To determine which class scored better on average and which had more consistent scores, we can analyze the given dataTo determine which class scored better on average and which had more consistent scores, we can analyze the given

1. Which class scored better on average?

• Class A had a mean score of 8.7 points.
• Class B had a mean score of 7.3 points.

Since 8.7 > 7.3, Class A scored better on average.

2. Which class had more consistent scores?

• Class A had a standard deviation of 0.3 points.
• Class B had a standard deviation of 1.1 points.

The standard deviation measures the spread of the scores around the mean. A smaller standard deviation indicates more consistent scores.

Since 0.3 < 1.1, Class A had more consistent scores.

Summary:

• Class A scored better on average.
• Class A also had more consistent scores.

Would you like further details on the analysis, or do you have any other questions?

Here are 5 related questions to consider:

1. What is the significance of standard deviation in interpreting data?
2. How would the results differ if Class B had a higher mean but also a higher standard deviation?
3. What would the data suggest if both classes had the same mean but different standard deviations?
4. How might outliers affect the mean and standard deviation in these classes?
5. How can these statistics help teachers understand student performance better?

Tip: When comparing two data sets, always look at both the mean and standard deviation to get a complete picture of performance and consistency.