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
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, which is an odd number.
Hence, the median is th = 21st item.
From cumulative frequency table, we find that median i.e., 21st item is 155.