding Box and Whiskers Plot would be: