https://r2.erweima.ai/mathbot/image/1726623159404wt2rnkfm.jpg

tính trung bình và độ lệch chuẩn

To calculate the **mean** (trung bình) and **standard deviation** (độ lệch chuẩn) of the given data, we'll first extract the relevant values from the image:

- Number of people (Người): \( 0, 3, 7, 38, 7 \)
- Percentage (Tỷ lệ): \( 0\%, 5.5\%, 12.7\%, 69.1\%, 12.7\% \)

However, the standard deviation is based on the actual data set (people values). The percentages likely represent the distribution of these values.

### Step 1: Calculate the mean
The mean is calculated as:

\[
\mu = \frac{\sum (x \cdot f)}{N}
\]

Where:
- \( x \) = values of the "Người" column: \( 0, 3, 7, 38, 7 \)
- \( f \) = frequencies corresponding to percentages: \( 0, 5.5\%, 12.7\%, 69.1\%, 12.7\% \)
- \( N \) is the total number of samples (people).

### Step 2: Calculate the standard deviation
The standard deviation is calculated as:

\[
\sigma = \sqrt{\frac{\sum f (x - \mu)^2}{N}}
\]

Let me proceed with these calculations.The calculated mean (trung bình) of the data is approximately **28.20**, and the standard deviation (độ lệch chuẩn) is approximately **14.68**.

Would you like to explore any of the following topics or need further details?

1. How to interpret the mean and standard deviation in this context.
2. What each value of the standard deviation tells us.
3. How to calculate variance from standard deviation.
4. Understanding how percentages were used in this calculation.
5. How the distribution impacts the standard deviation.

**Tip**: The standard deviation gives you an idea of how spread out the values are from the mean. A higher value indicates more variability in your data.

Learn how to calculate the mean (trung bình) and standard deviation (độ lệch chuẩn) for a data set. This example uses a sample dataset with values such as 0, 3, 7, 38, 7 and respective percentages. Explore core statistical concepts like weighted averages and data dispersion.

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