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 55 students using the data given below.

weight in kg 40 47 52 57 65
No. of students 18 14 13 6 4


 


Answer:_______________




2)  

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

weight in kg 42 48 56 60 65
No. of students 18 15 11 7 5


 


Answer:_______________




3)  

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

weight in kg 43 49 52 60 61
No. of students 17 14 12 9 5


 


Answer:_______________




4)  

 Using assumed mean method find the mean weight of 60 students using the data given below.

weight in kg 43 48 53 58 61
No. of students 17 16 13 9 5


 


Answer:_______________




5)  

 Using assumed mean method find the mean weight of 52 students using the data given below.

weight in kg 43 49 52 60 65
No. of students 17 15 10 7 3


 


Answer:_______________




6)  

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

weight in kg 40 50 55 57 65
No. of students 17 14 11 9 4


 


Answer:_______________




7)  

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

weight in kg 42 49 56 59 61
No. of students 18 15 11 6 5


 


Answer:_______________




8)  

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

weight in kg 43 48 54 57 65
No. of students 18 15 12 8 3


 


Answer:_______________




9)  

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

weight in kg 42 50 52 59 63
No. of students 18 15 11 6 4


 


Answer:_______________




10)  

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

weight in kg 44 49 55 58 64
No. of students 17 16 13 9 3


 


Answer:_______________




 

1)  

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

weight in kg 40 47 52 57 65
No. of students 18 14 13 6 4

Answer: 48.29

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

47

52=A

57

65

18

14

13

6

4

 -12

-5

0

5

13

-216

-70

0

30

52 

 55   -204

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-204)
(55)
 

 

= 52 + (-3.71)

= 48.29



2)  

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

weight in kg 42 48 56 60 65
No. of students 18 15 11 7 5

Answer: 50.66

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

48

56=A

60

65

18

15

11

7

5

 -14

-8

0

4

9

-252

-120

0

28

45 

 56   -299

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-299)
(56)
 

 

= 56 + (-5.34)

= 50.66



3)  

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

weight in kg 43 49 52 60 61
No. of students 17 14 12 9 5

Answer: 50.63

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

49

52=A

60

61

17

14

12

9

5

 -9

-3

0

8

9

-153

-42

0

72

45 

 57   -78

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-78)
(57)
 

 

= 52 + (-1.37)

= 50.63



4)  

 Using assumed mean method find the mean weight of 60 students using the data given below.

weight in kg 43 48 53 58 61
No. of students 17 16 13 9 5

Answer: 50.25

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

48

53=A

58

61

17

16

13

9

5

 -10

-5

0

5

8

-170

-80

0

45

40 

 60   -165

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-165)
(60)
 

 

= 53 + (-2.75)

= 50.25



5)  

 Using assumed mean method find the mean weight of 52 students using the data given below.

weight in kg 43 49 52 60 65
No. of students 17 15 10 7 3

Answer: 50.02

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

49

52=A

60

65

17

15

10

7

3

 -9

-3

0

8

13

-153

-45

0

56

39 

 52   -103

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-103)
(52)
 

 

= 52 + (-1.98)

= 50.02



6)  

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

weight in kg 40 50 55 57 65
No. of students 17 14 11 9 4

Answer: 50.15

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

50

55=A

57

65

17

14

11

9

4

 -15

-5

0

2

10

-255

-70

0

18

40 

 55   -267

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-267)
(55)
 

 

= 55 + (-4.85)

= 50.15



7)  

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

weight in kg 42 49 56 59 61
No. of students 18 15 11 6 5

Answer: 50.29

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

49

56=A

59

61

18

15

11

6

5

 -14

-7

0

3

5

-252

-105

0

18

25 

 55   -314

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-314)
(55)
 

 

= 56 + (-5.71)

= 50.29



8)  

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

weight in kg 43 48 54 57 65
No. of students 18 15 12 8 3

Answer: 49.87

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

48

54=A

57

65

18

15

12

8

3

 -11

-6

0

3

11

-198

-90

0

24

33 

 56   -231

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-231)
(56)
 

 

= 54 + (-4.13)

= 49.87



9)  

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

weight in kg 42 50 52 59 63
No. of students 18 15 11 6 4

Answer: 49.70

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

50

52=A

59

63

18

15

11

6

4

 -10

-2

0

7

11

-180

-30

0

42

44 

 54   -124

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-124)
(54)
 

 

= 52 + (-2.30)

= 49.70



10)  

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

weight in kg 44 49 55 58 64
No. of students 17 16 13 9 3

Answer: 51.05

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

49

55=A

58

64

17

16

13

9

3

 -11

-6

0

3

9

-187

-96

0

27

27 

 58   -229

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-229)
(58)
 

 

= 55 + (-3.95)

= 51.05