Scroll:statistics >> standard deviation >> 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 56 students using the data given below.

weight in kg 43 47 53 59 63
No. of students 18 14 10 9 5


 


Answer:_______________




2)  

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

weight in kg 43 50 55 57 62
No. of students 17 14 11 7 3


 


Answer:_______________




3)  

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

weight in kg 43 47 55 59 62
No. of students 17 14 10 9 3


 


Answer:_______________




4)  

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

weight in kg 42 48 51 57 63
No. of students 18 15 13 9 5


 


Answer:_______________




5)  

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

weight in kg 43 48 54 59 63
No. of students 17 16 12 9 5


 


Answer:_______________




6)  

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

weight in kg 41 50 56 60 64
No. of students 17 14 11 8 4


 


Answer:_______________




7)  

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

weight in kg 40 47 54 59 62
No. of students 17 14 12 7 4


 


Answer:_______________




8)  

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

weight in kg 43 47 55 57 65
No. of students 18 14 13 9 3


 


Answer:_______________




9)  

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

weight in kg 45 48 56 60 63
No. of students 17 15 12 7 3


 


Answer:_______________




10)  

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

weight in kg 43 49 51 57 62
No. of students 17 15 11 6 3


 


Answer:_______________




 

1)  

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

weight in kg 43 47 53 59 63
No. of students 18 14 10 9 5

Answer: 50.14

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

53=A

59

63

18

14

10

9

5

 -10

-6

0

6

10

-180

-84

0

54

50 

 56   -160

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
53
 
+
 		(-160)
(56)
 

 

= 53 + (-2.86)

= 50.14



2)  

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

weight in kg 43 50 55 57 62
No. of students 17 14 11 7 3

Answer: 50.40

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

50

55=A

57

62

17

14

11

7

3

 -12

-5

0

2

7

-204

-70

0

14

21 

 52   -239

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-239)
(52)
 

 

= 55 + (-4.60)

= 50.40



3)  

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

weight in kg 43 47 55 59 62
No. of students 17 14 10 9 3

Answer: 50.11

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

55=A

59

62

17

14

10

9

3

 -12

-8

0

4

7

-204

-112

0

36

21 

 53   -259

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-259)
(53)
 

 

= 55 + (-4.89)

= 50.11



4)  

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

weight in kg 42 48 51 57 63
No. of students 18 15 13 9 5

Answer: 49.45

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

42

48

51=A

57

63

18

15

13

9

5

 -9

-3

0

6

12

-162

-45

0

54

60 

 60   -93

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-93)
(60)
 

 

= 51 + (-1.55)

= 49.45



5)  

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

weight in kg 43 48 54 59 63
No. of students 17 16 12 9 5

Answer: 50.73

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

48

54=A

59

63

17

16

12

9

5

 -11

-6

0

5

9

-187

-96

0

45

45 

 59   -193

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-193)
(59)
 

 

= 54 + (-3.27)

= 50.73



6)  

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

weight in kg 41 50 56 60 64
No. of students 17 14 11 8 4

Answer: 50.91

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

41

50

56=A

60

64

17

14

11

8

4

 -15

-6

0

4

8

-255

-84

0

32

32 

 54   -275

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-275)
(54)
 

 

= 56 + (-5.09)

= 50.91



7)  

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

weight in kg 40 47 54 59 62
No. of students 17 14 12 7 4

Answer: 49.02

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

40

47

54=A

59

62

17

14

12

7

4

 -14

-7

0

5

8

-238

-98

0

35

32 

 54   -269

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
54
 
+
 		(-269)
(54)
 

 

= 54 + (-4.98)

= 49.02



8)  

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

weight in kg 43 47 55 57 65
No. of students 18 14 13 9 3

Answer: 50.09

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

47

55=A

57

65

18

14

13

9

3

 -12

-8

0

2

10

-216

-112

0

18

30 

 57   -280

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
55
 
+
 		(-280)
(57)
 

 

= 55 + (-4.91)

= 50.09



9)  

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

weight in kg 45 48 56 60 63
No. of students 17 15 12 7 3

Answer: 51.22

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

45

48

56=A

60

63

17

15

12

7

3

 -11

-8

0

4

7

-187

-120

0

28

21 

 54   -258

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
56
 
+
 		(-258)
(54)
 

 

= 56 + (-4.78)

= 51.22



10)  

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

weight in kg 43 49 51 57 62
No. of students 17 15 11 6 3

Answer: 49.13

 


SOLUTION 1 :

 

weights in kgf d = x-A fd

43

49

51=A

57

62

17

15

11

6

3

 -8

-2

0

6

11

-136

-30

0

36

33 

 52   -97

 

-
x
 
=
 
A
 
+
 		∑ fd
∑ f

 

-
x
 
=
 
51
 
+
 		(-97)
(52)
 

 

= 51 + (-1.87)

= 49.13