Question

Look at this set of 6 numbers:
5 4 7 3 9 2
By how much would the range increase if the number 5 were added to the set?

Answer 1

To find out how the range would change by adding the number 5 to the set, we first need to determine the range of the original set of numbers.

The original set is:
5, 4, 7, 3, 9, 2

1. First, find the minimum and maximum values in the original set:
- Minimum = 2
- Maximum = 9

2. Calculate the range of the original set:
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 9 - 2 = 7
\]

Next, we add the number 5 to the set. The new set becomes:
5, 4, 7, 3, 9, 2, 5

3. Now find the new minimum and maximum values:
- Minimum = 2 (remains the same)
- Maximum = 9 (remains the same)

4. Calculate the new range:
\[
\text{New Range} = \text{Maximum} - \text{Minimum} = 9 - 2 = 7
\]

Finally, we determine how much the range has changed:
\[
\text{Change in Range} = \text{New Range} - \text{Original Range} = 7 - 7 = 0
\]

Therefore, the range does not increase when the number 5 is added to the set. The answer is:
\[
\text{The range increases by } 0.
\]