Normal Distribution and Its Properties Quiz

The shape and position of a normal distribution curve depends on two parameters, the mean and the standard deviation.

• True

• False

The curve of a normal distribution extends indefinitely at the tails.

• True

• False

The shape of the normal probability distribution is symmetric about the median.

• True

• False

The mean affects both the width and the height of the curve.

• True

• False

The area under a normal curve and above the horizontal axis is 1.

• True

• False

The spread of the curve depends on the mean of the distribution.

• True

• False

The graph is a continuous curve with the domain, −∞ < 𝐱 < +∞

• True

• False

The area under the normal curve to the right of the mean is 0.5.

• True

• False

The maximum point of a normal curve occurs at the mean of the distribution.

• True

• False

Approximately, 68.3% of the values in the distribution are within 1.5 standard deviation of the mean.

• True

• False