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?

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.