Math Problem Statement
Solution
The table in your image seems to represent a frequency distribution, likely based on age intervals or scores. The request, "Cari rata-rata (x̄)" translates from Indonesian as "Find the average (mean) (x̄)".
To calculate the mean, we need the following information:
- Class intervals (or scores): Represented by the intervals such as 45-49, 50-54, etc.
- Frequencies (f): These are the values below "skor," which are the counts of occurrences for each interval.
Steps to calculate the mean:
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Midpoints (m): First, calculate the midpoint for each class interval by averaging the lower and upper boundaries. For example, for 45-49, the midpoint would be:
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Multiply midpoints by frequencies: For each class interval, multiply the midpoint by the corresponding frequency (f).
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Sum of all midpoint-frequency products: Add up all the products from step 2.
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Sum of all frequencies: Add all the frequencies.
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Mean (x̄): The formula for the mean is:
Would you like me to calculate this for you using the values from the table?
5 Related Questions:
- How is a class midpoint calculated in a frequency distribution?
- What is the difference between a weighted average and a simple average?
- How do you find the median from a frequency table?
- What is the role of frequencies in calculating statistical measures like the mean?
- How do you determine the mode from a grouped frequency distribution?
Tip: When working with frequency distributions, using midpoints is key to simplifying calculations like the mean and variance.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Mean (Average) Calculation
Formulas
Class midpoint: m = (Lower Bound + Upper Bound) / 2
Mean: x̄ = Σ(f * m) / Σf
Theorems
Arithmetic Mean Theorem
Suitable Grade Level
Grades 9-12
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