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 39 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 2 5 7 11 5 5 4


Answer:_______________




2)  

The following table shows the marks obtained by 42 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 3 5 9 13 7 2 3


Answer:_______________




3)  

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 2 5 5 14 5 2 4


Answer:_______________




4)  

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

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


Answer:_______________




5)  

The following table shows the marks obtained by 42 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 4 8 5 12 5 4 4


Answer:_______________




6)  

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

data x 10 11 12 13 14 15 16
frequency f 3 6 6 15 5 2 3


Answer:_______________




7)  

The following table shows the marks obtained by 43 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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


Answer:_______________




8)  

The following table shows the marks obtained by 47 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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


Answer:_______________




9)  

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 4 5 7 10 7 6 5


Answer:_______________




10)  

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 4 7 12 6 2 5


Answer:_______________




 

1)  

The following table shows the marks obtained by 39 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 2 5 7 11 5 5 4

Answer: 12.10


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

5

7

11

5

5

4

18

50

77

132

65

70

60

 -3

-2

-1

0

1

2

3

-6

-10

-7

0

5 

10

12

 18

20

7

0

5

20

36

 ∑f =39  ∑fx = 472 ∑d=0∑fd= 4 ∑fd2 = 106

 

Arithmetic mean

xbar

=∑ fx
=
 		472
= 
 		12.10
∑ f39

 

= 12.10

 



2)  

The following table shows the marks obtained by 42 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 3 5 9 13 7 2 3

Answer: 11.81


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

5

9

13

7

2

3

27

50

99

156

91

28

45

 -3

-2

-1

0

1

2

3

-9

-10

-9

0

7 

4

9

 27

20

9

0

7

8

27

 ∑f =42  ∑fx = 496 ∑d=0∑fd= -8 ∑fd2 = 98

 

Arithmetic mean

xbar

=∑ fx
=
 		496
= 
 		11.81
∑ f42

 

= 11.81

 



3)  

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 2 5 5 14 5 2 4

Answer: 10.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

5

5

14

5

2

4

14

40

45

140

55

24

52

 -3

-2

-1

0

1

2

3

-6

-10

-5

0

5 

4

12

 18

20

5

0

5

8

36

 ∑f =37  ∑fx = 370 ∑d=0∑fd= 0 ∑fd2 = 92

 

Arithmetic mean

xbar

=∑ fx
=
 		370
= 
 		10.00
∑ f37

 

= 10.00

 



4)  

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

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

Answer: 10.78


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

2

8

9

15

6

3

3

16

72

90

165

72

39

42

 -3

-2

-1

0

1

2

3

-6

-16

-9

0

6 

6

9

 18

32

9

0

6

12

27

 ∑f =46  ∑fx = 496 ∑d=0∑fd= -10 ∑fd2 = 104

 

Arithmetic mean

xbar

=∑ fx
=
 		496
= 
 		10.78
∑ f46

 

= 10.78

 



5)  

The following table shows the marks obtained by 42 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 9 10 11 12 13 14 15
frequency f 4 8 5 12 5 4 4

Answer: 11.81


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

8

5

12

5

4

4

36

80

55

144

65

56

60

 -3

-2

-1

0

1

2

3

-12

-16

-5

0

5 

8

12

 36

32

5

0

5

16

36

 ∑f =42  ∑fx = 496 ∑d=0∑fd= -8 ∑fd2 = 130

 

Arithmetic mean

xbar

=∑ fx
=
 		496
= 
 		11.81
∑ f42

 

= 11.81

 



6)  

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

data x 10 11 12 13 14 15 16
frequency f 3 6 6 15 5 2 3

Answer: 12.78


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

3

6

6

15

5

2

3

30

66

72

195

70

30

48

 -3

-2

-1

0

1

2

3

-9

-12

-6

0

5 

4

9

 27

24

6

0

5

8

27

 ∑f =40  ∑fx = 511 ∑d=0∑fd= -9 ∑fd2 = 97

 

Arithmetic mean

xbar

=∑ fx
=
 		511
= 
 		12.78
∑ f40

 

= 12.78

 



7)  

The following table shows the marks obtained by 43 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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

Answer: 14.09


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

6

5

11

6

6

5

44

72

65

154

90

96

85

 -3

-2

-1

0

1

2

3

-12

-12

-5

0

6 

12

15

 36

24

5

0

6

24

45

 ∑f =43  ∑fx = 606 ∑d=0∑fd= 4 ∑fd2 = 140

 

Arithmetic mean

xbar

=∑ fx
=
 		606
= 
 		14.09
∑ f43

 

= 14.09

 



8)  

The following table shows the marks obtained by 47 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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

Answer: 10.87


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

8

8

12

5

5

5

32

72

80

132

60

65

70

 -3

-2

-1

0

1

2

3

-12

-16

-8

0

5 

10

15

 36

32

8

0

5

20

45

 ∑f =47  ∑fx = 511 ∑d=0∑fd= -6 ∑fd2 = 146

 

Arithmetic mean

xbar

=∑ fx
=
 		511
= 
 		10.87
∑ f47

 

= 10.87

 



9)  

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 4 5 7 10 7 6 5

Answer: 11.11


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

5

7

10

7

6

5

32

45

70

110

84

78

70

 -3

-2

-1

0

1

2

3

-12

-10

-7

0

7 

12

15

 36

20

7

0

7

24

45

 ∑f =44  ∑fx = 489 ∑d=0∑fd= 5 ∑fd2 = 139

 

Arithmetic mean

xbar

=∑ fx
=
 		489
= 
 		11.11
∑ f44

 

= 11.11

 



10)  

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 4 7 12 6 2 5

Answer: 12.11


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

4

7

12

6

2

5

18

40

77

144

78

28

75

 -3

-2

-1

0

1

2

3

-6

-8

-7

0

6 

4

15

 18

16

7

0

6

8

45

 ∑f =38  ∑fx = 460 ∑d=0∑fd= 4 ∑fd2 = 100

 

Arithmetic mean

xbar

=∑ fx
=
 		460
= 
 		12.11
∑ f38

 

= 12.11