Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
There are 40 students in class and 4 students were picked,there weights were recorded as follows.Find the standard deviation 12,16,19,10 |
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2 |
Step |
To find the mean \$\barX\$ = \$(12+16+19+10)/(4)\$ = \$57/4\$ =14.25 |
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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 - \barX}^2\$ |
5.06+3.06+22.56+18.06 = 48.74 |
5 |
Step |
Divide the sum by number of scores to get the variance |
\$frac\{48.74}{4-1}\$ = \$frac\{48.74}{3}\$ = 16.24 |
6 |
Step |
Take the square root of the squared deviation (or) variance |
\$\sqrt(16.24)\$ \$\approx\$ 4.03 |
7 |
Step |
sample standard deviation |
\$s\$ = 4.03 |
8 |
Answer |
B |
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Tutor: Questions
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1 |
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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