Question

What is the Median and Range:
28 16 24 21 28 16 16 13 6 6 4 4 5 3 6 4 3 1 13 5 5 3 5 1 1 1 22

Answer 1

Median = 5

Range = 27

Explanation:

Median

In a set of numbers, the median is the middle value when the numbers are arranged in order of size.

• If there is an odd number of values, the median is the middle number.
• If there is an even number of values, the median is the average of the two middle numbers.

Order the given numbers from smallest to greatest:

`1\; 1\; 1\; 1 \;3\; 3\; 3\; 4 \;4\; 4\; 5\; 5\; 5 \;\boxed{5} \;6 \;6\; 6\; 13\; 13\;16 \;16\; 16 \;21 \;22 \;24\; 28\; 28 \\\phantom{wwwwwwwwwwwww..}\uparrow\\\phantom{wwwwwwwwwwww..}\sf median`

As there are 27 numbers, the median is middle number.

Therefore, the median is 5.

`\hrulefill`

Range

In a set of numbers, the range is the difference between the greatest and smallest values.

The greatest value of the given number set is 28.

The smallest value of the given number set is 1.

`\textsf{Range}=28-1=27`