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 9 10 11 12 13 14 15
frequency f 2 5 8 12 7 3 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 9 10 11 12 13 14 15
frequency f 3 8 5 14 6 6 4


Answer:_______________




3)  

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

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


Answer:_______________




4)  

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

data x 11 12 13 14 15 16 17
frequency f 3 7 9 14 7 2 5


Answer:_______________




5)  

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 7 7 12 6 2 4


Answer:_______________




6)  

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

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


Answer:_______________




7)  

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 3 7 7 13 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 8 9 10 11 12 13 14
frequency f 3 5 7 12 7 3 3


Answer:_______________




9)  

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

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


Answer:_______________




10)  

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 3 5 7 11 5 3 3


Answer:_______________




 

1)  

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 5 8 12 7 3 4

Answer: 12.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

5

8

12

7

3

4

18

50

88

144

91

42

60

 -3

-2

-1

0

1

2

3

-6

-10

-8

0

7 

6

12

 18

20

8

0

7

12

36

 ∑f =41  ∑fx = 493 ∑d=0∑fd= 1 ∑fd2 = 101

 

Arithmetic mean

xbar

=∑ fx
=
 		493
= 
 		12.02
∑ f41

 

= 12.02

 



2)  

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 3 8 5 14 6 6 4

Answer: 12.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

8

5

14

6

6

4

27

80

55

168

78

84

60

 -3

-2

-1

0

1

2

3

-9

-16

-5

0

6 

12

12

 27

32

5

0

6

24

36

 ∑f =46  ∑fx = 552 ∑d=0∑fd= 0 ∑fd2 = 130

 

Arithmetic mean

xbar

=∑ fx
=
 		552
= 
 		12.00
∑ f46

 

= 12.00

 



3)  

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

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

Answer: 12.96


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

4

7

8

13

5

6

5

40

77

96

169

70

90

80

 -3

-2

-1

0

1

2

3

-12

-14

-8

0

5 

12

15

 36

28

8

0

5

24

45

 ∑f =48  ∑fx = 622 ∑d=0∑fd= -2 ∑fd2 = 146

 

Arithmetic mean

xbar

=∑ fx
=
 		622
= 
 		12.96
∑ f48

 

= 12.96

 



4)  

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

data x 11 12 13 14 15 16 17
frequency f 3 7 9 14 7 2 5

Answer: 13.87


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

7

9

14

7

2

5

33

84

117

196

105

32

85

 -3

-2

-1

0

1

2

3

-9

-14

-9

0

7 

4

15

 27

28

9

0

7

8

45

 ∑f =47  ∑fx = 652 ∑d=0∑fd= -6 ∑fd2 = 124

 

Arithmetic mean

xbar

=∑ fx
=
 		652
= 
 		13.87
∑ f47

 

= 13.87

 



5)  

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 7 7 12 6 2 4

Answer: 13.74


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

7

7

12

6

2

4

44

84

91

168

90

32

68

 -3

-2

-1

0

1

2

3

-12

-14

-7

0

6 

4

12

 36

28

7

0

6

8

36

 ∑f =42  ∑fx = 577 ∑d=0∑fd= -11 ∑fd2 = 121

 

Arithmetic mean

xbar

=∑ fx
=
 		577
= 
 		13.74
∑ f42

 

= 13.74

 



6)  

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

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

Answer: 12.91


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

3

8

8

12

7

5

4

30

88

96

156

98

75

64

 -3

-2

-1

0

1

2

3

-9

-16

-8

0

7 

10

12

 27

32

8

0

7

20

36

 ∑f =47  ∑fx = 607 ∑d=0∑fd= -4 ∑fd2 = 130

 

Arithmetic mean

xbar

=∑ fx
=
 		607
= 
 		12.91
∑ f47

 

= 12.91

 



7)  

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 3 7 7 13 6 5 5

Answer: 12.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

7

7

13

6

5

5

27

70

77

156

78

70

75

 -3

-2

-1

0

1

2

3

-9

-14

-7

0

6 

10

15

 27

28

7

0

6

20

45

 ∑f =46  ∑fx = 553 ∑d=0∑fd= 1 ∑fd2 = 133

 

Arithmetic mean

xbar

=∑ fx
=
 		553
= 
 		12.02
∑ f46

 

= 12.02

 



8)  

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 3 5 7 12 7 3 3

Answer: 10.90


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

3

5

7

12

7

3

3

24

45

70

132

84

39

42

 -3

-2

-1

0

1

2

3

-9

-10

-7

0

7 

6

9

 27

20

7

0

7

12

27

 ∑f =40  ∑fx = 436 ∑d=0∑fd= -4 ∑fd2 = 100

 

Arithmetic mean

xbar

=∑ fx
=
 		436
= 
 		10.90
∑ f40

 

= 10.90

 



9)  

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

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

Answer: 12.14


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

2

5

5

12

5

3

5

18

50

55

144

65

42

75

 -3

-2

-1

0

1

2

3

-6

-10

-5

0

5 

6

15

 18

20

5

0

5

12

45

 ∑f =37  ∑fx = 449 ∑d=0∑fd= 5 ∑fd2 = 105

 

Arithmetic mean

xbar

=∑ fx
=
 		449
= 
 		12.14
∑ f37

 

= 12.14

 



10)  

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 3 5 7 11 5 3 3

Answer: 13.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

3

5

7

11

5

3

3

33

60

91

154

75

48

51

 -3

-2

-1

0

1

2

3

-9

-10

-7

0

5 

6

9

 27

20

7

0

5

12

27

 ∑f =37  ∑fx = 512 ∑d=0∑fd= -6 ∑fd2 = 98

 

Arithmetic mean

xbar

=∑ fx
=
 		512
= 
 		13.84
∑ f37

 

= 13.84