Practice Properties Of The Normal Distribution (2) - Normal Distribution

Practice: Properties of the Normal Distribution

Lesson 2Normal Distribution

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the total area under the curve of a normal distribution?
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Think about probabilities.
Question 2.
In a normal distribution, how do the mean, median, and mode relate?
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Remember the symmetry property.
3Question 3.
What is meant by the term 'normal distribution'?
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Think about real-world data patterns.
4Question 4.
Approximately what percentage of data falls within ±2 standard deviations of the mean?
- 68%
- 95%
- 99%
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Recall the Empirical Rule percentages.
Question 5.
A factory produces bulbs with a lifespan normally distributed between 800 and 1000 hours with a mean of 900 and a standard deviation of 50. What range of lifespans would you expect approximately 95% of the bulbs to fall within?
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Think how many standard deviations from the mean encompass 95%.
Question 6.
If the heights of a specific group of people are normally distributed with a mean of 160 cm and a standard deviation of 15 cm, what percentage of this group is expected to have heights between 145 cm and 175 cm?
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Find how many standard deviations away from the mean these heights are.

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