The heights (in cm) of 50 students of class are given below.
Height | 156 | 154 | 155 | 151 | 157 | 152 | 153 |
No of students | 8 | 4 | 10 | 6 | 7 | 3 | 12 |
Find the median height
Height | 151 | 152 | 153 | 154 | 155 | 156 | 157 |
No of students | 6 | 3 | 12 | 4 | 10 | 8 | 7 |
Draw the cumulative frequency table;
Heights (in cm) (x) | No. of students (f) | Cumulative frequency |
151 | 6 | 6 |
152 | 3 | 9 |
153 | 12 | 21 |
154 | 4 | 25 |
155 | 10 | 35 |
156 | 8 | 43 |
157 | 7 | 50 |
N = ∑f = 50 (even)
Median = 1/2 [value of (n/2)th term + value of (n/2 + 1)th term]
⇒ Median = 1/2 [value of 25th term + value of 26th term]
⇒ Median = 1/2 [154 + 155] = 309/2 = 154.5cm