Mathematics
Consider the following table:
| Class | Frequency |
|---|---|
| 0 - 5 | 8 |
| 5 - 10 | 10 |
| 10 - 15 | 19 |
| 15 - 20 | 25 |
| 20 - 25 | 8 |
The upper limit of the median class is :
10
15
20
25
Measures of Central Tendency
1 Like
Answer
We construct the cumulative frequency distribution table as under :
| Class | Frequency | Cumulative frequency |
|---|---|---|
| 0 - 5 | 8 | 8 |
| 5 - 10 | 10 | 18 (10 + 8) |
| 10 - 15 | 19 | 37 (18 + 19) |
| 15 - 20 | 25 | 62 (37 + 25) |
| 20 - 25 | 8 | 70 (62 + 8) |
Here n = 70, which is even.
By formula,
Median =
As observation from 19th to 37th lies in the class 10 - 15
∴ Median class = 10 - 15, with upper limit = 15
Hence, Option 2 is the correct option.
Answered By
1 Like
Related Questions
The median of the following data is:
x f 10 2 20 3 30 2 40 3 50 1 30
31
35
40
Consider the following table :
Diameter of heart (in mm) Number of persons 120 5 121 9 122 14 123 8 124 5 125 9 The median of the above frequency distribution is :
122 mm
122.5 mm
122.75 mm
123 mm
The marks secured (out of 10) by a student in 15 unit tests are as follows:
5, 4, 7, 5, 8, 8, 8, 5, 7, 9, 8, 7, 9, 10, 8
The mode of the above data is :
5
7
8
10
Average value of the median of 2, 8, 3, 7, 4, 6, 1 and the mode of 2, 9, 3, 4, 9, 6, 9 is:
6
6.5
8
9