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

data x 7 8 9 10 11 12 13
frequency f 2 4 7 14 5 6 4


Answer:_______________




2)  

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 3 8 5 15 6 6 3


Answer:_______________




3)  

The following table shows the marks obtained by 49 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 7 8 15 7 6 3


Answer:_______________




4)  

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 2 8 7 11 6 4 3


Answer:_______________




5)  

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 7 13 7 5 3


Answer:_______________




6)  

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

data x 11 12 13 14 15 16 17
frequency f 4 8 5 14 6 2 3


Answer:_______________




7)  

The following table shows the marks obtained by 45 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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


Answer:_______________




8)  

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

data x 10 11 12 13 14 15 16
frequency f 2 6 5 12 7 5 4


Answer:_______________




9)  

The following table shows the marks obtained by 51 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 3 8 8 15 7 6 4


Answer:_______________




10)  

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

data x 9 10 11 12 13 14 15
frequency f 2 7 6 14 7 2 3


Answer:_______________




 

1)  

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

data x 7 8 9 10 11 12 13
frequency f 2 4 7 14 5 6 4

Answer: 10.19


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

4

7

14

5

6

4

14

32

63

140

55

72

52

 -3

-2

-1

0

1

2

3

-6

-8

-7

0

5 

12

12

 18

16

7

0

5

24

36

 ∑f =42  ∑fx = 428 ∑d=0∑fd= 8 ∑fd2 = 106

 

Arithmetic mean

xbar

=∑ fx
=
 		428
= 
 		10.19
∑ f42

 

= 10.19

 



2)  

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 3 8 5 15 6 6 3

Answer: 10.93


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

3

8

5

15

6

6

3

24

72

50

165

72

78

42

 -3

-2

-1

0

1

2

3

-9

-16

-5

0

6 

12

9

 27

32

5

0

6

24

27

 ∑f =46  ∑fx = 503 ∑d=0∑fd= -3 ∑fd2 = 121

 

Arithmetic mean

xbar

=∑ fx
=
 		503
= 
 		10.93
∑ f46

 

= 10.93

 



3)  

The following table shows the marks obtained by 49 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 8 9 10 11 12 13 14
frequency f 3 7 8 15 7 6 3

Answer: 10.94


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

3

7

8

15

7

6

3

24

63

80

165

84

78

42

 -3

-2

-1

0

1

2

3

-9

-14

-8

0

7 

12

9

 27

28

8

0

7

24

27

 ∑f =49  ∑fx = 536 ∑d=0∑fd= -3 ∑fd2 = 121

 

Arithmetic mean

xbar

=∑ fx
=
 		536
= 
 		10.94
∑ f49

 

= 10.94

 



4)  

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 2 8 7 11 6 4 3

Answer: 10.85


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

2

8

7

11

6

4

3

16

72

70

121

72

52

42

 -3

-2

-1

0

1

2

3

-6

-16

-7

0

6 

8

9

 18

32

7

0

6

16

27

 ∑f =41  ∑fx = 445 ∑d=0∑fd= -6 ∑fd2 = 106

 

Arithmetic mean

xbar

=∑ fx
=
 		445
= 
 		10.85
∑ f41

 

= 10.85

 



5)  

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 7 13 7 5 3

Answer: 9.98


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

7

7

13

7

5

3

14

56

63

130

77

60

39

 -3

-2

-1

0

1

2

3

-6

-14

-7

0

7 

10

9

 18

28

7

0

7

20

27

 ∑f =44  ∑fx = 439 ∑d=0∑fd= -1 ∑fd2 = 107

 

Arithmetic mean

xbar

=∑ fx
=
 		439
= 
 		9.98
∑ f44

 

= 9.98

 



6)  

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

data x 11 12 13 14 15 16 17
frequency f 4 8 5 14 6 2 3

Answer: 13.67


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

8

5

14

6

2

3

44

96

65

196

90

32

51

 -3

-2

-1

0

1

2

3

-12

-16

-5

0

6 

4

9

 36

32

5

0

6

8

27

 ∑f =42  ∑fx = 574 ∑d=0∑fd= -14 ∑fd2 = 114

 

Arithmetic mean

xbar

=∑ fx
=
 		574
= 
 		13.67
∑ f42

 

= 13.67

 



7)  

The following table shows the marks obtained by 45 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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

Answer: 11.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

5

8

12

6

6

4

32

45

80

132

72

78

56

 -3

-2

-1

0

1

2

3

-12

-10

-8

0

6 

12

12

 36

20

8

0

6

24

36

 ∑f =45  ∑fx = 495 ∑d=0∑fd= 0 ∑fd2 = 130

 

Arithmetic mean

xbar

=∑ fx
=
 		495
= 
 		11.00
∑ f45

 

= 11.00

 



8)  

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

data x 10 11 12 13 14 15 16
frequency f 2 6 5 12 7 5 4

Answer: 13.15


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

2

6

5

12

7

5

4

20

66

60

156

98

75

64

 -3

-2

-1

0

1

2

3

-6

-12

-5

0

7 

10

12

 18

24

5

0

7

20

36

 ∑f =41  ∑fx = 539 ∑d=0∑fd= 6 ∑fd2 = 110

 

Arithmetic mean

xbar

=∑ fx
=
 		539
= 
 		13.15
∑ f41

 

= 13.15

 



9)  

The following table shows the marks obtained by 51 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 3 8 8 15 7 6 4

Answer: 13.96


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

8

8

15

7

6

4

33

96

104

210

105

96

68

 -3

-2

-1

0

1

2

3

-9

-16

-8

0

7 

12

12

 27

32

8

0

7

24

36

 ∑f =51  ∑fx = 712 ∑d=0∑fd= -2 ∑fd2 = 134

 

Arithmetic mean

xbar

=∑ fx
=
 		712
= 
 		13.96
∑ f51

 

= 13.96

 



10)  

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

data x 9 10 11 12 13 14 15
frequency f 2 7 6 14 7 2 3

Answer: 11.85


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

7

6

14

7

2

3

18

70

66

168

91

28

45

 -3

-2

-1

0

1

2

3

-6

-14

-6

0

7 

4

9

 18

28

6

0

7

8

27

 ∑f =41  ∑fx = 486 ∑d=0∑fd= -6 ∑fd2 = 94

 

Arithmetic mean

xbar

=∑ fx
=
 		486
= 
 		11.85
∑ f41

 

= 11.85