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

data x 9 10 11 12 13 14 15
frequency f 3 7 6 12 7 5 4


Answer:_______________




2)  

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

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


Answer:_______________




3)  

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

data x 9 10 11 12 13 14 15
frequency f 3 8 8 11 5 5 4


Answer:_______________




4)  

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

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


Answer:_______________




5)  

The following table shows the marks obtained by 48 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 3 8 5 15 7 6 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 9 10 11 12 13 14 15
frequency f 4 7 8 11 7 6 3


Answer:_______________




7)  

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

data x 11 12 13 14 15 16 17
frequency f 4 4 8 14 5 4 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 10 11 12 13 14 15 16
frequency f 3 6 8 11 6 3 3


Answer:_______________




9)  

The following table shows the marks obtained by 35 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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


Answer:_______________




10)  

The following table shows the marks obtained by 45 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 15 6 5 4


Answer:_______________




 

1)  

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

data x 9 10 11 12 13 14 15
frequency f 3 7 6 12 7 5 4

Answer: 12.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

7

6

12

7

5

4

27

70

66

144

91

70

60

 -3

-2

-1

0

1

2

3

-9

-14

-6

0

7 

10

12

 27

28

6

0

7

20

36

 ∑f =44  ∑fx = 528 ∑d=0∑fd= 0 ∑fd2 = 124

 

Arithmetic mean

xbar

=∑ fx
=
 		528
= 
 		12.00
∑ f44

 

= 12.00

 



2)  

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

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

Answer: 10.05


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

6

6

11

6

4

4

14

48

54

110

66

48

52

 -3

-2

-1

0

1

2

3

-6

-12

-6

0

6 

8

12

 18

24

6

0

6

16

36

 ∑f =39  ∑fx = 392 ∑d=0∑fd= 2 ∑fd2 = 106

 

Arithmetic mean

xbar

=∑ fx
=
 		392
= 
 		10.05
∑ f39

 

= 10.05

 



3)  

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

data x 9 10 11 12 13 14 15
frequency f 3 8 8 11 5 5 4

Answer: 11.86


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

8

8

11

5

5

4

27

80

88

132

65

70

60

 -3

-2

-1

0

1

2

3

-9

-16

-8

0

5 

10

12

 27

32

8

0

5

20

36

 ∑f =44  ∑fx = 522 ∑d=0∑fd= -6 ∑fd2 = 128

 

Arithmetic mean

xbar

=∑ fx
=
 		522
= 
 		11.86
∑ f44

 

= 11.86

 



4)  

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

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

Answer: 14.08


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

5

5

11

5

5

5

44

60

65

154

75

80

85

 -3

-2

-1

0

1

2

3

-12

-10

-5

0

5 

10

15

 36

20

5

0

5

20

45

 ∑f =40  ∑fx = 563 ∑d=0∑fd= 3 ∑fd2 = 131

 

Arithmetic mean

xbar

=∑ fx
=
 		563
= 
 		14.08
∑ f40

 

= 14.08

 



5)  

The following table shows the marks obtained by 48 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

data x 11 12 13 14 15 16 17
frequency f 3 8 5 15 7 6 4

Answer: 14.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

8

5

15

7

6

4

33

96

65

210

105

96

68

 -3

-2

-1

0

1

2

3

-9

-16

-5

0

7 

12

12

 27

32

5

0

7

24

36

 ∑f =48  ∑fx = 673 ∑d=0∑fd= 1 ∑fd2 = 131

 

Arithmetic mean

xbar

=∑ fx
=
 		673
= 
 		14.02
∑ f48

 

= 14.02

 



6)  

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

data x 9 10 11 12 13 14 15
frequency f 4 7 8 11 7 6 3

Answer: 11.87


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

7

8

11

7

6

3

36

70

88

132

91

84

45

 -3

-2

-1

0

1

2

3

-12

-14

-8

0

7 

12

9

 36

28

8

0

7

24

27

 ∑f =46  ∑fx = 546 ∑d=0∑fd= -6 ∑fd2 = 130

 

Arithmetic mean

xbar

=∑ fx
=
 		546
= 
 		11.87
∑ f46

 

= 11.87

 



7)  

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

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

Answer: 14.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

4

8

14

5

4

5

44

48

104

196

75

64

85

 -3

-2

-1

0

1

2

3

-12

-8

-8

0

5 

8

15

 36

16

8

0

5

16

45

 ∑f =44  ∑fx = 616 ∑d=0∑fd= 0 ∑fd2 = 126

 

Arithmetic mean

xbar

=∑ fx
=
 		616
= 
 		14.00
∑ f44

 

= 14.00

 



8)  

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 8 11 6 3 3

Answer: 12.80


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

3

6

8

11

6

3

3

30

66

96

143

84

45

48

 -3

-2

-1

0

1

2

3

-9

-12

-8

0

6 

6

9

 27

24

8

0

6

12

27

 ∑f =40  ∑fx = 512 ∑d=0∑fd= -8 ∑fd2 = 104

 

Arithmetic mean

xbar

=∑ fx
=
 		512
= 
 		12.80
∑ f40

 

= 12.80

 



9)  

The following table shows the marks obtained by 35 students in a Quiz competition in Mathematics. Calculate the  deviation metod.

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

Answer: 12.89


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

2

7

5

10

5

2

4

20

77

60

130

70

30

64

 -3

-2

-1

0

1

2

3

-6

-14

-5

0

5 

4

12

 18

28

5

0

5

8

36

 ∑f =35  ∑fx = 451 ∑d=0∑fd= -4 ∑fd2 = 100

 

Arithmetic mean

xbar

=∑ fx
=
 		451
= 
 		12.89
∑ f35

 

= 12.89

 



10)  

The following table shows the marks obtained by 45 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 15 6 5 4

Answer: 10.07


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

6

7

15

6

5

4

14

48

63

150

66

60

52

 -3

-2

-1

0

1

2

3

-6

-12

-7

0

6 

10

12

 18

24

7

0

6

20

36

 ∑f =45  ∑fx = 453 ∑d=0∑fd= 3 ∑fd2 = 111

 

Arithmetic mean

xbar

=∑ fx
=
 		453
= 
 		10.07
∑ f45

 

= 10.07