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Answers
Answer:
Given distribution
Class-interval 0−5 5−10 10−15 15−20 20−25 25−30
Frequency 5 3 9 10 8 5
Now we can prepare a table for calculating median
Class-interval Frequency Cumulative frequency
0−5 5 5
5−10 3 5+3=8
10−15 9 8+9=17(c.l)
15−20 10 17+10=27
20−25 8 27+8=35
25−30 5 35+5=40
N=40
⇒N/2=40/2=20
then the median class;
15−20
Lowest limit(l)=15
Class width(h)=5
Frequency(f)=10
and c.f= preceding cumulative frequency of median class
=median
=l+(
f
N/2−c.f
)×h
=15+(
10
20−17
)×15
=15+
10
3×5
=15+
10
15
Median=15+1.5=16.5.
Step-by-step explanation:
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Answer:
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