← CBSE Class 10 (age 15) Mathematics ยท Statistics

Median of Grouped Data

Practice Quiz

Q1. What does 'n' represent in the median formula?

โœ” N represents the sum of all frequencies in the grouped data table.

Q2. Which value is subtracted from n/2 in the numerator?

โœ” The cumulative frequency of the class preceding the median class is subtracted.

Q3. What does 'h' stand for in the formula?

โœ” H denotes the class width, which is the difference between upper and lower limits.
Show transcript
[Slide 1] Understanding Median in Groups
Hello students, today we find the median for grouped data. Remember, median divides your total frequency into two equal parts. We locate the class containing this middle position first.

[Slide 2] The Median Formula
Here is the standard formula you must memorize for exams. Each symbol represents a specific value from your frequency table. Practice identifying l, n, cf, f, and h correctly.

[Slide 3] Worked Example Step One
Let us solve a problem with real numbers now. We calculate total frequency and divide it by two. This value helps us locate the median class interval.

[Slide 4] Worked Example Step Two
Now substitute these values directly into the formula. Calculate the numerator and divide by the frequency. Multiply by class width to get the final answer.

[Slide 5] Avoid Common Mistakes
Students often mistake cumulative frequency for simple frequency. Always check which value belongs to the formula slot. A small error here changes your entire result.

[Slide 6] Quick Recap Points
To summarize, find the middle position first. Apply the formula accurately using table values. Consistent practice ensures high marks in statistics.