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marks.
150-140
140-130
130-120
120-110
110-100
100-90
90-80
frequency
0-12=-12
12-27=-15
27-60=-33
60-105=-45
105-127=-19
124-141=-17
141-180=-39
180-0=-180
mid value (X)
145
135
125
115
105
190
80
75
cumulative frequency
-12
-27
-60
-105
-124
-141
-180
-360
total of frequency=-360
total of cumulative frequency=-360
median=size of (N/2) th item= size of (-360/2) the item=-180.lt is included in the cumulative frequency -180 .the corresponding median class is 90 -80
using interpolation formula
median =l 1 +(N/2 -cf)/f *c
=90 + -180--141/-39 *10
=90 + -39/-39 *10
=90+10=80
so answer is : median = 80
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