Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

The first box plot, the smallest data point is the minimum and the largest the maximum, the first line is the lower quartile, the middle line is the median, the third line is the upper quartile.

Option 1 is correct

Step-by-step explanation:

Given that maximum is 48.  

Of the given four box plots only options 1 and 3 satisfy this. So we can ignore 2 and 4 as incorrect.

Comparing 1 and 2, let us find minimum. Minimum is both shown as 27.

I quartile, 32 is shown correctly in Option I.  But in Option III it is shown as 31.

Hence OPtion III is incorrect

The only option which shows minimum as 27, median 36, upper quartile 45 and lower quartile 32 is Option I.

Hence OPtion I is the only correct option

step-by-step explanation: