Question

The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.

Amount of Rainfall (inches)
1 3/4, 2 1/2, 3/4, 1 1/4, 2, 1 1/2, 2 3/4, 3 1/4, 1, 2 3/4

Part A
What is the difference between the greatest and least amounts of rainfall in a month?

(1 point)
Responses

1 1/4 inches

1 1/2 inches

2 1/2 inches

2 1 2 inches

2 3/4 inches

Answer 1

To find the difference between the greatest and least amounts of rainfall, we first need to identify the greatest and least amounts from the given data:

The amounts of rainfall are:
- 1 3/4
- 2 1/2
- 3/4
- 1 1/4
- 2
- 1 1/2
- 2 3/4
- 3 1/4
- 1
- 2 3/4

Now let's convert these amounts to improper fractions or decimal form for easier comparison:

1. \(1 \frac{3}{4} = \frac{7}{4} = 1.75\)
2. \(2 \frac{1}{2} = \frac{5}{2} = 2.5\)
3. \( \frac{3}{4} = 0.75\)
4. \(1 \frac{1}{4} = \frac{5}{4} = 1.25\)
5. \(2 = \frac{4}{2} = 2.0\)
6. \(1 \frac{1}{2} = \frac{3}{2} = 1.5\)
7. \(2 \frac{3}{4} = \frac{11}{4} = 2.75\)
8. \(3 \frac{1}{4} = \frac{13}{4} = 3.25\)
9. \(1 = 1.0\)
10. \(2 \frac{3}{4} = \frac{11}{4} = 2.75\)

Now, let's identify the greatest and least amounts:

- **Greatest**: \(3 \frac{1}{4}\) or \(3.25\)
- **Least**: \( \frac{3}{4}\) or \(0.75\)

Now, we calculate the difference between the greatest and least values:

\[
3.25 - 0.75 = 2.5
\]

Thus, the difference between the greatest and least amounts of rainfall in a month is **2 1/2 inches**.

So the correct response is:
**2 1/2 inches**.