Step-3

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

Allen brought 10 dolls and 5 were selected.Find the standard deviation on the price of dolls $2.5,$5.3,$1.2,$0.6,$0.8

2

Step

To find the mean \$\barX\$ = \$(2.5+5.3+1.2+0.6+0.8)/(5)\$ = \$10.4/5\$ = 2.08

3

Step

subtracting each score from mean and square each deviation
1

4

Step

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

0.17+10.36+0.77+2.19+1.63 = 15.12

5

Step

Divide the sum by number of scores to get the variance

\$frac\{15.12}{5-1}\$ = \$frac\{15.12}{4}\$ = 3.78

6

Step

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

\$\sqrt(3.78)\$ \$\approx\$ 1.94

7

Step

Sample standard deviation

\$s\$ = 1.94

8

Answer

B

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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