Normal Distribution

Which term describes a distribution that is continuous, symmetric, and bell-shaped?

• Histogram

• Bar Chart

• Scatter Plot

• Normal Curve

Which of the following is a property of a normal curve?

• It is skewed to the right.

• It has multiple peaks.

• It is symmetric about the mean.

• It is a closed figure connected to the y-axis.

How do changes in the mean and standard deviation affect the normal distribution curve?

• Changing the mean shifts the curve horizontally, while changing the standard deviation affects the curve's spread.

• Changing the mean affects the curve's height, while changing the standard deviation shifts the curve vertically.

• Changing the mean has no effect on the curve, while changing the standard deviation shifts the curve horizontally.

• Changing the mean and standard deviation both affect the curve's height and spread.

In a standard normal distribution, if the mean (μ) is equal to zero, what is the standard deviation (σ)?

• 0

• 0.5

• 1

• 2

What is the area under the normal curve between the mean and z = 1.25?

• 0.3944

• 0.3949

• 0.3962

• 0.3987

What is the area under the normal curve between the mean and z = -1.75?

• 0.0401

• 0.0409

• 0.4591

• 0.4599

What is the area under the normal curve between the z-scores -1.50 and 1.25?

• 0.7745

• 0.7888

• 0.8044

• 0.8192

Find the area under the normal curve to the left of z = 1.50.

• 0.8508
• 0.9772
• 0.9332
• 0.8413

What is the area under the normal curve to the right of a z-score of 2.05?

• 0.0500
• 0.1000
• 0.0100
• 0.0202

Which z-score corresponds to the 90th percentile of a standard normal distribution?

• 0.75
• 1.28
• 1.64
• 0.95