Question

Create a box plot for the data given in Problem. 18, 27, 34, 52, 54, 59, 61, 68, 78, 78, 82, 82, 85, 87, 91, 93, 100

Answer 1

The minimum is the smallest value in a data set.

Ordering the data from least to greatest, we get:

18   27   34   52   54   59   61   68   78   78   82   82   85   87   91   93   100   

So, the minimum is 18.

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

18   27   34   52   54   59   61   68   78   78   82   82   85   87   91   93   100   

So, the bottom half is

18   27   34   52   54   59   61   68   

The median of these numbers is 53.

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

18   27   34   52   54   59   61   68   78   78   82   82   85   87   91   93   100   

So, the median is 78 .

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

18   27   34   52   54   59   61   68   78   78   82   82   85   87   91   93   100   

So, the upper half is

78   82   82   85   87   91   93   100   

The median of these numbers is 86.

The maximum is the greatest value in a data set.

Ordering the data from least to greatest, we get:

18   27   34   52   54   59   61   68   78   78   82   82   85   87   91   93   100   

So, the maximum is 100.

So is the box plot, based on 5 number summary