Practice Example Problems (20.6) - Normal Distribution - Mathematics - iii (Differential Calculus)

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the Z-score for a value of 90 when the mean is 75 and standard deviation is 5?
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Use the Z-score formula: Z = (X - μ) / σ.
Question 2.
If the mean is 50 and standard deviation is 10, what is the probability of scoring below the mean?
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Consider the properties of normal distribution.
3Question 3.
What is the mean in the Normal Distribution?
- Mode
- Median
- Average
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Consider what the term 'mean' refers to in statistics.
4Question 4.
Z-scores can only be positive.
- True
- False
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Think about how Z-scores are calculated.
Question 5.
Given a mean of 50 and standard deviation of 5, find the probability of obtaining a score greater than 60.
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Calculate the Z-score and refer to the Z-table.
Question 6.
Determine the range for which 95% of the data lies in a normal distribution with a mean of 200 and standard deviation of 30.
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Recall the Empirical Rule.

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