Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Standardized scores or z-scores |
Grade: 9-a Lesson: S2-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
What is the z-score of the price of a pair of skis that cost $247, if the mean ski price is $279, with a standard deviation of $16? |
|
2 |
Step |
x = $247 , \$\mu\$ = $279 , \$\sigma\$ = $16 |
|
3 |
Formula: |
z-score = \$\frac{x- \mu}{\sigma}\$ |
|
4 |
Step |
Put x = 247 in the formula |
z-score = \$\frac{247- \mu}{\sigma}\$ |
5 |
Step |
Then substract the mean by substution |
z-score = \$\frac{247- 279}{\sigma}\$ = \$\frac{-32}{\sigma}\$ |
6 |
Step |
Divide the obtained value by standard devation \$\sigma\$ = 16 |
z-score = \$\frac{-32}{16}\$ |
7 |
Step |
z-score at $247 |
-2 |
8 |
Hint |
measured value 247 is less than mean 279 |
z-score is negative |
9 |
Answer |
D |
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Tutor: Questions
| Seq | Type | Question | Audio |
|---|---|---|---|
1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
How can we improve the Steps? |
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