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

data x 11 12 13 14 15 16 17
frequency f 4 5 6 10 6 2 4


Answer:_______________




2)  

The following table shows the marks obtained by 33 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 10 11 12 13 14 15 16
frequency f 2 4 5 11 5 3 3


Answer:_______________




3)  

The following table shows the marks obtained by 46 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 7 4 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 11 12 13 14 15 16 17
frequency f 3 6 7 13 7 6 4


Answer:_______________




5)  

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 8 10 7 4 3


Answer:_______________




6)  

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

data x 9 10 11 12 13 14 15
frequency f 4 6 9 13 5 3 5


Answer:_______________




7)  

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

data x 11 12 13 14 15 16 17
frequency f 3 7 6 10 5 5 5


Answer:_______________




8)  

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

data x 10 11 12 13 14 15 16
frequency f 3 7 9 15 5 4 3


Answer:_______________




9)  

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 8 7 14 5 2 5


Answer:_______________




10)  

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

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


Answer:_______________




 

1)  

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

data x 11 12 13 14 15 16 17
frequency f 4 5 6 10 6 2 4

Answer: 13.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

5

6

10

6

2

4

44

60

78

140

90

32

68

 -3

-2

-1

0

1

2

3

-12

-10

-6

0

6 

4

12

 36

20

6

0

6

8

36

 ∑f =37  ∑fx = 512 ∑d=0∑fd= -6 ∑fd2 = 112

 

Arithmetic mean

xbar

=∑ fx
=
 		512
= 
 		13.84
∑ f37

 

= 13.84

 



2)  

The following table shows the marks obtained by 33 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 10 11 12 13 14 15 16
frequency f 2 4 5 11 5 3 3

Answer: 13.03


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

2

4

5

11

5

3

3

20

44

60

143

70

45

48

 -3

-2

-1

0

1

2

3

-6

-8

-5

0

5 

6

9

 18

16

5

0

5

12

27

 ∑f =33  ∑fx = 430 ∑d=0∑fd= 1 ∑fd2 = 83

 

Arithmetic mean

xbar

=∑ fx
=
 		430
= 
 		13.03
∑ f33

 

= 13.03

 



3)  

The following table shows the marks obtained by 46 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 7 4 4

Answer: 9.91


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

3

7

8

13

7

4

4

21

56

72

130

77

48

52

 -3

-2

-1

0

1

2

3

-9

-14

-8

0

7 

8

12

 27

28

8

0

7

16

36

 ∑f =46  ∑fx = 456 ∑d=0∑fd= -4 ∑fd2 = 122

 

Arithmetic mean

xbar

=∑ fx
=
 		456
= 
 		9.91
∑ f46

 

= 9.91

 



4)  

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 3 6 7 13 7 6 4

Answer: 14.07


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

6

7

13

7

6

4

33

72

91

182

105

96

68

 -3

-2

-1

0

1

2

3

-9

-12

-7

0

7 

12

12

 27

24

7

0

7

24

36

 ∑f =46  ∑fx = 647 ∑d=0∑fd= 3 ∑fd2 = 125

 

Arithmetic mean

xbar

=∑ fx
=
 		647
= 
 		14.07
∑ f46

 

= 14.07

 



5)  

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 8 10 7 4 3

Answer: 11.90


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

7

8

10

7

4

3

18

70

88

120

91

56

45

 -3

-2

-1

0

1

2

3

-6

-14

-8

0

7 

8

9

 18

28

8

0

7

16

27

 ∑f =41  ∑fx = 488 ∑d=0∑fd= -4 ∑fd2 = 104

 

Arithmetic mean

xbar

=∑ fx
=
 		488
= 
 		11.90
∑ f41

 

= 11.90

 



6)  

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

data x 9 10 11 12 13 14 15
frequency f 4 6 9 13 5 3 5

Answer: 11.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

6

9

13

5

3

5

36

60

99

156

65

42

75

 -3

-2

-1

0

1

2

3

-12

-12

-9

0

5 

6

15

 36

24

9

0

5

12

45

 ∑f =45  ∑fx = 533 ∑d=0∑fd= -7 ∑fd2 = 131

 

Arithmetic mean

xbar

=∑ fx
=
 		533
= 
 		11.84
∑ f45

 

= 11.84

 



7)  

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

data x 11 12 13 14 15 16 17
frequency f 3 7 6 10 5 5 5

Answer: 14.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

7

6

10

5

5

5

33

84

78

140

75

80

85

 -3

-2

-1

0

1

2

3

-9

-14

-6

0

5 

10

15

 27

28

6

0

5

20

45

 ∑f =41  ∑fx = 575 ∑d=0∑fd= 1 ∑fd2 = 131

 

Arithmetic mean

xbar

=∑ fx
=
 		575
= 
 		14.02
∑ f41

 

= 14.02

 



8)  

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

data x 10 11 12 13 14 15 16
frequency f 3 7 9 15 5 4 3

Answer: 12.78


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

3

7

9

15

5

4

3

30

77

108

195

70

60

48

 -3

-2

-1

0

1

2

3

-9

-14

-9

0

5 

8

9

 27

28

9

0

5

16

27

 ∑f =46  ∑fx = 588 ∑d=0∑fd= -10 ∑fd2 = 112

 

Arithmetic mean

xbar

=∑ fx
=
 		588
= 
 		12.78
∑ f46

 

= 12.78

 



9)  

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 8 7 14 5 2 5

Answer: 9.82


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

3

8

7

14

5

2

5

21

64

63

140

55

24

65

 -3

-2

-1

0

1

2

3

-9

-16

-7

0

5 

4

15

 27

32

7

0

5

8

45

 ∑f =44  ∑fx = 432 ∑d=0∑fd= -8 ∑fd2 = 124

 

Arithmetic mean

xbar

=∑ fx
=
 		432
= 
 		9.82
∑ f44

 

= 9.82

 



10)  

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

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

Answer: 10.12


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

6

7

13

5

5

5

14

48

63

130

55

60

65

 -3

-2

-1

0

1

2

3

-6

-12

-7

0

5 

10

15

 18

24

7

0

5

20

45

 ∑f =43  ∑fx = 435 ∑d=0∑fd= 5 ∑fd2 = 119

 

Arithmetic mean

xbar

=∑ fx
=
 		435
= 
 		10.12
∑ f43

 

= 10.12