Sasi Math (Revised for 1024)

Scroll:statistics >> standard deviation >> saq (4245)

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 standard deviation.

Natural numbers are 1,2,3,4,5,6,7,8,9,10,11,12,13

Answer:_______________

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer:_______________

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer:_______________

Calculate the standard deviation.

Natural numbers are 1,2,3,4,5,6,7,8,9,10,11,12,13

Answer:_______________

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer:_______________

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer:_______________

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer:_______________

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer:_______________

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer:_______________

10)

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer:_______________

Calculate the standard deviation.

Natural numbers are 1,2,3,4,5,6,7,8,9,10,11,12,13

Answer: 3.74

SOLUTION 1 :

Actual mean method

x bar	∑x	=	1+2+3+4+5+6+7+8+9+10+11+12+13
	n		13

x bar = $\frac{91}{13}$ = 7

x	d = x-xbar = x - 7	d²

1 2 3 4 5 6 7 8 9 10 11 12 13	-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6	36 25 16 9 4 1 0 1 4 9 16 25 36
	∑d=0	∑fd²=182

standard deviation Ô	=	√ ∑d²	=	√ $\frac{182}{13}$
		n

= √ 14

standard deviation Ô = 3.74

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer: 7.48

SOLUTION 1 :

Actual mean method

x bar	∑x	=	2+4+6+8+10+12+14+16+18+20+22+24+26
	n		13

x bar = $\frac{182}{13}$ = 14

x	d = x-xbar = x - 14	d²

2 4 6 8 10 12 14 16 18 20 22 24 26	-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12	144 100 64 36 16 4 0 4 16 36 64 100 144
	∑d=0	∑fd²=728

standard deviation Ô	=	√ ∑d²	=	√ $\frac{728}{13}$
		n

= √ 56

standard deviation Ô = 7.48

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer: 11.22

SOLUTION 1 :

Actual mean method

x bar	∑x	=	3+6+9+12+15+18+21+24+27+30+33+36+39
	n		13

x bar = $\frac{273}{13}$ = 21

x	d = x-xbar = x - 21	d²

3 6 9 12 15 18 21 24 27 30 33 36 39	-18 -15 -12 -9 -6 -3 0 3 6 9 12 15 18	324 225 144 81 36 9 0 9 36 81 144 225 324
	∑d=0	∑fd²=1638

standard deviation Ô	=	√ ∑d²	=	√ $\frac{1638}{13}$
		n

= √ 126

standard deviation Ô = 11.22

Calculate the standard deviation.

Natural numbers are 1,2,3,4,5,6,7,8,9,10,11,12,13

Answer: 3.74

SOLUTION 1 :

Actual mean method

x bar	∑x	=	1+2+3+4+5+6+7+8+9+10+11+12+13
	n		13

x bar = $\frac{91}{13}$ = 7

x	d = x-xbar = x - 7	d²

1 2 3 4 5 6 7 8 9 10 11 12 13	-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6	36 25 16 9 4 1 0 1 4 9 16 25 36
	∑d=0	∑fd²=182

standard deviation Ô	=	√ ∑d²	=	√ $\frac{182}{13}$
		n

= √ 14

standard deviation Ô = 3.74

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer: 7.48

SOLUTION 1 :

Actual mean method

x bar	∑x	=	2+4+6+8+10+12+14+16+18+20+22+24+26
	n		13

x bar = $\frac{182}{13}$ = 14

x	d = x-xbar = x - 14	d²

2 4 6 8 10 12 14 16 18 20 22 24 26	-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12	144 100 64 36 16 4 0 4 16 36 64 100 144
	∑d=0	∑fd²=728

standard deviation Ô	=	√ ∑d²	=	√ $\frac{728}{13}$
		n

= √ 56

standard deviation Ô = 7.48

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer: 7.48

SOLUTION 1 :

Actual mean method

x bar	∑x	=	2+4+6+8+10+12+14+16+18+20+22+24+26
	n		13

x bar = $\frac{182}{13}$ = 14

x	d = x-xbar = x - 14	d²

2 4 6 8 10 12 14 16 18 20 22 24 26	-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12	144 100 64 36 16 4 0 4 16 36 64 100 144
	∑d=0	∑fd²=728

standard deviation Ô	=	√ ∑d²	=	√ $\frac{728}{13}$
		n

= √ 56

standard deviation Ô = 7.48

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer: 11.22

SOLUTION 1 :

Actual mean method

x bar	∑x	=	3+6+9+12+15+18+21+24+27+30+33+36+39
	n		13

x bar = $\frac{273}{13}$ = 21

x	d = x-xbar = x - 21	d²

3 6 9 12 15 18 21 24 27 30 33 36 39	-18 -15 -12 -9 -6 -3 0 3 6 9 12 15 18	324 225 144 81 36 9 0 9 36 81 144 225 324
	∑d=0	∑fd²=1638

standard deviation Ô	=	√ ∑d²	=	√ $\frac{1638}{13}$
		n

= √ 126

standard deviation Ô = 11.22

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer: 7.48

SOLUTION 1 :

Actual mean method

x bar	∑x	=	2+4+6+8+10+12+14+16+18+20+22+24+26
	n		13

x bar = $\frac{182}{13}$ = 14

x	d = x-xbar = x - 14	d²

2 4 6 8 10 12 14 16 18 20 22 24 26	-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12	144 100 64 36 16 4 0 4 16 36 64 100 144
	∑d=0	∑fd²=728

standard deviation Ô	=	√ ∑d²	=	√ $\frac{728}{13}$
		n

= √ 56

standard deviation Ô = 7.48

Calculate the standard deviation.

Natural numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26

Answer: 7.48

SOLUTION 1 :

Actual mean method

x bar	∑x	=	2+4+6+8+10+12+14+16+18+20+22+24+26
	n		13

x bar = $\frac{182}{13}$ = 14

x	d = x-xbar = x - 14	d²

2 4 6 8 10 12 14 16 18 20 22 24 26	-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12	144 100 64 36 16 4 0 4 16 36 64 100 144
	∑d=0	∑fd²=728

standard deviation Ô	=	√ ∑d²	=	√ $\frac{728}{13}$
		n

= √ 56

standard deviation Ô = 7.48

10)

Calculate the standard deviation.

Natural numbers are 3,6,9,12,15,18,21,24,27,30,33,36,39

Answer: 11.22

SOLUTION 1 :

Actual mean method

x bar	∑x	=	3+6+9+12+15+18+21+24+27+30+33+36+39
	n		13

x bar = $\frac{273}{13}$ = 21

x	d = x-xbar = x - 21	d²

3 6 9 12 15 18 21 24 27 30 33 36 39	-18 -15 -12 -9 -6 -3 0 3 6 9 12 15 18	324 225 144 81 36 9 0 9 36 81 144 225 324
	∑d=0	∑fd²=1638

standard deviation Ô	=	√ ∑d²	=	√ $\frac{1638}{13}$
		n

= √ 126

standard deviation Ô = 11.22