https://file.aiquickdraw.com/mathbot/file/17305519051308aqijnfo.jpg

To determine which data set has the smallest range, let's analyze each option in the image. The range of a data set is calculated as the difference between the highest and lowest values within the set.

Here’s the breakdown:

1. **Option A:** \(8, 10, 14, 17, 19, 22\)
   - Range: \(22 - 8 = 14\)

2. **Option B:** \(11, 13, 18, 24, 26\)
   - Range: \(26 - 11 = 15\)

3. **Option C:** \(13, 17, 20, 27, 30\)
   - Range: \(30 - 13 = 17\)

4. **Option D:** \(47, 49, 52, 54, 62\)
   - Range: \(62 - 47 = 15\)

From this calculation, **Option A** has the smallest range, which is 14.

### Answer:
The correct answer is **A**.

Would you like further details on range calculation or other related topics?

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Here are five related questions for further exploration:

1. What are other ways to measure data spread besides range?
2. How would the range change if a single data point in a set is altered?
3. Can a data set with the smallest range still have a high variance?
4. How does range differ from interquartile range (IQR) in statistical analysis?
5. What are potential limitations of using range as a measure of variability?

**Tip:** The range is useful for quick assessments of data spread, but it can be heavily influenced by outliers.

Which of the following set of data has the smallest range? Options: A) 8, 10, 14, 17, 19, 22; B) 11, 13, 18, 24, 26; C) 13, 17, 20, 27, 30; D) 47, 49, 52, 54, 62.

Identify the set of data with the smallest range among given options by calculating the difference between the maximum and minimum values in each set. This problem is suitable for students in Grades 6-8 and focuses on basic data analysis skills.

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