Which choice below is a boxplot for the following distributi

Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19 Boxplot A Boxplot B Boxplot C Boxplot D Boxplot E

Solution

Mean = 801/17 =47.1

Ordering the data from least to greatest, we get:

19   21   35   38   40   40   41   42   46   50   54   56   60   62   64   66   67   

So, the median is 46 .

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers:

Q1 = 29 ;

Q3 = 61

The lowest value is 19.

The highest value is 67.

Mean = Median ( approx.) = 46

Option A: Boxplot A