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To solve this problem, we need to:

1. Group the temperatures into the given intervals.
2. Calculate the relative frequency for each group by dividing the number of data points in each group by the total number of data points (17).
3. Express the result as a decimal rounded to the nearest hundredth.

The intervals provided are:

- 93 to 96
- 97 to 100
- 101 to 104
- 105 to 108
- 109 to 112

### Step 1: Organize the data into intervals

The temperatures given are:
108, 104, 101, 112, 109, 110, 99, 106, 102, 105, 94, 94, 107, 93, 103, 105, 103.

Now, we count how many temperatures fall within each range:

- 93 to 96: 93, 94, 94 → 3 temperatures
- 97 to 100: 99 → 1 temperature
- 101 to 104: 101, 102, 103, 103, 104 → 5 temperatures
- 105 to 108: 105, 105, 106, 107, 108 → 5 temperatures
- 109 to 112: 109, 110, 112 → 3 temperatures

### Step 2: Calculate the relative frequency

To find the relative frequency for each group, divide the count for each interval by the total number of data points (17). Then, round to the nearest hundredth.

- 93 to 96: \( \frac{3}{17} \approx 0.18 \)
- 97 to 100: \( \frac{1}{17} \approx 0.06 \)
- 101 to 104: \( \frac{5}{17} \approx 0.29 \)
- 105 to 108: \( \frac{5}{17} \approx 0.29 \)
- 109 to 112: \( \frac{3}{17} \approx 0.18 \)

### Final table:

| Temperature (in °C) | Relative frequency |
|---------------------|--------------------|
| 93 to 96            | 0.18               |
| 97 to 100           | 0.06               |
| 101 to 104          | 0.29               |
| 105 to 108          | 0.29               |
| 109 to 112          | 0.18               |

Would you like more details on any step, or do you have any questions?

Here are five related questions for further exploration:

1. What is the total frequency for all the groups?
2. How would the frequencies change if the class width was increased to 5?
3. What does the sum of all the relative frequencies represent?
4. How can we create a cumulative frequency distribution from this data?
5. How would the relative frequency distribution change with more data points?

**Tip:** Always ensure that the sum of relative frequencies equals approximately 1 when rounded to the nearest hundredth.

A chemical technician measured the temperatures (in °C) of 17 different solutions. Complete the grouped relative frequency distribution for the data using a class width of 4. Write each relative frequency as a decimal rounded to the nearest hundredth.

Solve a statistical problem by completing a grouped relative frequency distribution for 17 temperatures. Explore how the data is distributed across intervals of 4°C, with each relative frequency expressed as a decimal rounded to the nearest hundredth. Suitable for high school students learning basic statistics.

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