Question

Look at this set of 9 numbers:
624531434
How would the range change if the number 4 replaced the number 6 in the set?

Answer 1

To find the range of a set of numbers, you subtract the smallest number from the largest number.

First, let's analyze the original set of numbers: **624531434**.

The digits in the set are: 6, 2, 4, 5, 3, 1, 4, 3, 4.

- The largest number is **6**.
- The smallest number is **1**.

Now we calculate the range of the original set:

\[
\text{Range} = \text{Largest} - \text{Smallest} = 6 - 1 = 5.
\]

Next, if we replace the number **6** with **4**, the new set of numbers becomes: **424531434**.

The digits in the new set are: 4, 2, 4, 5, 3, 1, 4, 3, 4.

- The largest number in this new set is now **5** (the largest remaining digit).
- The smallest number remains **1**.

Now we calculate the range of the new set:

\[
\text{Range} = \text{Largest} - \text{Smallest} = 5 - 1 = 4.
\]

To summarize:

- The original range was **5**.
- The new range after replacing **6** with **4** is **4**.

Thus, the range changed from **5 to 4**.