Here are the correct answers to the given questions based on the provided data:

(a) Center of the Data Set

• The best choice is:
  ✅ "Based on the mean and median, we see that the 'average' number of people served was about 52 or 53."
  • The mean is 52, and the median is 53, so the typical or central value of the data set is around these values.

(b) Spread of the Data Set

• The best choice is:
  ✅ "The middle half of the data set is 3 units wide. (This is the IQR.)"
  • The interquartile range (IQR) measures the spread of the middle 50% of the data, and it's given as 3.

(c) Shape of the Data Set

• The best choice is:
  ✅ Graph 1 (The data set is not symmetric.)
  • The histogram in Graph 1 is skewed, meaning the data is not evenly distributed.
  • Since the median (53) is slightly greater than the mean (52), this suggests a left-skewed or slightly asymmetric distribution.

Do you want further clarification on any of these? Here are some related questions:

1. What does it mean when the median is greater than the mean in a data set?
2. How do we interpret the interquartile range (IQR) in real-world data?
3. What is the significance of a skewed distribution in data analysis?
4. How do range and IQR differ when measuring spread?
5. What are other ways to measure the center of a data set besides mean and median?

💡 Tip: A symmetric data set has a mean and median that are very close, and its histogram looks evenly balanced.