Math Problem Statement
Solution
The table shows data with values ("Nilai") and their corresponding frequencies ("Frekuensi"). To calculate the median, we need to follow these steps:
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Identify the total number of data points: The total number of data points is the sum of the frequencies:
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Determine the position of the median: Since there are 20 data points (an even number), the median will be the average of the 10th and 11th values when the data is arranged in order.
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Find the cumulative frequency:
- Cumulative frequency for value 10:
- Cumulative frequency for value 15:
- Cumulative frequency for value 20:
The 10th and 11th data points fall within the cumulative frequency of 15, meaning they correspond to the value of 20.
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Conclusion: The median value is 20.
Thus, the correct answer is c. 20.
Do you want more details or have any questions?
Here are 5 related questions:
- How do you calculate the mean of this dataset?
- What is the mode of the given dataset?
- How would the median change if the frequency of 30 was increased?
- Can you explain the difference between median and mean in a dataset?
- How do you find the range of the data values?
Tip: The median is a measure of central tendency that is less affected by extreme values compared to the mean.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Cumulative Frequency
Formulas
Median position in an ordered dataset: (n + 1)/2 for odd datasets or average of n/2 and (n/2) + 1 positions for even datasets
Theorems
Median is the middle value in an ordered data set or the average of the two middle values in an even-sized data set
Suitable Grade Level
Grades 7-9
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