Lesson S4.2.1
S4.2.1 Normal distribution as a model Quiz: Pearson Edexcel Maths, Unit 14
20 questions
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Lesson S4.2.1, Normal distribution as a model: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 14: Statistical distributions, written with Revision Ninja.
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The 20 questions
-
What is the shape of the probability density function for a normal distribution?
- Bell-shaped
- U-shaped
- Rectangular
- Skewed
-
How many parameters are needed to fully define a normal distribution?
- Two
- One
- Four
- Three
-
Which parameter determines the centre of a normal distribution curve?
- Mean
- Standard deviation
- Variance
- Median
-
Which parameter determines the spread of a normal distribution curve?
- Mean
- Degrees of freedom
- Standard deviation
- Sample size
-
What is the theoretical range of a continuous normal random variable?
- Negative infinity to infinity
- Zero to one
- Negative one to one
- Zero to infinity
-
What is the total area under any normal distribution probability density curve?
- 100
- 0
- 1
- 0.5
-
What is the relationship between the mean, median and mode in a normal distribution?
- They are equal
- Mean is largest
- They are unrelated
- Median is largest
-
What type of variable is modelled by a normal distribution in statistics?
- Categorical
- Binomial
- Continuous
- Discrete
-
Approximately what percentage of data lies within one standard deviation of the mean?
- 68%
- 50%
- 95%
- 99%
-
Approximately what percentage of data lies within two standard deviations of the mean?
- 99%
- 90%
- 68%
- 95%
-
Where are the inflection points of a standard normal curve located?
- Plus or minus infinity
- Plus or minus two
- Zero
- Plus or minus one
-
If X is N(20, 16), what is the value of the standard deviation?
- 16
- 8
- 4
- 256
-
If X is N(50, 9), what is the value of the variance?
- 81
- 3
- 45
- 9
-
If X is N(10, 4), what is P(X = 10)?
- 0
- 1
- 0.25
- 0.5
-
If a normal distribution has mean 30 and standard deviation 5, what is P(X > 30)?
- 1
- 0
- 0.5
- 0.34
-
Which real-world dataset is typically modelled well by a normal distribution?
- Income distribution
- Rolls of a die
- Shoe sizes
- Adult heights
-
What does standardisation convert a normal distribution variable into?
- Z
- X
- T
- Y
-
What is the variance of the standard normal distribution Z?
- 0.5
- 0
- 1
- Square root of 2
-
What is the mean of the standard normal distribution Z?
- -1
- 0
- 1
- 0.5
-
What is the probability of a continuous normal random variable taking any exact single value?
- Undefined
- Infinity
- Zero
- One
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