Statistics And Probability Question 481
Question: The following data give the distribution of heights of students:
| Height (in cm) | 160 | 150 | 152 | 152 | 161 | 154 | 155 |
| Name of students | 12 | 8 | 4 | 4 | 3 | 3 | 7 |
The median of the distribution is
Options:
A) 154
B) 155
C) 160
D) 161
Show Answer
Answer:
Correct Answer: B
Solution:
[b] 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, the total number of items is 41, i.e., an odd number. Hence, the median is $ \frac{41+1}{2} $ th i.e., 21 st item. From cumulative frequency table, we find that the median, i.e. 21 st item is 155. (All items from 16th to 22nd are equal, each 155).
BETA
