Scroll:statistics >> standard deviation >> saq (4238)

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)  

 Using assumed mean method find the mean weight of 59 students using the data given below.

weight in kg 40 47 56 58 65
No. of students 18 16 13 9 3


 


Answer:_______________




2)  

 Using assumed mean method find the mean weight of 55 students using the data given below.

weight in kg 43 47 54 59 65
No. of students 17 14 11 8 5


 


Answer:_______________




3)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 43 50 54 59 64
No. of students 18 16 12 8 3


 


Answer:_______________




4)  

 Using assumed mean method find the mean weight of 55 students using the data given below.

weight in kg 40 50 54 57 63
No. of students 18 16 11 7 3


 


Answer:_______________




5)  

 Using assumed mean method find the mean weight of 54 students using the data given below.

weight in kg 43 50 55 60 63
No. of students 17 15 12 6 4


 


Answer:_______________




6)  

 Using assumed mean method find the mean weight of 58 students using the data given below.

weight in kg 40 49 53 58 62
No. of students 18 16 11 8 5


 


Answer:_______________




7)  

 Using assumed mean method find the mean weight of 53 students using the data given below.

weight in kg 45 49 56 57 61
No. of students 18 14 12 6 3


 


Answer:_______________




8)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 40 48 55 60 63
No. of students 18 15 11 8 5


 


Answer:_______________




9)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 43 49 52 60 65
No. of students 18 15 11 9 4


 


Answer:_______________




10)  

 Using assumed mean method find the mean weight of 53 students using the data given below.

weight in kg 41 46 55 60 63
No. of students 17 14 13 6 3


 


Answer:_______________




 

1)  

 Using assumed mean method find the mean weight of 59 students using the data given below.

weight in kg 40 47 56 58 65
No. of students 18 16 13 9 3

Answer: 49.44

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

47

56=A

58

65

18

16

13

9

3

 -16

-9

0

2

9

-288

-144

0

18

27 

 59   -387

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-387)
(59)
 

 

= 56 + (-6.56)

= 49.44



2)  

 Using assumed mean method find the mean weight of 55 students using the data given below.

weight in kg 43 47 54 59 65
No. of students 17 14 11 8 5

Answer: 50.55

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

54=A

59

65

17

14

11

8

5

 -11

-7

0

5

11

-187

-98

0

40

55 

 55   -190

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-190)
(55)
 

 

= 54 + (-3.45)

= 50.55



3)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 43 50 54 59 64
No. of students 18 16 12 8 3

Answer: 50.63

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

50

54=A

59

64

18

16

12

8

3

 -11

-4

0

5

10

-198

-64

0

40

30 

 57   -192

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-192)
(57)
 

 

= 54 + (-3.37)

= 50.63



4)  

 Using assumed mean method find the mean weight of 55 students using the data given below.

weight in kg 40 50 54 57 63
No. of students 18 16 11 7 3

Answer: 49.13

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

50

54=A

57

63

18

16

11

7

3

 -14

-4

0

3

9

-252

-64

0

21

27 

 55   -268

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-268)
(55)
 

 

= 54 + (-4.87)

= 49.13



5)  

 Using assumed mean method find the mean weight of 54 students using the data given below.

weight in kg 43 50 55 60 63
No. of students 17 15 12 6 4

Answer: 50.98

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

50

55=A

60

63

17

15

12

6

4

 -12

-5

0

5

8

-204

-75

0

30

32 

 54   -217

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-217)
(54)
 

 

= 55 + (-4.02)

= 50.98



6)  

 Using assumed mean method find the mean weight of 58 students using the data given below.

weight in kg 40 49 53 58 62
No. of students 18 16 11 8 5

Answer: 49.33

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

49

53=A

58

62

18

16

11

8

5

 -13

-4

0

5

9

-234

-64

0

40

45 

 58   -213

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-213)
(58)
 

 

= 53 + (-3.67)

= 49.33



7)  

 Using assumed mean method find the mean weight of 53 students using the data given below.

weight in kg 45 49 56 57 61
No. of students 18 14 12 6 3

Answer: 50.81

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

56=A

57

61

18

14

12

6

3

 -11

-7

0

1

5

-198

-98

0

6

15 

 53   -275

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-275)
(53)
 

 

= 56 + (-5.19)

= 50.81



8)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 40 48 55 60 63
No. of students 18 15 11 8 5

Answer: 49.82

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

48

55=A

60

63

18

15

11

8

5

 -15

-7

0

5

8

-270

-105

0

40

40 

 57   -295

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-295)
(57)
 

 

= 55 + (-5.18)

= 49.82



9)  

 Using assumed mean method find the mean weight of 57 students using the data given below.

weight in kg 43 49 52 60 65
No. of students 18 15 11 9 4

Answer: 50.54

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

49

52=A

60

65

18

15

11

9

4

 -9

-3

0

8

13

-162

-45

0

72

52 

 57   -83

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-83)
(57)
 

 

= 52 + (-1.46)

= 50.54



10)  

 Using assumed mean method find the mean weight of 53 students using the data given below.

weight in kg 41 46 55 60 63
No. of students 17 14 13 6 3

Answer: 49.15

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

46

55=A

60

63

17

14

13

6

3

 -14

-9

0

5

8

-238

-126

0

30

24 

 53   -310

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-310)
(53)
 

 

= 55 + (-5.85)

= 49.15