Math Problem Statement
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].
Solution
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
Where:
- is the value of the variable (the "x" column).
- is the frequency (the "f" column).
Steps:
- Multiply each value of by its corresponding frequency .
- Add these products together.
- Divide the result by the sum of the frequencies.
Let's calculate:
Now, calculate the mean:
So, the mean is approximately 22.7 (rounded to one decimal place).
Would you like further details or have any questions?
Related Questions:
- What is the median of this data set?
- How would the mean change if the frequency of were higher?
- Can you calculate the variance for this grouped data?
- How does the mean compare to the mode of the data set?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Frequency Distribution
Formulas
Mean = Σ(x * f) / Σf
Theorems
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Suitable Grade Level
Grades 6-8