To find the mean of a data set, use the formula:

$\text{Mean} = \frac{\text{Sum of all data items}}{\text{Number of data items}}$

Step 1: Calculate the sum of the data items

$5.1 + 7.8 + 2.7 + 2.6 + 9.4 + 5.5 + 5.7 + 8.6 + 2.5 + 1.6 + 6.4 = 57.9$

Step 2: Count the number of data items

There are 11 data items in total.

Step 3: Divide the sum by the number of data items

$\text{Mean} = \frac{57.9}{11} \approx 5.26$

Final Answer:

The mean of the data set is approximately 5.26.

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Would you like further explanation or examples on calculating the mean?

5 Related Questions:

1. What is the difference between mean, median, and mode?
2. How do outliers affect the mean of a data set?
3. Can the mean of a data set be a non-integer even if all data points are integers?
4. How can the weighted mean be calculated for grouped data?
5. What is the role of the mean in comparing distributions?

Tip:

When calculating the mean, double-check your sum to avoid errors in the final result.