Median of Grouped Data Worksheet

This worksheet helps Grade 10 students practice calculating the median for grouped data sets, including understanding cumulative frequency and median class.

Grade 10 Math Probability and StatisticsMedian of Grouped Data

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2

Topics

MathStatisticsGrouped DataMedianGrade 10

6 sections · Free to use · Printable

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Median of Grouped Data

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Read each question carefully and show all your work when calculating the median of grouped data. Remember to identify the median class, calculate the cumulative frequency, and use the appropriate formula.

1. When calculating the median for grouped data, the first step is to find the frequency.

2. The median class is the class interval where the (N/2)th observation lies, where N is the of all frequencies.

3. The formula for the median of grouped data is L + [((N/2) - cf) / f] * h, where 'L' is the lower boundary of the class.

4. Which of the following is NOT required to calculate the median of grouped data?

Cumulative frequency

Class width

Mean

Lower boundary of median class

5. If the total frequency (N) is 50, the median observation will be the:

20th observation

25th observation

30th observation

50th observation

6. The following table shows the distribution of marks obtained by 100 students in a test:

Marks | Number of Students ------------------------- 0-10 | 10 10-20 | 25 20-30 | 30 30-40 | 20 40-50 | 15

Calculate the median marks obtained by the students.

7. The median of grouped data is always equal to the mean.

True

False