normal distribution

Multiple Choice

Which of the following best describes the shape of a normal distribution?

• Bell-shaped and symmetric

• Skewed to the right

• Flat and uniform

• U-shaped

Open Ended

Why do you think understanding the normal distribution is important in analyzing real-world data?

Multiple Choice

Which of the following is NOT a real-world example of a normal distribution?

• Test scores

• Heights of people

• Measurement errors

• Favorite ice cream flavors

Open Ended

Explain how symmetry and tapered ends help you identify a normal curve.

Multiple Choice

Which of the following statements about standard deviation (σ) is correct?

• A small σ means values are spread out far from the mean.

• A large σ means values are close to the mean.

• A small σ means values are close to the mean.

• Standard deviation does not measure spread.

Fill in the Blanks

Fill in the blank: The mean (μ) is the

of the curve and tells us where the peak is located.

Multiple Choice

Which parameters are equal in a perfectly normal distribution?

• Mean and mode

• Median and mode

• Mean and median

• Mean, median, and mode

Multiple Select

Which of these scenarios likely follow a normal distribution? Select all that apply.

• The distribution of scores on a well-balanced exam.

• Heights of adult women in a large population.

• Annual incomes of all workers in a country.

• Measurement errors in a high-precision lab experiment.

Open Ended

Explain how the normal distribution helps professionals make decisions in fields like medicine, education, or engineering.

Fill in the Blanks

The normal distribution is defined by the mean (__) for center and standard deviation (__) for spread.

Fill in the Blanks

The normal distribution is often described as

-shaped and symmetric.

Open Ended

What are some real-world examples where the normal distribution can be observed?