Step-1

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

Sample of 3 pens drawn from the box.Find the standard deviation 12,24,41

2

Step

To find the mean \$\barX\$ = \$(12+24+41)/(3)\$ = \$77/3\$ = 25.6

3

Step

subtracting each score from mean and square each deviation
1

4

Formula:

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

184.96+2.56+237.16 = 424.68

5

Step

Divide the sum by number of scores to get the variance

\$frac\{424.68}{3-1}\$ = \$frac\{424.68}{2}\$ = 212.34

6

Step

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

\$\sqrt(212.34)\$ \$\approx\$ 14.57

7

Step

sample standard deviation

\$s\$ = 14.57

8

Answer

A

Tutor: Questions

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1

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2

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3

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5

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