Step-4

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

Following are the salaries of 3 teachers in a school of this month.Find the standard deviation 12,8,10

2

Step

To find the mean \$\mu\$ = \$(12+8+10)/(3)\$ = \$30/3\$ = 10

3

Step

Subtracting each score from mean and square each deviation
1

4

Step

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

4+4+0 = 8

5

Step

Divide the sum by number of scores to get the variance

\$frac\{8}{3}\$ = 2.66

6

Step

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

\$\sqrt(2.66)\$ = 1.63 \$\approx\$ 1.6

7

Step

Population standard deviation

\$\sigma\$ = 1.6

8

Answer

B

Tutor: Questions

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2

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