Scroll:Statistics >> Direct Method >> 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 53 students using the data given below.

weight in kg 41 50 56 60 63
No. of students 18 14 12 6 3


 


Answer:_______________




2)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 45 49 51 58 64
No. of students 17 16 13 7 3


 


Answer:_______________




3)  

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

weight in kg 44 50 56 59 65
No. of students 18 15 12 9 4


 


Answer:_______________




4)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 45 48 52 60 61
No. of students 18 16 10 7 5


 


Answer:_______________




5)  

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

weight in kg 45 49 52 59 65
No. of students 18 16 12 9 4


 


Answer:_______________




6)  

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

weight in kg 45 47 53 59 64
No. of students 17 14 12 7 4


 


Answer:_______________




7)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 41 49 54 58 61
No. of students 18 14 12 7 5


 


Answer:_______________




8)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 44 49 54 57 65
No. of students 17 14 13 7 5


 


Answer:_______________




9)  

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

weight in kg 43 50 53 57 64
No. of students 18 14 12 7 4


 


Answer:_______________




10)  

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

weight in kg 44 48 51 59 65
No. of students 17 15 12 9 4


 


Answer:_______________




 

1)  

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

weight in kg 41 50 56 60 63
No. of students 18 14 12 6 3

Answer: 50.17

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

50

56=A

60

63

18

14

12

6

3

 -15

-6

0

4

7

-270

-84

0

24

21 

 53   -309

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-309)
(53)
 

 

= 56 + (-5.83)

= 50.17



2)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 45 49 51 58 64
No. of students 17 16 13 7 3

Answer: 50.18

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

51=A

58

64

17

16

13

7

3

 -6

-2

0

7

13

-102

-32

0

49

39 

 56   -46

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-46)
(56)
 

 

= 51 + (-0.82)

= 50.18



3)  

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

weight in kg 44 50 56 59 65
No. of students 18 15 12 9 4

Answer: 51.81

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

50

56=A

59

65

18

15

12

9

4

 -12

-6

0

3

9

-216

-90

0

27

36 

 58   -243

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-243)
(58)
 

 

= 56 + (-4.19)

= 51.81



4)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 45 48 52 60 61
No. of students 18 16 10 7 5

Answer: 50.41

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

48

52=A

60

61

18

16

10

7

5

 -7

-4

0

8

9

-126

-64

0

56

45 

 56   -89

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-89)
(56)
 

 

= 52 + (-1.59)

= 50.41



5)  

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

weight in kg 45 49 52 59 65
No. of students 18 16 12 9 4

Answer: 51.00

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

52=A

59

65

18

16

12

9

4

 -7

-3

0

7

13

-126

-48

0

63

52 

 59   -59

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-59)
(59)
 

 

= 52 + (-1.00)

= 51.00



6)  

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

weight in kg 45 47 53 59 64
No. of students 17 14 12 7 4

Answer: 50.52

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

47

53=A

59

64

17

14

12

7

4

 -8

-6

0

6

11

-136

-84

0

42

44 

 54   -134

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-134)
(54)
 

 

= 53 + (-2.48)

= 50.52



7)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 41 49 54 58 61
No. of students 18 14 12 7 5

Answer: 49.70

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

49

54=A

58

61

18

14

12

7

5

 -13

-5

0

4

7

-234

-70

0

28

35 

 56   -241

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-241)
(56)
 

 

= 54 + (-4.30)

= 49.70



8)  

 Using assumed mean method find the mean weight of 56 students using the data given below.

weight in kg 44 49 54 57 65
No. of students 17 14 13 7 5

Answer: 51.07

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

49

54=A

57

65

17

14

13

7

5

 -10

-5

0

3

11

-170

-70

0

21

55 

 56   -164

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-164)
(56)
 

 

= 54 + (-2.93)

= 51.07



9)  

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

weight in kg 43 50 53 57 64
No. of students 18 14 12 7 4

Answer: 50.27

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

50

53=A

57

64

18

14

12

7

4

 -10

-3

0

4

11

-180

-42

0

28

44 

 55   -150

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-150)
(55)
 

 

= 53 + (-2.73)

= 50.27



10)  

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

weight in kg 44 48 51 59 65
No. of students 17 15 12 9 4

Answer: 50.37

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

48

51=A

59

65

17

15

12

9

4

 -7

-3

0

8

14

-119

-45

0

72

56 

 57   -36

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-36)
(57)
 

 

= 51 + (-0.63)

= 50.37