Median of Grouped Data Worksheet
Calculate the median of grouped frequency distribution data with this Grade 9 math worksheet.
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Median of Grouped Data
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Read each question carefully and show all your working for calculating the median of the grouped data.
1. The following table shows the distribution of marks obtained by 100 students in a test. Calculate the median mark.
Marks | Number of Students
0-10 | 10
10-20 | 25
20-30 | 35
30-40 | 20
40-50 | 10
2. The data below represents the heights (in cm) of 50 plants. Find the median height.
Height (cm) | Number of Plants
20-30 | 5
30-40 | 12
40-50 | 18
50-60 | 10
60-70 | 5
3. The formula for the median of grouped data is: Median = L + [((N/2) - CF) / F] * H. In this formula, 'L' represents the of the median class.
4. 'CF' stands for the frequency of the class preceding the median class.
5. 'H' represents the of the median class.
6. Which of the following is the first step in calculating the median for grouped data?
Find the cumulative frequency
Identify the median class
Calculate N/2
Determine the class width
7. The median is always one of the values in the given data set.
True
False
8. A survey was conducted on the ages of 80 people. The results are shown in the frequency distribution table below. Calculate the median age.
Age (years) | Number of People
10-20 | 12
20-30 | 18
30-40 | 25
40-50 | 15
50-60 | 10