Sasi Math (Revised for 1024)

Scroll:statistics >> standard deviation >> saq (4246)

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 stadard deviation.

Natural numbers are 12,18,17,9,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,21,17,8,2,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 14,22,16,7,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,19,16,7,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 11,18,16,9,2,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,20,15,8,2,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,20,15,8,2,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 11,19,17,9,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 10,20,17,9,2,5

Answer:_______________

10)

Calculate the stadard deviation.

Natural numbers are 12,21,16,7,2,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,18,17,9,3,4

Answer: 5.79

SOLUTION 1 :

Direct Method

x	= x²

3 4 9 17 18 12	9 16 81 289 324 144
∑x = 63	∑x²= 863

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{863}{6}$ - √ $\frac{(63}{6}$ )²

= √ (143.83 - 10.502)

= √ (143.83-110.25)

= √ 33.58

standard deviation Ô = 5.79

Calculate the stadard deviation.

Natural numbers are 12,21,17,8,2,5

Answer: 6.62

SOLUTION 1 :

Direct Method

x	= x²

2 5 8 17 21 12	4 25 64 289 441 144
∑x = 65	∑x²= 967

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{967}{6}$ - √ $\frac{(65}{6}$ )²

= √ (161.17 - 10.832)

= √ (161.17-117.29)

= √ 43.88

standard deviation Ô = 6.62

Calculate the stadard deviation.

Natural numbers are 14,22,16,7,3,4

Answer: 6.88

SOLUTION 1 :

Direct Method

x	= x²

3 4 7 16 22 14	9 16 49 256 484 196
∑x = 66	∑x²= 1010

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{1010}{6}$ - √ $\frac{(66}{6}$ )²

= √ (168.33 - 11.002)

= √ (168.33-121.00)

= √ 47.33

standard deviation Ô = 6.88

Calculate the stadard deviation.

Natural numbers are 12,19,16,7,3,4

Answer: 5.98

SOLUTION 1 :

Direct Method

x	= x²

3 4 7 16 19 12	9 16 49 256 361 144
∑x = 61	∑x²= 835

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{835}{6}$ - √ $\frac{(61}{6}$ )²

= √ (139.17 - 10.172)

= √ (139.17-103.43)

= √ 35.74

standard deviation Ô = 5.98

Calculate the stadard deviation.

Natural numbers are 11,18,16,9,2,5

Answer: 5.63

SOLUTION 1 :

Direct Method

x	= x²

2 5 9 16 18 11	4 25 81 256 324 121
∑x = 61	∑x²= 811

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{811}{6}$ - √ $\frac{(61}{6}$ )²

= √ (135.17 - 10.172)

= √ (135.17-103.43)

= √ 31.74

standard deviation Ô = 5.63

Calculate the stadard deviation.

Natural numbers are 12,20,15,8,2,5

Answer: 6.08

SOLUTION 1 :

Direct Method

x	= x²

2 5 8 15 20 12	4 25 64 225 400 144
∑x = 62	∑x²= 862

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{862}{6}$ - √ $\frac{(62}{6}$ )²

= √ (143.67 - 10.332)

= √ (143.67-106.71)

= √ 36.96

standard deviation Ô = 6.08

Calculate the stadard deviation.

Natural numbers are 12,20,15,8,2,4

Answer: 6.22

SOLUTION 1 :

Direct Method

x	= x²

2 4 8 15 20 12	4 16 64 225 400 144
∑x = 61	∑x²= 853

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{853}{6}$ - √ $\frac{(61}{6}$ )²

= √ (142.17 - 10.172)

= √ (142.17-103.43)

= √ 38.74

standard deviation Ô = 6.22

Calculate the stadard deviation.

Natural numbers are 11,19,17,9,3,4

Answer: 5.99

SOLUTION 1 :

Direct Method

x	= x²

3 4 9 17 19 11	9 16 81 289 361 121
∑x = 63	∑x²= 877

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{877}{6}$ - √ $\frac{(63}{6}$ )²

= √ (146.17 - 10.502)

= √ (146.17-110.25)

= √ 35.92

standard deviation Ô = 5.99

Calculate the stadard deviation.

Natural numbers are 10,20,17,9,2,5

Answer: 6.29

SOLUTION 1 :

Direct Method

x	= x²

2 5 9 17 20 10	4 25 81 289 400 100
∑x = 63	∑x²= 899

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{899}{6}$ - √ $\frac{(63}{6}$ )²

= √ (149.83 - 10.502)

= √ (149.83-110.25)

= √ 39.58

standard deviation Ô = 6.29

10)

Calculate the stadard deviation.

Natural numbers are 12,21,16,7,2,4

Answer: 6.71

SOLUTION 1 :

Direct Method

x	= x²

2 4 7 16 21 12	4 16 49 256 441 144
∑x = 62	∑x²= 910

Here, n = 6

standard deviation Ô		=	√ ∑x²	-	√ (∑x)²
			√ n		√ n²

= √ $\frac{910}{6}$ - √ $\frac{(62}{6}$ )²

= √ (151.67 - 10.332)

= √ (151.67-106.71)

= √ 44.96

standard deviation Ô = 6.71