Scroll:Statistics >> Deviation method >> saq (4243)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

The following table shows the marks obtained by 41 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 8 6 11 6 3 4


Answer:_______________




2)  

The following table shows the marks obtained by 38 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 2 5 8 11 6 3 3


Answer:_______________




3)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 2 7 9 10 5 6 5


Answer:_______________




4)  

The following table shows the marks obtained by 37 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 4 5 6 10 6 2 4


Answer:_______________




5)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 3 6 6 12 6 3 4


Answer:_______________




6)  

The following table shows the marks obtained by 46 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 4 8 8 11 6 4 5


Answer:_______________




7)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 6 9 10 6 5 5


Answer:_______________




8)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 2 5 5 11 6 6 5


Answer:_______________




9)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 4 5 6 14 5 2 4


Answer:_______________




10)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 3 7 8 13 6 2 5


Answer:_______________




 

1)  

The following table shows the marks obtained by 41 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 8 6 11 6 3 4

Answer: 10.83


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

3

8

6

11

6

3

4

24

72

60

121

72

39

56

 -3

-2

-1

0

1

2

3

-9

-16

-6

0

6 

6

12

 27

32

6

0

6

12

36

 ∑f =41  ∑fx = 444 ∑d=0∑fd= -7 ∑fd2 = 119

 

Arithmetic mean

xbar

=∑ fx
=
 		444
= 
 		10.83
∑ f41

 

= 10.83

 



2)  

The following table shows the marks obtained by 38 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 2 5 8 11 6 3 3

Answer: 11.92


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

5

8

11

6

3

3

18

50

88

132

78

42

45

 -3

-2

-1

0

1

2

3

-6

-10

-8

0

6 

6

9

 18

20

8

0

6

12

27

 ∑f =38  ∑fx = 453 ∑d=0∑fd= -3 ∑fd2 = 91

 

Arithmetic mean

xbar

=∑ fx
=
 		453
= 
 		11.92
∑ f38

 

= 11.92

 



3)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 2 7 9 10 5 6 5

Answer: 10.07


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

7

9

10

5

6

5

14

56

81

100

55

72

65

 -3

-2

-1

0

1

2

3

-6

-14

-9

0

5 

12

15

 18

28

9

0

5

24

45

 ∑f =44  ∑fx = 443 ∑d=0∑fd= 3 ∑fd2 = 129

 

Arithmetic mean

xbar

=∑ fx
=
 		443
= 
 		10.07
∑ f44

 

= 10.07

 



4)  

The following table shows the marks obtained by 37 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 4 5 6 10 6 2 4

Answer: 9.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

4

5

6

10

6

2

4

28

40

54

100

66

24

52

 -3

-2

-1

0

1

2

3

-12

-10

-6

0

6 

4

12

 36

20

6

0

6

8

36

 ∑f =37  ∑fx = 364 ∑d=0∑fd= -6 ∑fd2 = 112

 

Arithmetic mean

xbar

=∑ fx
=
 		364
= 
 		9.84
∑ f37

 

= 9.84

 



5)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 3 6 6 12 6 3 4

Answer: 11.93


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

6

6

12

6

3

4

27

60

66

144

78

42

60

 -3

-2

-1

0

1

2

3

-9

-12

-6

0

6 

6

12

 27

24

6

0

6

12

36

 ∑f =40  ∑fx = 477 ∑d=0∑fd= -3 ∑fd2 = 111

 

Arithmetic mean

xbar

=∑ fx
=
 		477
= 
 		11.93
∑ f40

 

= 11.93

 



6)  

The following table shows the marks obtained by 46 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 4 8 8 11 6 4 5

Answer: 13.85


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

8

8

11

6

4

5

44

96

104

154

90

64

85

 -3

-2

-1

0

1

2

3

-12

-16

-8

0

6 

8

15

 36

32

8

0

6

16

45

 ∑f =46  ∑fx = 637 ∑d=0∑fd= -7 ∑fd2 = 143

 

Arithmetic mean

xbar

=∑ fx
=
 		637
= 
 		13.85
∑ f46

 

= 13.85

 



7)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 6 9 10 6 5 5

Answer: 11.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

3

6

9

10

6

5

5

24

54

90

110

72

65

70

 -3

-2

-1

0

1

2

3

-9

-12

-9

0

6 

10

15

 27

24

9

0

6

20

45

 ∑f =44  ∑fx = 485 ∑d=0∑fd= 1 ∑fd2 = 131

 

Arithmetic mean

xbar

=∑ fx
=
 		485
= 
 		11.02
∑ f44

 

= 11.02

 



8)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 2 5 5 11 6 6 5

Answer: 10.30


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

5

5

11

6

6

5

14

40

45

110

66

72

65

 -3

-2

-1

0

1

2

3

-6

-10

-5

0

6 

12

15

 18

20

5

0

6

24

45

 ∑f =40  ∑fx = 412 ∑d=0∑fd= 12 ∑fd2 = 118

 

Arithmetic mean

xbar

=∑ fx
=
 		412
= 
 		10.30
∑ f40

 

= 10.30

 



9)  

The following table shows the marks obtained by 40 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 4 5 6 14 5 2 4

Answer: 10.83


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

5

6

14

5

2

4

32

45

60

154

60

26

56

 -3

-2

-1

0

1

2

3

-12

-10

-6

0

5 

4

12

 36

20

6

0

5

8

36

 ∑f =40  ∑fx = 433 ∑d=0∑fd= -7 ∑fd2 = 111

 

Arithmetic mean

xbar

=∑ fx
=
 		433
= 
 		10.83
∑ f40

 

= 10.83

 



10)  

The following table shows the marks obtained by 44 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 7 8 9 10 11 12 13
frequency f 3 7 8 13 6 2 5

Answer: 9.86


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

3

7

8

13

6

2

5

21

56

72

130

66

24

65

 -3

-2

-1

0

1

2

3

-9

-14

-8

0

6 

4

15

 27

28

8

0

6

8

45

 ∑f =44  ∑fx = 434 ∑d=0∑fd= -6 ∑fd2 = 122

 

Arithmetic mean

xbar

=∑ fx
=
 		434
= 
 		9.86
∑ f44

 

= 9.86