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 57 students using the data given below.

weight in kg 45 49 54 59 61
No. of students 18 16 11 8 4


 


Answer:_______________




2)  

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

weight in kg 44 46 54 60 63
No. of students 18 14 10 9 3


 


Answer:_______________




3)  

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

weight in kg 43 46 53 59 61
No. of students 17 15 13 6 4


 


Answer:_______________




4)  

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

weight in kg 45 49 53 60 64
No. of students 18 16 12 9 5


 


Answer:_______________




5)  

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

weight in kg 42 47 51 58 61
No. of students 17 14 13 9 5


 


Answer:_______________




6)  

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

weight in kg 45 48 51 58 62
No. of students 18 16 12 6 3


 


Answer:_______________




7)  

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

weight in kg 42 50 53 57 65
No. of students 18 15 11 9 3


 


Answer:_______________




8)  

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

weight in kg 41 48 56 57 65
No. of students 17 14 10 8 3


 


Answer:_______________




9)  

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

weight in kg 40 47 51 60 62
No. of students 18 15 10 6 4


 


Answer:_______________




10)  

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

weight in kg 43 46 51 57 61
No. of students 17 16 12 8 5


 


Answer:_______________




 

1)  

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

weight in kg 45 49 54 59 61
No. of students 18 16 11 8 4

Answer: 50.95

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

54=A

59

61

18

16

11

8

4

 -9

-5

0

5

7

-162

-80

0

40

28 

 57   -174

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-174)
(57)
 

 

= 54 + (-3.05)

= 50.95



2)  

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

weight in kg 44 46 54 60 63
No. of students 18 14 10 9 3

Answer: 50.09

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

44

46

54=A

60

63

18

14

10

9

3

 -10

-8

0

6

9

-180

-112

0

54

27 

 54   -211

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-211)
(54)
 

 

= 54 + (-3.91)

= 50.09



3)  

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

weight in kg 43 46 53 59 61
No. of students 17 15 13 6 4

Answer: 49.24

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

46

53=A

59

61

17

15

13

6

4

 -10

-7

0

6

8

-170

-105

0

36

32 

 55   -207

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-207)
(55)
 

 

= 53 + (-3.76)

= 49.24



4)  

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

weight in kg 45 49 53 60 64
No. of students 18 16 12 9 5

Answer: 51.50

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

49

53=A

60

64

18

16

12

9

5

 -8

-4

0

7

11

-144

-64

0

63

55 

 60   -90

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-90)
(60)
 

 

= 53 + (-1.50)

= 51.50



5)  

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

weight in kg 42 47 51 58 61
No. of students 17 14 13 9 5

Answer: 49.34

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

47

51=A

58

61

17

14

13

9

5

 -9

-4

0

7

10

-153

-56

0

63

50 

 58   -96

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-96)
(58)
 

 

= 51 + (-1.66)

= 49.34



6)  

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

weight in kg 45 48 51 58 62
No. of students 18 16 12 6 3

Answer: 49.53

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

48

51=A

58

62

18

16

12

6

3

 -6

-3

0

7

11

-108

-48

0

42

33 

 55   -81

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-81)
(55)
 

 

= 51 + (-1.47)

= 49.53



7)  

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

weight in kg 42 50 53 57 65
No. of students 18 15 11 9 3

Answer: 49.95

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

50

53=A

57

65

18

15

11

9

3

 -11

-3

0

4

12

-198

-45

0

36

36 

 56   -171

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-171)
(56)
 

 

= 53 + (-3.05)

= 49.95



8)  

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

weight in kg 41 48 56 57 65
No. of students 17 14 10 8 3

Answer: 49.62

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

48

56=A

57

65

17

14

10

8

3

 -15

-8

0

1

9

-255

-112

0

8

27 

 52   -332

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-332)
(52)
 

 

= 56 + (-6.38)

= 49.62



9)  

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

weight in kg 40 47 51 60 62
No. of students 18 15 10 6 4

Answer: 47.98

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

47

51=A

60

62

18

15

10

6

4

 -11

-4

0

9

11

-198

-60

0

54

44 

 53   -160

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-160)
(53)
 

 

= 51 + (-3.02)

= 47.98



10)  

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

weight in kg 43 46 51 57 61
No. of students 17 16 12 8 5

Answer: 48.97

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

46

51=A

57

61

17

16

12

8

5

 -8

-5

0

6

10

-136

-80

0

48

50 

 58   -118

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-118)
(58)
 

 

= 51 + (-2.03)

= 48.97