Directions: Create a statistical data set of at least 10 numbers such that:

1. All of the numbers in the data set are whole numbers.

2. The median is not a whole number.

3. The median is not part of the data set.

### Hint

What strategy do you use to find the median of a data set? Does this strategy work in all cases?

### Answer

There are many correct answers. One statistical data set that would work is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Here the median is 5.5. You could make this question more challenging by adding more constraints.

Source: Daniel Luevanos

1,2,3,4,5,6,7,8,9,10

The median would be 5.5, it is not in the data set nor a while number

10,11,12,13,14,15,16,17,18,19.

The median would be 14.5 which which is not in the data set or a whole number.

1,2,3,4,5,6,7,8,9,10

The median is 5.5 which is NOT part of the data set or a whole number.

You could do 1,2,3,4,5,6,7,8,9,10. This is because the median is 5.5. That number is not in the data set. The number also is not a whole number. Another combo could be 30,31,32,33,34,35,36,37,38,39. The median is 35.5 which is not a whole number. It also is not in the data set.

1,2,3,4,5,6,7,8,9,10

1,2.3.4 the median is 2.5

1,2,3,4,5,6,7,8,9,10

The median would be 5.5, it is not in the data set nor a while number

4,9,10,1. The median would be 9.5 which is not a whole number nor a number in the data set.

10,12,14,16,18,20,22,24,26,28. The Mean is 19