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 10,22,17,7,2,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 14,18,15,7,2,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,20,16,9,3,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 14,19,15,9,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,22,17,8,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,19,15,7,2,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 14,18,15,9,3,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,18,17,8,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 11,20,17,7,3,4

Answer:_______________

10)

Calculate the stadard deviation.

Natural numbers are 12,20,17,8,3,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 10,22,17,7,2,5

Answer: 6.95

SOLUTION 1 :

Direct Method

x	= x²

2 5 7 17 22 10	4 25 49 289 484 100
∑x = 63	∑x²= 951

Here, n = 6

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

= √ $\frac{951}{6}$ - √ $\frac{(63}{6}$ )²

= √ (158.50 - 10.502)

= √ (158.50-110.25)

= √ 48.25

standard deviation Ô = 6.95

Calculate the stadard deviation.

Natural numbers are 14,18,15,7,2,4

Answer: 5.97

SOLUTION 1 :

Direct Method

x	= x²

2 4 7 15 18 14	4 16 49 225 324 196
∑x = 60	∑x²= 814

Here, n = 6

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

= √ $\frac{814}{6}$ - √ $\frac{(60}{6}$ )²

= √ (135.67 - 10.002)

= √ (135.67-100.00)

= √ 35.67

standard deviation Ô = 5.97

Calculate the stadard deviation.

Natural numbers are 12,20,16,9,3,5

Answer: 5.93

SOLUTION 1 :

Direct Method

x	= x²

3 5 9 16 20 12	9 25 81 256 400 144
∑x = 65	∑x²= 915

Here, n = 6

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

= √ $\frac{915}{6}$ - √ $\frac{(65}{6}$ )²

= √ (152.50 - 10.832)

= √ (152.50-117.29)

= √ 35.21

standard deviation Ô = 5.93

Calculate the stadard deviation.

Natural numbers are 14,19,15,9,3,4

Answer: 5.84

SOLUTION 1 :

Direct Method

x	= x²

3 4 9 15 19 14	9 16 81 225 361 196
∑x = 64	∑x²= 888

Here, n = 6

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

= √ $\frac{888}{6}$ - √ $\frac{(64}{6}$ )²

= √ (148.00 - 10.672)

= √ (148.00-113.85)

= √ 34.15

standard deviation Ô = 5.84

Calculate the stadard deviation.

Natural numbers are 13,22,17,8,3,4

Answer: 6.86

SOLUTION 1 :

Direct Method

x	= x²

3 4 8 17 22 13	9 16 64 289 484 169
∑x = 67	∑x²= 1031

Here, n = 6

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

= √ $\frac{1031}{6}$ - √ $\frac{(67}{6}$ )²

= √ (171.83 - 11.172)

= √ (171.83-124.77)

= √ 47.06

standard deviation Ô = 6.86

Calculate the stadard deviation.

Natural numbers are 12,19,15,7,2,4

Answer: 6.04

SOLUTION 1 :

Direct Method

x	= x²

2 4 7 15 19 12	4 16 49 225 361 144
∑x = 59	∑x²= 799

Here, n = 6

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

= √ $\frac{799}{6}$ - √ $\frac{(59}{6}$ )²

= √ (133.17 - 9.832)

= √ (133.17-96.63)

= √ 36.54

standard deviation Ô = 6.04

Calculate the stadard deviation.

Natural numbers are 14,18,15,9,3,5

Answer: 5.43

SOLUTION 1 :

Direct Method

x	= x²

3 5 9 15 18 14	9 25 81 225 324 196
∑x = 64	∑x²= 860

Here, n = 6

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

= √ $\frac{860}{6}$ - √ $\frac{(64}{6}$ )²

= √ (143.33 - 10.672)

= √ (143.33-113.85)

= √ 29.48

standard deviation Ô = 5.43

Calculate the stadard deviation.

Natural numbers are 13,18,17,8,3,4

Answer: 5.91

SOLUTION 1 :

Direct Method

x	= x²

3 4 8 17 18 13	9 16 64 289 324 169
∑x = 63	∑x²= 871

Here, n = 6

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

= √ $\frac{871}{6}$ - √ $\frac{(63}{6}$ )²

= √ (145.17 - 10.502)

= √ (145.17-110.25)

= √ 34.92

standard deviation Ô = 5.91

Calculate the stadard deviation.

Natural numbers are 11,20,17,7,3,4

Answer: 6.37

SOLUTION 1 :

Direct Method

x	= x²

3 4 7 17 20 11	9 16 49 289 400 121
∑x = 62	∑x²= 884

Here, n = 6

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

= √ $\frac{884}{6}$ - √ $\frac{(62}{6}$ )²

= √ (147.33 - 10.332)

= √ (147.33-106.71)

= √ 40.62

standard deviation Ô = 6.37

10)

Calculate the stadard deviation.

Natural numbers are 12,20,17,8,3,5

Answer: 6.15

SOLUTION 1 :

Direct Method

x	= x²

3 5 8 17 20 12	9 25 64 289 400 144
∑x = 65	∑x²= 931

Here, n = 6

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

= √ $\frac{931}{6}$ - √ $\frac{(65}{6}$ )²

= √ (155.17 - 10.832)

= √ (155.17-117.29)

= √ 37.88

standard deviation Ô = 6.15