From the box-and-whisker plot provided in the image, we can extract the following details:

• Minimum value (left whisker): 3.9
• Maximum value (right whisker): 71.7
• First quartile (Q1): 19.3
• Median (Q2): 32.1
• Third quartile (Q3): 57.6

1. Range of the data:

The range is the difference between the maximum and minimum values.

$\text{Range} = 71.7 - 3.9 = 67.8$

2. Spread of the two middle groups:

The "two middle groups" likely refer to the interquartile range (IQR), which is the spread between Q1 and Q3.

$\text{IQR} = Q3 - Q1 = 57.6 - 19.3 = 38.3$

Now, let's answer the second part of the question: "Are the numbers in the two middle groups more spread out above or below the median?"

• The spread below the median (Q2 - Q1): $32.1 - 19.3 = 12.8$

• The spread above the median (Q3 - Q2): $57.6 - 32.1 = 25.5$

So, the numbers above the median are more spread out than those below the median.

Summary of answers:

• Range: 67.8
• The numbers are more spread out above the median.

Would you like more details on any part? Here are some related questions to explore further:

1. What is the significance of the interquartile range (IQR)?
2. How does the median split the dataset, and why is it useful in statistics?
3. What can the whiskers in a box plot tell us about potential outliers?
4. How is the range different from the IQR in terms of data analysis?
5. What does a wider spread above the median suggest about the distribution?

Tip: The range gives a sense of the overall spread, but the interquartile range is more robust to outliers!