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Question

Find the median weight of the students in the following data by ogive curves.

Weight (in Kg)<45<50<55<60<65<70<75
No. of Students251319252830

A
61.55
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B
56.67
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C
40.86
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D
none
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Solution

The correct option is B 56.67

Now, we are going to form less than frequency table :

Weight c.f
Less than 45 2
Less than 50 5
Less than 55 13
Less than 60 19
Less than 65 25
Less than 70 28
Less than 75 30
We have on xaxis = weight of students and on yaxis = number of students.
N=30 Then, 302=15
Now, we are going to draw a horizontal line from 15 at yaxis, then the point at which it touches curve from there we are going to draw vertical line to the x-axis.
The point at which it touches xaxis is median.
Median=56.67


1218645_1054568_ans_af31f529fc4b467686df30522fec49d8.jpeg

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