Median of Grouped Data Worksheet
This worksheet helps Grade 12 students understand and calculate the median for grouped data using frequency distribution tables.
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Median of Grouped Data
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Read each question carefully and show all your work. Use the provided frequency distribution tables to calculate the median for the grouped data.
1. Explain in your own words why we use a specific formula to calculate the median for grouped data, instead of simply finding the middle value as we would for ungrouped data.
Use the following frequency distribution table to answer the questions below.
Class Interval | Frequency (f)
-------------- | -------------
10 - 20 | 5
20 - 30 | 12
30 - 40 | 15
40 - 50 | 8
50 - 60 | 3
2. What is the cumulative frequency for the class interval 30 - 40?
3. Identify the median class for this data.
4. Calculate the median of the grouped data.
5. Which of the following is NOT a component of the median formula for grouped data?
Lower boundary of the median class
Frequency of the median class
Mean of the data set
Class width
The following table shows the scores of 50 students in a math test.
Scores | Number of Students (f)
------- | ----------------------
0-10 | 3
10-20 | 7
20-30 | 15
30-40 | 12
40-50 | 8
50-60 | 5
6. Construct a cumulative frequency table for the given data.
7. Calculate the median score of the students.