Statistics And Probability Question 188
Question: The following data gives the distribution of height of students
| Height(in cm) | 160 | 150 | 152 | 161 | 156 | 154 | 155 |
|---|---|---|---|---|---|---|---|
| Number of students | 12 | 8 | 4 | 4 | 3 | 3 | 7 |
The median of the distribution is [AMU 1994]
Options:
A) 154
B) 155
C) 160
D) 161
Show Answer
Answer:
Correct Answer: B
Solution:
Arranging the data in ascending order of magnitude, we obtain
| Height(in cm) | 150 | 152 | 154 | 155 | 156 | 160 | 161 |
|---|---|---|---|---|---|---|---|
| Number of students | 8 | 4 | 3 | 7 | 3 | 12 | 4 |
| Cumulative frequency | 8 | 12 | 15 | 22 | 25 | 37 | 41 |
Here, total number of items is 41 i.e., an odd number.
Hence, the median is $ \frac{41+1}{2} $ th i.e., 21st item.
From cumulative frequency table, we find that median i.e., 21st item is 155, (All items from 16 to 22nd are equal, each 155).
BETA
