Posted by
Anjali Kaur
on
Jul 24, 2021
Finding missing Frequency in case of Median
Finding missing frequency in the case of the median involves, using the median formula as median will be given in the question. Then the application of the formula will be helpful.
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Solved Question
Find the missing frequency of the group 20-30 when the median is 28.
| Class Interval | Frequency |
|---|---|
| 0-10 | 5 |
| 10-20 | 8 |
| 20-30 | ? |
| 30-40 | 16 |
| 40-50 | 6 |
Solution.
In this question median is given to us as 28, this means the median class is 20-30.
Rewrite the above table and find cf.
| Class Interval | Frequency | Cumulative Frequency |
|---|---|---|
| 0-10 | 5 | 5 |
| 10-20 | 8 | 5+8 = 13* |
| 20-30* | F1* | 13 + F1 |
| 30-40 | 16 | 29 +F1 |
| 40-50 | 6 | 35 + F1 |
| 35 + F1 |
Using the median formula;
We have a median, lower limit
28 = 20 + {(35+F1/2) – 13} X 10 / F1
28- 20 = {(35+F1/2) – 13} X 10 / F1
So, missing frequency is 15.
I hope it was helpful, you can refer to more posts related to the statistics.
- Individual Series Arithmetic Mean
- Discrete Series Arithmetic Mean
- Continuous Series Arithmetic Mean
- Inclusive and Exclusive Series – Arithmetic mean
- Introduction to the statistics.
- Functions and importance of statistics.
- Calculating Correct Arithmetic mean
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