Question

S the interquartile range of this data?

Answer 1

We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.

We are asked to find the inter-quartile range of the given data.

We know that interquartile range is difference of upper quartile and lower quartile.

We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.

We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.

$\text{Interquartile range}=\text{Upper quartile}-\text{Lower quartile}$

$\text{Interquartile range}=36-16$

$\text{Interquartile range}=20$

Therefore, the interquartile range of the given data is 20 and last option is the correct choice.