NumericalModerate1.5 marks
8(ii)
For the given frequency distribution, find the:
median
Topic: Mean / median / mode / quartiles
Previous-year question practice database
Answer
Exam answer
| x | f | Cumulative frequency |
|---|---|---|
| 10 | 3 | 3 |
| 11 | 2 | 5 |
| 12 | 2 | 7 |
| 13 | 6 | 13 |
| 14 | 3 | 16 |
| 15 | 5 | 21 |
| 16 | 3 | 24 |
| Total | Σf = 24 |
For 24 observations, median is the average of the 12th and 13th observations. Both lie at x = 13.
Median = (13+13)/2 = 13.
Answer: 13.
Explanation
Use cumulative frequency to locate the 12th and 13th observations.
More from Measure of Central Tendency (Mean, Median, Quartiles and Mode)
Rakhi’s mobile number has the following integers :
1, 6, 9, 8, 9, 1, 7, 8, 9
The mode of the above given data is :2026Find the mean of the following frequency distribution using step-deviation method.
Take assumed mean = 282026Assertion (A): The mean of first 9 natural numbers is 4.5.
Statement 2: Mean = Sum of all observations / Total number of observations2025mean, to the nearest whole number2025the total number of workers.2025the median class.2025