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 10,18,16,8,3,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,20,15,7,2,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 14,22,15,9,3,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,18,16,8,3,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 11,21,17,9,3,5

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,21,15,8,2,4

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 12,21,15,9,2,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,18,16,9,2,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 13,18,17,9,2,6

Answer:_______________

10)

Calculate the stadard deviation.

Natural numbers are 10,19,16,9,3,6

Answer:_______________

Calculate the stadard deviation.

Natural numbers are 10,18,16,8,3,6

Answer: 5.30

SOLUTION 1 :

Direct Method

x	= x²

3 6 8 16 18 10	9 36 64 256 324 100
∑x = 61	∑x²= 789

Here, n = 6

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

= √ $\frac{789}{6}$ - √ $\frac{(61}{6}$ )²

= √ (131.50 - 10.172)

= √ (131.50-103.43)

= √ 28.07

standard deviation Ô = 5.30

Calculate the stadard deviation.

Natural numbers are 12,20,15,7,2,6

Answer: 6.02

SOLUTION 1 :

Direct Method

x	= x²

2 6 7 15 20 12	4 36 49 225 400 144
∑x = 62	∑x²= 858

Here, n = 6

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

= √ $\frac{858}{6}$ - √ $\frac{(62}{6}$ )²

= √ (143.00 - 10.332)

= √ (143.00-106.71)

= √ 36.29

standard deviation Ô = 6.02

Calculate the stadard deviation.

Natural numbers are 14,22,15,9,3,6

Answer: 6.29

SOLUTION 1 :

Direct Method

x	= x²

3 6 9 15 22 14	9 36 81 225 484 196
∑x = 69	∑x²= 1031

Here, n = 6

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

= √ $\frac{1031}{6}$ - √ $\frac{(69}{6}$ )²

= √ (171.83 - 11.502)

= √ (171.83-132.25)

= √ 39.58

standard deviation Ô = 6.29

Calculate the stadard deviation.

Natural numbers are 13,18,16,8,3,4

Answer: 5.74

SOLUTION 1 :

Direct Method

x	= x²

3 4 8 16 18 13	9 16 64 256 324 169
∑x = 62	∑x²= 838

Here, n = 6

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

= √ $\frac{838}{6}$ - √ $\frac{(62}{6}$ )²

= √ (139.67 - 10.332)

= √ (139.67-106.71)

= √ 32.96

standard deviation Ô = 5.74

Calculate the stadard deviation.

Natural numbers are 11,21,17,9,3,5

Answer: 6.32

SOLUTION 1 :

Direct Method

x	= x²

3 5 9 17 21 11	9 25 81 289 441 121
∑x = 66	∑x²= 966

Here, n = 6

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

= √ $\frac{966}{6}$ - √ $\frac{(66}{6}$ )²

= √ (161.00 - 11.002)

= √ (161.00-121.00)

= √ 40.00

standard deviation Ô = 6.32

Calculate the stadard deviation.

Natural numbers are 13,21,15,8,2,4

Answer: 6.55

SOLUTION 1 :

Direct Method

x	= x²

2 4 8 15 21 13	4 16 64 225 441 169
∑x = 63	∑x²= 919

Here, n = 6

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

= √ $\frac{919}{6}$ - √ $\frac{(63}{6}$ )²

= √ (153.17 - 10.502)

= √ (153.17-110.25)

= √ 42.92

standard deviation Ô = 6.55

Calculate the stadard deviation.

Natural numbers are 12,21,15,9,2,6

Answer: 6.15

SOLUTION 1 :

Direct Method

x	= x²

2 6 9 15 21 12	4 36 81 225 441 144
∑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

Calculate the stadard deviation.

Natural numbers are 13,18,16,9,2,6

Answer: 5.58

SOLUTION 1 :

Direct Method

x	= x²

2 6 9 16 18 13	4 36 81 256 324 169
∑x = 64	∑x²= 870

Here, n = 6

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

= √ $\frac{870}{6}$ - √ $\frac{(64}{6}$ )²

= √ (145.00 - 10.672)

= √ (145.00-113.85)

= √ 31.15

standard deviation Ô = 5.58

Calculate the stadard deviation.

Natural numbers are 13,18,17,9,2,6

Answer: 5.76

SOLUTION 1 :

Direct Method

x	= x²

2 6 9 17 18 13	4 36 81 289 324 169
∑x = 65	∑x²= 903

Here, n = 6

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

= √ $\frac{903}{6}$ - √ $\frac{(65}{6}$ )²

= √ (150.50 - 10.832)

= √ (150.50-117.29)

= √ 33.21

standard deviation Ô = 5.76

10)

Calculate the stadard deviation.

Natural numbers are 10,19,16,9,3,6

Answer: 5.50

SOLUTION 1 :

Direct Method

x	= x²

3 6 9 16 19 10	9 36 81 256 361 100
∑x = 63	∑x²= 843

Here, n = 6

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

= √ $\frac{843}{6}$ - √ $\frac{(63}{6}$ )²

= √ (140.50 - 10.502)

= √ (140.50-110.25)

= √ 30.25

standard deviation Ô = 5.50