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 55 58 65
No. of students 17 14 10 9 5


 


Answer:_______________




2)  

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

weight in kg 40 46 51 60 64
No. of students 18 14 12 7 4


 


Answer:_______________




3)  

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

weight in kg 45 50 54 57 62
No. of students 17 16 11 7 3


 


Answer:_______________




4)  

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

weight in kg 45 48 53 57 64
No. of students 17 16 10 8 5


 


Answer:_______________




5)  

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

weight in kg 45 47 51 58 63
No. of students 17 15 12 8 5


 


Answer:_______________




6)  

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

weight in kg 40 50 51 58 62
No. of students 17 14 13 9 4


 


Answer:_______________




7)  

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

weight in kg 43 49 53 57 62
No. of students 18 14 10 6 4


 


Answer:_______________




8)  

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

weight in kg 40 46 56 60 61
No. of students 18 15 12 6 3


 


Answer:_______________




9)  

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

weight in kg 42 48 51 59 62
No. of students 17 16 13 6 3


 


Answer:_______________




10)  

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

weight in kg 43 50 53 59 62
No. of students 18 16 10 9 4


 


Answer:_______________




 

1)  

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

weight in kg 40 47 55 58 65
No. of students 17 14 10 9 5

Answer: 49.73

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

47

55=A

58

65

17

14

10

9

5

 -15

-8

0

3

10

-255

-112

0

27

50 

 55   -290

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-290)
(55)
 

 

= 55 + (-5.27)

= 49.73



2)  

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

weight in kg 40 46 51 60 64
No. of students 18 14 12 7 4

Answer: 48.22

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

46

51=A

60

64

18

14

12

7

4

 -11

-5

0

9

13

-198

-70

0

63

52 

 55   -153

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-153)
(55)
 

 

= 51 + (-2.78)

= 48.22



3)  

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

weight in kg 45 50 54 57 62
No. of students 17 16 11 7 3

Answer: 50.81

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

50

54=A

57

62

17

16

11

7

3

 -9

-4

0

3

8

-153

-64

0

21

24 

 54   -172

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-172)
(54)
 

 

= 54 + (-3.19)

= 50.81



4)  

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

weight in kg 45 48 53 57 64
No. of students 17 16 10 8 5

Answer: 50.70

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

48

53=A

57

64

17

16

10

8

5

 -8

-5

0

4

11

-136

-80

0

32

55 

 56   -129

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-129)
(56)
 

 

= 53 + (-2.30)

= 50.70



5)  

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

weight in kg 45 47 51 58 63
No. of students 17 15 12 8 5

Answer: 50.19

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

47

51=A

58

63

17

15

12

8

5

 -6

-4

0

7

12

-102

-60

0

56

60 

 57   -46

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-46)
(57)
 

 

= 51 + (-0.81)

= 50.19



6)  

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

weight in kg 40 50 51 58 62
No. of students 17 14 13 9 4

Answer: 49.35

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

50

51=A

58

62

17

14

13

9

4

 -11

-1

0

7

11

-187

-14

0

63

44 

 57   -94

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-94)
(57)
 

 

= 51 + (-1.65)

= 49.35



7)  

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

weight in kg 43 49 53 57 62
No. of students 18 14 10 6 4

Answer: 49.62

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

49

53=A

57

62

18

14

10

6

4

 -10

-4

0

4

9

-180

-56

0

24

36 

 52   -176

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-176)
(52)
 

 

= 53 + (-3.38)

= 49.62



8)  

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

weight in kg 40 46 56 60 61
No. of students 18 15 12 6 3

Answer: 48.61

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

46

56=A

60

61

18

15

12

6

3

 -16

-10

0

4

5

-288

-150

0

24

15 

 54   -399

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-399)
(54)
 

 

= 56 + (-7.39)

= 48.61



9)  

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

weight in kg 42 48 51 59 62
No. of students 17 16 13 6 3

Answer: 48.82

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

48

51=A

59

62

17

16

13

6

3

 -9

-3

0

8

11

-153

-48

0

48

33 

 55   -120

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-120)
(55)
 

 

= 51 + (-2.18)

= 48.82



10)  

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

weight in kg 43 50 53 59 62
No. of students 18 16 10 9 4

Answer: 50.58

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

50

53=A

59

62

18

16

10

9

4

 -10

-3

0

6

9

-180

-48

0

54

36 

 57   -138

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-138)
(57)
 

 

= 53 + (-2.42)

= 50.58