Practice Standardization Process (4) - Normal Distribution - IB 10 Mathematics

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10 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the Z-score for X = 130 if X ~ N(120, 10)?
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Remember, Z is calculated as (X - μ) / σ.
Question 2.
What does a Z-score of 0 signify?
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Think about the position relative to the average.
3Question 3.
What does standardizing a normal variable help us achieve?
- A) Make it more complex
- B) Compute probabilities easily
- C) Reduce the mean
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Think about the purpose of the Z-table.
4Question 4.
True or False: When a Z-score is negative, it means the value is above the mean.
- True
- False
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Reflect on the Z-score definition.
Question 5.
A dataset has a mean of 150 and a standard deviation of 30. Find the Z-score for a value of 180 and interpret it.
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Standardize to interpret the position relative to the mean.
Question 6.
If a student needs to be in the top 10% for a test scored normally distributed with a mean 75 and a standard deviation of 10, what score must they achieve?
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Use Z-tables for percentile lookup.

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