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
Text Solution
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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 
th i.e., 21 st item.
From cumulative frequency table, we find that median
i.e., 21 st item is 155,
(All items from 16 to 22 nd are equal, each 155).
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