Weight(in kg) | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 |
Number of students | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
Solution:
Class Interval Frequency Cumulative recurrence
40-45 2 2
45-50 3 5
50-55 8 13
55-60 6 19
60-65 6 25
65-70 3 28
70-75 2 30
Given: n = 30 and n/2= 15
\[Middle\text{ }class\text{ }=\text{ }55-60\]
l = 55, Cf = 13, f = 6 and h = 5
\[Middle\text{ }=\text{ }55+\left( \left( 15-13 \right)/6 \right)\times 5\]
\[Median=55\text{ }+\text{ }\left( 10/6 \right)\text{ }=\text{ }55+1.666\]
\[Middle\text{ }=56.67\] Subsequently, the middle load of the understudies = 56.67