Sasi Math (Revised for 1024)

Scroll:Statistics >> Deviation method >> saq (4240)

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.

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	11	25	15	10	4

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	6	13	24	15	10	5

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	15	21	16	10	3

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	15	25	20	11	4

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	8	15	24	17	11	5

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	7	11	23	19	8	4

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	7	14	18	20	8	3

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	5	11	19	15	11	5

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	11	22	17	8	5

Answer:_______________

10)

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	5	15	22	20	11	4

Answer:_______________

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	11	25	15	10	4

Answer: 29.06

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	4 11 25 15 10 4	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-8 -11 0 15 20 12
	69			28

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	28	x	10
			69

= 25 + $\frac{28}{69}$ x 10

= 25 + 4.06

= 29.06

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	6	13	24	15	10	5

Answer: 28.42

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	6 13 24 15 10 5	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-12 -13 0 15 20 15
	73			25

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	25	x	10
			73

= 25 + $\frac{25}{73}$ x 10

= 25 + 3.42

= 28.42

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	15	21	16	10	3

Answer: 28.19

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	4 15 21 16 10 3	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-8 -15 0 16 20 9
	69			22

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	22	x	10
			69

= 25 + $\frac{22}{69}$ x 10

= 25 + 3.19

= 28.19

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	15	25	20	11	4

Answer: 28.92

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	4 15 25 20 11 4	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-8 -15 0 20 22 12
	79			31

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	31	x	10
			79

= 25 + $\frac{31}{79}$ x 10

= 25 + 3.92

= 28.92

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	8	15	24	17	11	5

Answer: 27.88

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	8 15 24 17 11 5	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-16 -15 0 17 22 15
	80			23

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	23	x	10
			80

= 25 + $\frac{23}{80}$ x 10

= 25 + 2.88

= 27.88

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	7	11	23	19	8	4

Answer: 28.06

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	7 11 23 19 8 4	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-14 -11 0 19 16 12
	72			22

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	22	x	10
			72

= 25 + $\frac{22}{72}$ x 10

= 25 + 3.06

= 28.06

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	7	14	18	20	8	3

Answer: 54.86

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-20 20-40 40-60 60-80 80-100 100-120	7 14 18 20 8 3	10 30 50 =A 70 90 110	-4 -2 0 2 4 6	-28 -28 0 40 32 18
	70			34

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	34	x	10
			70

= 50 + $\frac{34}{70}$ x 10

= 50 + 4.86

= 54.86

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	5	11	19	15	11	5

Answer: 59.39

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-20 20-40 40-60 60-80 80-100 100-120	5 11 19 15 11 5	10 30 50 =A 70 90 110	-4 -2 0 2 4 6	-20 -22 0 30 44 30
	66			62

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	62	x	10
			66

= 50 + $\frac{62}{66}$ x 10

= 50 + 9.39

= 59.39

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-10)	(10-20)	(20-30)	(30-40)	(40-50)	(50-60)
No. of students	4	11	22	17	8	5

Answer: 29.33

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-10 10-20 20-30 30-40 40-50 50-60	4 11 22 17 8 5	5 15 25 =A 35 45 55	-2 -1 0 1 2 3	-8 -11 0 17 16 15
	67			29

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	29	x	10
			67

= 25 + $\frac{29}{67}$ x 10

= 25 + 4.33

= 29.33

10)

Calculate the arithmetic mean for the following data using step deviation method.

Marks	(0-20)	(20-40)	(40-60)	(60-80)	(80-100)	(100-120)
No. of students	5	15	22	20	11	4

Answer: 57.53

SOLUTION 1 :

Marks	f	x	d = $\frac{(x-A)}{10}$	fd

0-20 20-40 40-60 60-80 80-100 100-120	5 15 22 20 11 4	10 30 50 =A 70 90 110	-4 -2 0 2 4 6	-20 -30 0 40 44 24
	77			58

Mean	=	A +	∑ fd	x	C
			∑ f

Mean	=	A +	58	x	10
			77

= 50 + $\frac{58}{77}$ x 10

= 50 + 7.53

= 57.53