Step-1

Title: Measures of variation- Population Standard deviation

Grade: 9-a Lesson: S2-L2

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

Step Type Explanation Answer

1

Problem

Four friends were comparing their scores on a recent essay.Find the standard deviation 6,2,3,1

2

Step

To find the mean \$\mu\$ = \$(6+2+3+1)/(4)\$ = \$12/4\$ =3

3

Step

Subtracting each score from mean and square each deviation
1

4

Step

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

9+1+0+4 =14

5

Step

Divide the sum by number of scores to get the variance

\$frac\{14}{4}\$ = 3.5

6

Step

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

\$\sqrt(3.5)\$ \$\approx\$ 1.87

7

Step

Population standard deviation

\$\sigma\$ = 1.87

8

Answer

D

Tutor: Questions

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1

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2

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