Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
John has scored marks in 5 subjects then what is the standard deviation 55,69,78,49,99 |
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2 |
Step |
To find the mean \$\mu\$ = \$(55+69+78+49+99)/(5)\$ = \$350/5\$ = 70 |
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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\$ |
225+1+64+441+771= 1502 |
5 |
Step |
Divide the sum by number of scores to get the variance |
\$frac\{1502}{5}\$ = 300.4 |
6 |
Step |
Take the square root of the squared deviation (or) variance |
\$\sqrt(300.4)\$ \$\approx\$ 17.33 |
7 |
Step |
Population standard deviation |
\$\sigma\$ = 17.33 |
8 |
Answer |
A |
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Tutor: Questions
| Seq | Type | Question | Audio |
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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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5 |
Step |
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