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


Answer:_______________




2)  

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

data x 7 8 9 10 11 12 13
frequency f 2 5 8 13 6 4 3


Answer:_______________




3)  

The following table shows the marks obtained by 50 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 7 6 5


Answer:_______________




4)  

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 13 5 4 3


Answer:_______________




5)  

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

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


Answer:_______________




6)  

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 4 7 5 10 7 2 4


Answer:_______________




7)  

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 5 9 12 7 4 4


Answer:_______________




8)  

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 8 7 13 5 3 5


Answer:_______________




9)  

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

data x 7 8 9 10 11 12 13
frequency f 2 5 7 14 5 3 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 10 11 12 13 14 15 16
frequency f 4 5 7 15 7 4 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 8 9 10 11 12 13 14
frequency f 2 4 7 14 6 4 5

Answer: 11.19


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

2

4

7

14

6

4

5

16

36

70

154

72

52

70

 -3

-2

-1

0

1

2

3

-6

-8

-7

0

6 

8

15

 18

16

7

0

6

16

45

 ∑f =42  ∑fx = 470 ∑d=0∑fd= 8 ∑fd2 = 108

 

Arithmetic mean

xbar

=∑ fx
=
 		470
= 
 		11.19
∑ f42

 

= 11.19

 



2)  

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

data x 7 8 9 10 11 12 13
frequency f 2 5 8 13 6 4 3

Answer: 9.98


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

5

8

13

6

4

3

14

40

72

130

66

48

39

 -3

-2

-1

0

1

2

3

-6

-10

-8

0

6 

8

9

 18

20

8

0

6

16

27

 ∑f =41  ∑fx = 409 ∑d=0∑fd= -1 ∑fd2 = 95

 

Arithmetic mean

xbar

=∑ fx
=
 		409
= 
 		9.98
∑ f41

 

= 9.98

 



3)  

The following table shows the marks obtained by 50 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 7 6 5

Answer: 12.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

6

9

13

7

6

5

36

60

99

156

91

84

75

 -3

-2

-1

0

1

2

3

-12

-12

-9

0

7 

12

15

 36

24

9

0

7

24

45

 ∑f =50  ∑fx = 601 ∑d=0∑fd= 1 ∑fd2 = 145

 

Arithmetic mean

xbar

=∑ fx
=
 		601
= 
 		12.02
∑ f50

 

= 12.02

 



4)  

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 13 5 4 3

Answer: 12.88


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

3

6

6

13

5

4

3

30

66

72

169

70

60

48

 -3

-2

-1

0

1

2

3

-9

-12

-6

0

5 

8

9

 27

24

6

0

5

16

27

 ∑f =40  ∑fx = 515 ∑d=0∑fd= -5 ∑fd2 = 105

 

Arithmetic mean

xbar

=∑ fx
=
 		515
= 
 		12.88
∑ f40

 

= 12.88

 



5)  

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

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

Answer: 9.83


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

4

5

6

14

5

2

4

28

40

54

140

55

24

52

 -3

-2

-1

0

1

2

3

-12

-10

-6

0

5 

4

12

 36

20

6

0

5

8

36

 ∑f =40  ∑fx = 393 ∑d=0∑fd= -7 ∑fd2 = 111

 

Arithmetic mean

xbar

=∑ fx
=
 		393
= 
 		9.83
∑ f40

 

= 9.83

 



6)  

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 4 7 5 10 7 2 4

Answer: 9.79


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

4

7

5

10

7

2

4

28

56

45

100

77

24

52

 -3

-2

-1

0

1

2

3

-12

-14

-5

0

7 

4

12

 36

28

5

0

7

8

36

 ∑f =39  ∑fx = 382 ∑d=0∑fd= -8 ∑fd2 = 120

 

Arithmetic mean

xbar

=∑ fx
=
 		382
= 
 		9.79
∑ f39

 

= 9.79

 



7)  

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 5 9 12 7 4 4

Answer: 10.05


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

5

9

12

7

4

4

14

40

81

120

77

48

52

 -3

-2

-1

0

1

2

3

-6

-10

-9

0

7 

8

12

 18

20

9

0

7

16

36

 ∑f =43  ∑fx = 432 ∑d=0∑fd= 2 ∑fd2 = 106

 

Arithmetic mean

xbar

=∑ fx
=
 		432
= 
 		10.05
∑ f43

 

= 10.05

 



8)  

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 8 7 13 5 3 5

Answer: 10.80


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

8

7

13

5

3

5

32

72

70

143

60

39

70

 -3

-2

-1

0

1

2

3

-12

-16

-7

0

5 

6

15

 36

32

7

0

5

12

45

 ∑f =45  ∑fx = 486 ∑d=0∑fd= -9 ∑fd2 = 137

 

Arithmetic mean

xbar

=∑ fx
=
 		486
= 
 		10.80
∑ f45

 

= 10.80

 



9)  

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

data x 7 8 9 10 11 12 13
frequency f 2 5 7 14 5 3 4

Answer: 10.00


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

2

5

7

14

5

3

4

14

40

63

140

55

36

52

 -3

-2

-1

0

1

2

3

-6

-10

-7

0

5 

6

12

 18

20

7

0

5

12

36

 ∑f =40  ∑fx = 400 ∑d=0∑fd= 0 ∑fd2 = 98

 

Arithmetic mean

xbar

=∑ fx
=
 		400
= 
 		10.00
∑ f40

 

= 10.00

 



10)  

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

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

Answer: 12.89


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

4

5

7

15

7

4

3

40

55

84

195

98

60

48

 -3

-2

-1

0

1

2

3

-12

-10

-7

0

7 

8

9

 36

20

7

0

7

16

27

 ∑f =45  ∑fx = 580 ∑d=0∑fd= -5 ∑fd2 = 113

 

Arithmetic mean

xbar

=∑ fx
=
 		580
= 
 		12.89
∑ f45

 

= 12.89