Mathematics
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
Measures of Central Tendency
3 Likes
Answer
Cumulative frequency distribution table is as follows :
| Diameter of heart (in mm) | Number of persons | Cumulative frequency |
|---|---|---|
| 120 | 5 | 5 |
| 121 | 9 | 14 (5 + 9) |
| 122 | 14 | 28 (14 + 14) |
| 123 | 8 | 36 (28 + 8) |
| 124 | 5 | 41 (36 + 5) |
| 125 | 9 | 50 (41 + 9) |
Here n = 50, which is even.
By formula,
Median =
Since, all observations from 25th to 26th corresponds to 122 mm.
Hence, Option 1 is the correct option.
Answered By
2 Likes
Related Questions
The median of 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is :
-1.5
0
2
3.5
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:
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
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