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Step-5

Title: Measures of variation- Sample Standard deviation

Grade: 9-a Lesson: S2-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Step	Type	Explanation	Answer
1	Problem	6 tires with labels are picked for testing from manufacturer to find the standard deviation.9,5,6,1,7,2
2	Step	To find the mean \$\barX\$ = \$(9+5+6+1+7+2)/(6)\$ = \$30/6\$ = 5
3	Step	subtracting each score from mean and square each deviation $1$
4	Step	Add the squared deviation \${X_i - \barX}^2\$	16+0+1+16+4+9 = 46
5	Step	Divide the sum by number of scores to get the variance	\$frac\{46}{6-1}\$ = \$frac\{46}{5}\$ = 9.2
6	Step	Take the square root of the squared deviation (or) variance	\$\sqrt(9.2)\$ \$\approx\$ 3.03
7	Step	Sample standard deviation	\$s\$ = 303
8		Answer	D

Step

Type

Explanation

Answer

Problem

6 tires with labels are picked for testing from manufacturer to find the standard deviation.9,5,6,1,7,2

Step

To find the mean \$\barX\$ = \$(9+5+6+1+7+2)/(6)\$ = \$30/6\$ = 5

Step

subtracting each score from mean and square each deviation
$1$

Step

Add the squared deviation \${X_i - \barX}^2\$

16+0+1+16+4+9 = 46

Step

Divide the sum by number of scores to get the variance

\$frac\{46}{6-1}\$ = \$frac\{46}{5}\$ = 9.2

Step

Take the square root of the squared deviation (or) variance

\$\sqrt(9.2)\$ \$\approx\$ 3.03

Step

Sample standard deviation

\$s\$ = 303

Answer

Tutor: Questions

Seq	Type	Question
1	Problem	What did you learn from this problem?
2	Clue	What did you learn from the clues?
3	Hint	What did you learn from the Hints?
4	Step	What did you learn from the Steps?
5	Step	How can we improve the Steps?

Seq

Type

Question

Audio

Problem

What did you learn from this problem?

Clue

What did you learn from the clues?

Hint

What did you learn from the Hints?

Step

What did you learn from the Steps?

Step

How can we improve the Steps?