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Answers
5. n= 100
Median is the mean of 100/2 th and 100/2+1 th observations ,i.e , ,50 th and 51 th observations .
Median= 420+320/2
= 370
4. n = 80
Median is the mean of 80/2 th and 80/2+1 th observations ,i.e , ,50 th and 51 th observations .
Median = 153+154/2
= 153.5
3.Mean of 5 numbers=18
∴
Total = 18*5 = 90
By excluding one number, the mean of remaining 5-1=4 numbers =16
Total = 16*4 = 64
∴
Excluded number=90-64=26
2.
∑f i =120
∴ we have 120=68+f1 + f2
f1+f2 = 52 ......1
mean = mean = ∑fixi
------
∑fi
50 = 3480 + 30 f1 +70 f2 / 120
30 f1+70f2 = 6000- 3460 = 2520
3 f 1 + 7 f 2 = 252 ....2
Eq(1) ×7 = 7 f 2 + 7 f1
= 7× 542 = 364
Eq (2) 3 f1+ 7 f 2
Subtract them
4f1= 112
f 1 =28 from 1
f2 =52 −f1
=52- 28
=f2 = 24
1.Class - Interval
Cumulative Frequency (cf))
Less than 29.5
2
Less than 39.5
6
Less than 49.5
14
Less than 59.5
20
Less than 69.5
25
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