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

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


Answer:_______________




2)  

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 4 8 7 10 5 4 5


Answer:_______________




3)  

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 4 6 15 6 6 4


Answer:_______________




4)  

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

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


Answer:_______________




5)  

The following table shows the marks obtained by 49 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 15 7 6 4


Answer:_______________




6)  

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 2 8 6 11 5 5 3


Answer:_______________




7)  

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

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


Answer:_______________




8)  

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 4 6 8 13 5 4 4


Answer:_______________




9)  

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 5 8 15 7 3 5


Answer:_______________




10)  

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 6 15 7 4 4


Answer:_______________




 

1)  

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 5 9 14 5 5 4

Answer: 11.91


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

5

9

14

5

5

4

36

50

99

168

65

70

60

 -3

-2

-1

0

1

2

3

-12

-10

-9

0

5 

10

12

 36

20

9

0

5

20

36

 ∑f =46  ∑fx = 548 ∑d=0∑fd= -4 ∑fd2 = 126

 

Arithmetic mean

xbar

=∑ fx
=
 		548
= 
 		11.91
∑ f46

 

= 11.91

 



2)  

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 4 8 7 10 5 4 5

Answer: 9.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 10

 fdfd2

7

8

9

10

11

12

13

4

8

7

10

5

4

5

28

64

63

100

55

48

65

 -3

-2

-1

0

1

2

3

-12

-16

-7

0

5 

8

15

 36

32

7

0

5

16

45

 ∑f =43  ∑fx = 423 ∑d=0∑fd= -7 ∑fd2 = 141

 

Arithmetic mean

xbar

=∑ fx
=
 		423
= 
 		9.84
∑ f43

 

= 9.84

 



3)  

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 4 6 15 6 6 4

Answer: 13.09


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

4

4

6

15

6

6

4

40

44

72

195

84

90

64

 -3

-2

-1

0

1

2

3

-12

-8

-6

0

6 

12

12

 36

16

6

0

6

24

36

 ∑f =45  ∑fx = 589 ∑d=0∑fd= 4 ∑fd2 = 124

 

Arithmetic mean

xbar

=∑ fx
=
 		589
= 
 		13.09
∑ f45

 

= 13.09

 



4)  

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

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

Answer: 11.96


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

7

9

14

6

6

5

36

70

99

168

78

84

75

 -3

-2

-1

0

1

2

3

-12

-14

-9

0

6 

12

15

 36

28

9

0

6

24

45

 ∑f =51  ∑fx = 610 ∑d=0∑fd= -2 ∑fd2 = 148

 

Arithmetic mean

xbar

=∑ fx
=
 		610
= 
 		11.96
∑ f51

 

= 11.96

 



5)  

The following table shows the marks obtained by 49 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 15 7 6 4

Answer: 13.96


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 14

 fdfd2

11

12

13

14

15

16

17

4

8

5

15

7

6

4

44

96

65

210

105

96

68

 -3

-2

-1

0

1

2

3

-12

-16

-5

0

7 

12

12

 36

32

5

0

7

24

36

 ∑f =49  ∑fx = 684 ∑d=0∑fd= -2 ∑fd2 = 140

 

Arithmetic mean

xbar

=∑ fx
=
 		684
= 
 		13.96
∑ f49

 

= 13.96

 



6)  

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 2 8 6 11 5 5 3

Answer: 10.90


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

2

8

6

11

5

5

3

16

72

60

121

60

65

42

 -3

-2

-1

0

1

2

3

-6

-16

-6

0

5 

10

9

 18

32

6

0

5

20

27

 ∑f =40  ∑fx = 436 ∑d=0∑fd= -4 ∑fd2 = 108

 

Arithmetic mean

xbar

=∑ fx
=
 		436
= 
 		10.90
∑ f40

 

= 10.90

 



7)  

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

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

Answer: 12.79


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 13

 fdfd2

10

11

12

13

14

15

16

2

8

9

11

6

2

4

20

88

108

143

84

30

64

 -3

-2

-1

0

1

2

3

-6

-16

-9

0

6 

4

12

 18

32

9

0

6

8

36

 ∑f =42  ∑fx = 537 ∑d=0∑fd= -9 ∑fd2 = 109

 

Arithmetic mean

xbar

=∑ fx
=
 		537
= 
 		12.79
∑ f42

 

= 12.79

 



8)  

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 4 6 8 13 5 4 4

Answer: 11.84


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

4

6

8

13

5

4

4

36

60

88

156

65

56

60

 -3

-2

-1

0

1

2

3

-12

-12

-8

0

5 

8

12

 36

24

8

0

5

16

36

 ∑f =44  ∑fx = 521 ∑d=0∑fd= -7 ∑fd2 = 125

 

Arithmetic mean

xbar

=∑ fx
=
 		521
= 
 		11.84
∑ f44

 

= 11.84

 



9)  

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 5 8 15 7 3 5

Answer: 12.02


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 12

 fdfd2

9

10

11

12

13

14

15

3

5

8

15

7

3

5

27

50

88

180

91

42

75

 -3

-2

-1

0

1

2

3

-9

-10

-8

0

7 

6

15

 27

20

8

0

7

12

45

 ∑f =46  ∑fx = 553 ∑d=0∑fd= 1 ∑fd2 = 119

 

Arithmetic mean

xbar

=∑ fx
=
 		553
= 
 		12.02
∑ f46

 

= 12.02

 



10)  

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 6 15 7 4 4

Answer: 10.98


SOLUTION 1 :

 

xffx

d = x-xbar

= x - 11

 fdfd2

8

9

10

11

12

13

14

4

5

6

15

7

4

4

32

45

60

165

84

52

56

 -3

-2

-1

0

1

2

3

-12

-10

-6

0

7 

8

12

 36

20

6

0

7

16

36

 ∑f =45  ∑fx = 494 ∑d=0∑fd= -1 ∑fd2 = 121

 

Arithmetic mean

xbar

=∑ fx
=
 		494
= 
 		10.98
∑ f45

 

= 10.98