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 54 students using the data given below.

weight in kg 41 47 52 58 61
No. of students 18 16 11 6 3


 


Answer:_______________




2)  

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

weight in kg 42 46 56 57 65
No. of students 18 14 13 8 3


 


Answer:_______________




3)  

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

weight in kg 43 47 56 57 65
No. of students 17 15 13 7 3


 


Answer:_______________




4)  

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

weight in kg 45 49 54 58 62
No. of students 17 14 13 6 5


 


Answer:_______________




5)  

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

weight in kg 43 47 53 59 61
No. of students 18 14 13 7 5


 


Answer:_______________




6)  

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

weight in kg 44 50 55 58 63
No. of students 18 15 13 6 4


 


Answer:_______________




7)  

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

weight in kg 44 46 51 60 65
No. of students 17 15 11 9 3


 


Answer:_______________




8)  

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

weight in kg 42 47 53 57 61
No. of students 17 16 11 7 5


 


Answer:_______________




9)  

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

weight in kg 40 46 53 59 65
No. of students 17 14 11 9 4


 


Answer:_______________




10)  

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

weight in kg 41 48 56 58 65
No. of students 18 15 12 9 4


 


Answer:_______________




 

1)  

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

weight in kg 41 47 52 58 61
No. of students 18 16 11 6 3

Answer: 48.02

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

47

52=A

58

61

18

16

11

6

3

 -11

-5

0

6

9

-198

-80

0

36

27 

 54   -215

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
52
 
+
 		(-215)
(54)
 

 

= 52 + (-3.98)

= 48.02



2)  

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

weight in kg 42 46 56 57 65
No. of students 18 14 13 8 3

Answer: 49.62

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

46

56=A

57

65

18

14

13

8

3

 -14

-10

0

1

9

-252

-140

0

8

27 

 56   -357

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-357)
(56)
 

 

= 56 + (-6.38)

= 49.62



3)  

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

weight in kg 43 47 56 57 65
No. of students 17 15 13 7 3

Answer: 50.15

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

56=A

57

65

17

15

13

7

3

 -13

-9

0

1

9

-221

-135

0

7

27 

 55   -322

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-322)
(55)
 

 

= 56 + (-5.85)

= 50.15



4)  

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

weight in kg 45 49 54 58 62
No. of students 17 14 13 6 5

Answer: 51.11

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

54=A

58

62

17

14

13

6

5

 -9

-5

0

4

8

-153

-70

0

24

40 

 55   -159

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-159)
(55)
 

 

= 54 + (-2.89)

= 51.11



5)  

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

weight in kg 43 47 53 59 61
No. of students 18 14 13 7 5

Answer: 49.81

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

53=A

59

61

18

14

13

7

5

 -10

-6

0

6

8

-180

-84

0

42

40 

 57   -182

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-182)
(57)
 

 

= 53 + (-3.19)

= 49.81



6)  

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

weight in kg 44 50 55 58 63
No. of students 18 15 13 6 4

Answer: 51.02

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

50

55=A

58

63

18

15

13

6

4

 -11

-5

0

3

8

-198

-75

0

18

32 

 56   -223

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-223)
(56)
 

 

= 55 + (-3.98)

= 51.02



7)  

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

weight in kg 44 46 51 60 65
No. of students 17 15 11 9 3

Answer: 49.71

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

46

51=A

60

65

17

15

11

9

3

 -7

-5

0

9

14

-119

-75

0

81

42 

 55   -71

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-71)
(55)
 

 

= 51 + (-1.29)

= 49.71



8)  

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

weight in kg 42 47 53 57 61
No. of students 17 16 11 7 5

Answer: 49.16

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

47

53=A

57

61

17

16

11

7

5

 -11

-6

0

4

8

-187

-96

0

28

40 

 56   -215

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-215)
(56)
 

 

= 53 + (-3.84)

= 49.16



9)  

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

weight in kg 40 46 53 59 65
No. of students 17 14 11 9 4

Answer: 49.05

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

46

53=A

59

65

17

14

11

9

4

 -13

-7

0

6

12

-221

-98

0

54

48 

 55   -217

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-217)
(55)
 

 

= 53 + (-3.95)

= 49.05



10)  

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

weight in kg 41 48 56 58 65
No. of students 18 15 12 9 4

Answer: 50.21

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

48

56=A

58

65

18

15

12

9

4

 -15

-8

0

2

9

-270

-120

0

18

36 

 58   -336

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-336)
(58)
 

 

= 56 + (-5.79)

= 50.21