Math Problem Statement
Solution
The image you provided shows a frequency distribution table for a set of values labeled "Nilai" (range of values) and their corresponding "Frekuensi" (frequencies). Additionally, the sum of the frequencies is given as 90. There is also a list of options below (a. 36, b. 44, c. 54, d. 56, e. 60), which seems to be related to a question about the data.
Interpreting the Table:
| Nilai (Range) | Frekuensi (Frequency) |
|---|---|
| 11 – 20 | 3 |
| 21 – 30 | 7 |
| 31 – 40 | 10 |
| 41 – 50 | 16 |
| 51 – 60 | 20 |
| 61 – 70 | 14 |
| 71 – 80 | 10 |
| 81 – 90 | 6 |
| 91 – 100 | 4 |
| Total (∑f) | 90 |
The question likely asks for the mean (average) of the distribution based on the frequency data, or another summary statistic.
Calculating the Mean:
To find the mean, we need to:
- Find the midpoint for each class (the average of the lower and upper bounds for each interval).
- Multiply each midpoint by its corresponding frequency.
- Sum the results.
- Divide by the total frequency (90).
Let's calculate the midpoints and proceed with finding the mean.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean Calculation
Frequency Distribution
Formulas
Mean = (Σf * midpoint) / Σf
Midpoint = (Lower Bound + Upper Bound) / 2
Theorems
Arithmetic Mean
Suitable Grade Level
Grades 10-12
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