Lesson Example Discussion Quiz: Class Homework |
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 |
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1 |
Problem |
Sample of 3 pens drawn from the box.Find the standard deviation 12,24,41 |
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2 |
Step |
To find the mean \$\barX\$ = \$(12+24+41)/(3)\$ = \$77/3\$ = 25.6 |
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3 |
Step |
subtracting each score from mean and square each deviation |
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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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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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