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WorksheetsG11 Stat Normal Distribution
Total questions: 10
Worksheet time: 5mins
What is the shape of a normal distribution curve?
Skewed to the left
Skewed to the right
Symmetrical bell-shaped curve
U-shaped
Define the mean, median, and mode in the context of a normal distribution.
Mean = highest point, Median = average value, Mode = center point
Mean = center point, Median = highest point, Mode = average value
Mean = average value, Median = center point, Mode = highest point
Mean = center point, Median = center point, Mode = center point
How does the standard deviation affect the width of a normal distribution curve?
Higher standard deviation = narrower curve
Higher standard deviation = wider curve
Standard deviation does not affect the width
Standard deviation makes the curve asymmetrical
What percentage of data falls within one standard deviation of the mean in a normal distribution?
34%
50%
68%
95%
Explain the concept of z-scores in relation to a normal distribution.
Measures the spread of data
Represents the distance from the mean in standard deviations
Determines the mode of the distribution
Calculates the median value
Describe the characteristics of a standard normal distribution.
Mean = 0, Standard Deviation = 1
Mean = 1, Standard Deviation = 0
Mean = 0, Standard Deviation = 0
Mean = 1, Standard Deviation = 1
If a data set is normally distributed, what percentage of data falls below the mean?
25%
50%
68%
95%
How do you calculate the area under a normal distribution curve for a given range of values?
Use the median
Use the mode
Use z-scores
Use integration or lookup tables
What is the empirical rule, and how is it applied in a normal distribution?
States that 90% of data falls within 2 standard deviations of the mean
Describes the characteristics of an exponential distribution
Outlines the percentage of data within 1, 2, and 3 standard deviations from the mean
Predicts the mode of a distribution
In constructing a normal distribution curve, what are the key components that need to be determined or known?
Mean and median
Median and mode
Mean and standard deviation
Mode and standard deviation
