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