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Asked by Topperlearning User 15th November 2016, 4:08 AM
Answered by Expert
Answer:

 

 

 

 

Class interval

x

f

xf

d=|x-mean|

fd

0-10

5

5

25

22

110

10-20

15

8

120

12

96

20-30

25

15

375

2

30

30-40

35

16

560

8

128

40-50

45

6

270

18

108

total

 

50

1350

 

472

M e a n equals fraction numerator begin display style stack sum f subscript i x subscript i with i below end style over denominator begin display style sum for i of end style f subscript i end fraction equals 1350 over 50 equals 27
M e a n space D e v i a t i o n equals fraction numerator 1 over denominator sum for i of f subscript i end fraction stack sum f subscript i d subscript i with i below equals 472 over 50 equals 9.44

Class interval

x

f

cf

d=|x-median|

fd

0-10

5

5

5

20

100

10-20

15

8

13

5

40

20-30

25

15

28

0

0

30-40

35

16

44

10

160

40-50

45

6

50

20

120

total

 

50

 

 

420

N equals 50 rightwards double arrow N over 2 equals 25
T h e space c u m u l a t i v e space f r e q u e n c y space g r e a t e r space t h a n space 25 space i s space 28 space a n d space c o r r e s p o n d i n g space x space i s space 25
s o space m e d i a n space i s space 25.
M e a n space d e v i a t i o n equals fraction numerator begin display style stack sum f subscript i d subscript i with i below end style over denominator begin display style stack sum f subscript i with i below end style end fraction equals 420 over 50 equals 8.4

Answered by Expert 15th November 2016, 6:08 AM
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