To find the range of the temperatures recorded over the week, we first need to convert all the temperatures to improper fractions or decimals to make the calculation easier.
Here are the recorded temperatures:
- 18.5 (18 wholes and 1 half)
- 21.33 (21 wholes and 1 third)
- 20.75 (20 wholes and 3 fourths)
- 19.67 (19 wholes and 2 thirds)
- 22.125 (22 wholes and 1 eighth)
Now we can identify the minimum and maximum values:
- Minimum temperature: 18.5
- Maximum temperature: 22.125
Next, we calculate the range:
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 22.125 - 18.5 = 3.625 \]
Now, converting 3.625 into a fraction gives us \(3 \frac{5}{8}\).
This corresponds to 3 58 (3 whole numbers and 58 as a fraction, which represents 5/8).
Thus, the correct response is 3 58.