Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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 |
Mary has brought 8 pens which has been labeled with numbers then find out the standard deviation 2,5,9,6,7,2,5,8 |
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2 |
Step |
To find the mean \$\mu\$ = \$(2+5+9+6+7+2+5+8)/(8)\$ = \$44/8\$ = 5.5 |
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3 |
Step |
Subtracting each score from mean and square each deviation |
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4 |
Step |
Add the squared deviation \${X_i - \mu}^2\$ |
12.25+0.25+12.25+0.25+2.25+12.25+0.25+6.25 = 46 |
5 |
Step |
Divide the sum by number of scores to get the variance |
\$frac\{46}{8}\$ = 5.75 |
6 |
Step |
Take the square root of the squared deviation (or) variance |
\$\sqrt(5.75)\$ = 2.39 \$\approx\$ 2.4 |
7 |
Step |
Population standard deviation |
\$\sigma\$ = 2.4 |
8 |
Answer |
D |
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Tutor: Questions
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Problem |
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2 |
Clue |
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3 |
Hint |
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4 |
Step |
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Step |
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