https://file.aiquickdraw.com/mathbot/file/1727178418492t9mrke65.jpg

The table in the image shows the data and their respective frequencies:

- Data: 3, 4, 5, 6
- Frekuensi (Frequency): 10, 15, 12, 14

We are asked to find the mean (rata-rata) and mode (modus).

### 1. Mean (Rata-rata)
The formula for the mean is:

\[
\text{Mean} = \frac{\sum (x \cdot f)}{\sum f}
\]

Where:
- \( x \) is the data value
- \( f \) is the frequency

\[
\sum (x \cdot f) = (3 \cdot 10) + (4 \cdot 15) + (5 \cdot 12) + (6 \cdot 14)
= 30 + 60 + 60 + 84 = 234
\]

\[
\sum f = 10 + 15 + 12 + 14 = 51
\]

Now, calculate the mean:

\[
\text{Mean} = \frac{234}{51} \approx 4.59 \ (\text{rounded to } 4.6)
\]

### 2. Mode (Modus)
The mode is the data value with the highest frequency. From the table, the frequency for 4 is the highest (15), so the mode is 4.

### Conclusion:
The mean is approximately 4.6, and the mode is 4. Therefore, the correct answer is:

**4.6 and 4**

Would you like further details or explanations?

### Related Questions:
1. How do you calculate median in this kind of data set?
2. What if two modes appear? How is bimodal data interpreted?
3. What is the relationship between mean, median, and mode?
4. How does skewness affect the mean and mode?
5. Can the mean of a data set ever be smaller than all the data values?

### Tip:
Always double-check your calculations for sums and products when working with data sets, especially when frequencies are involved!

Dari suatu penelitian diperoleh data sebagai berikut:
Data: 3, 4, 5, 6
Frekuensi: 10, 15, 12, 14
Maka rata-rata dan nilai modus berturut-turut adalah....

This problem involves calculating the mean and mode from a frequency table. Given the data points 3, 4, 5, and 6, and their respective frequencies 10, 15, 12, and 14, we calculate the mean and identify the mode. Perfect for Grades 7-9 students learning basic statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation