The table provides values and their respective frequencies, and the goal is to calculate the average (mean) of the data.

The table has two rows:

• Nilai (Values): 6, 7, 8, 9, 10
• Frekuensi (Frequencies): 4, 7, 5, 3, 2

To calculate the mean, we use the formula for the weighted average:

$\text{Mean} = \frac{\sum (\text{Nilai} \times \text{Frekuensi})}{\sum \text{Frekuensi}}$

Step 1: Multiply each value by its frequency:

• $6 \times 4 = 24$
• $7 \times 7 = 49$
• $8 \times 5 = 40$
• $9 \times 3 = 27$
• $10 \times 2 = 20$

Step 2: Sum the products:

$24 + 49 + 40 + 27 + 20 = 160$

Step 3: Sum the frequencies:

$4 + 7 + 5 + 3 + 2 = 21$

Step 4: Calculate the mean:

$\text{Mean} = \frac{160}{21} \approx 7.62$

Thus, the mean is approximately 7.6. The correct answer is c. 7,6.

Let me know if you have any questions or want further details!

Here are some related questions for practice:

1. How would the mean change if the frequency of 10 increased to 4?
2. What is the median value of the given data set?
3. How can you calculate the mode of the data from this frequency distribution?
4. How would you compute the standard deviation for this data set?
5. What is the cumulative frequency of the data set?

Tip: When working with frequency tables, always check the total frequency to ensure calculations are correct!