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To calculate the mean (or "media") from the given data, we use the formula for the mean of grouped dataTo calculate the mean (or "media") from the given data, we use the formula for the mean of grouped 

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

Where:
- \(x\) is the value of the variable (the "x" column).
- \(f\) is the frequency (the "f" column).

### Steps:
1. Multiply each value of \(x\) by its corresponding frequency \(f\).
2. Add these products together.
3. Divide the result by the sum of the frequencies.

Let's calculate:

\[
\sum (x \cdot f) = (21 \cdot 18) + (22 \cdot 6) + (23 \cdot 16) + (24 \cdot 20) + (25 \cdot 1)
\]
\[
= 378 + 132 + 368 + 480 + 25 = 1383
\]

\[
\sum f = 18 + 6 + 16 + 20 + 1 = 61
\]

Now, calculate the mean:

\[
\text{Mean} = \frac{1383}{61} \approx 22.7
\]

So, the mean is approximately **22.7** (rounded to one decimal place).

Would you like further details or have any questions?

### Related Questions:
1. What is the median of this data set?
2. How would the mean change if the frequency of \(x = 25\) were higher?
3. Can you calculate the variance for this grouped data?
4. How does the mean compare to the mode of the data set?
5. What is the importance of using frequencies when calculating the mean?

### Tip:
Always double-check the total frequency sum when calculating the mean to ensure accuracy.

Calcular la media usando la tabla de frecuencia con valores de x y f, donde x = [21, 22, 23, 24, 25] y f = [18, 6, 16, 20, 1].

Learn how to calculate the mean using a frequency distribution table with values x = [21, 22, 23, 24, 25] and corresponding frequencies f = [18, 6, 16, 20, 1]. This problem demonstrates key statistical concepts and involves applying the formula for the mean of grouped data.

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