Normal Curve

In a normal curve, what is the relationship between the mean and the median?

• The mean is greater than the median.

• The mean is less than the median.

• The mean is equal to the median.

• The mean and median are not related.

Which measure is located at the center of the Normal Curve?

• Median

• Mode

• Mean

• Range

How does the normal curve relate to probability?

• The area under the curve represents the total probability of all outcomes.

• The curve indicates the most likely outcome only.

• The height of the curve shows the probability of individual outcomes.

• The normal curve is unrelated to probability.

What percentage of data falls within one standard deviation of the mean in a normal distribution?

• 50%

• 68%

• 75%

• 95%

What is a z-score in relation to the normal curve?

• A z-score indicates how many standard deviations an element is from the mean.

• A z-score represents the probability of a value occurring within a normal distribution.

• A z-score is a measure of the total area under the normal curve.

• A z-score is the average value of a dataset.

What is the significance of the inflection points in a normal curve?

• They are points where the curve changes concavity, located at one standard deviation from the mean.

• They represent the highest point of the curve.

• They indicate the mode of the distribution.

• They are points where the curve intersects the x-axis.

In a normal distribution, what is the mode?

• The value that appears most frequently, which is also the same as the mean and median.

• The value that is the highest in the dataset.

• The value that divides the dataset into two equal halves.

• The value that is least frequently occurring.

What is the area under the normal curve equal to?

• 0.5 (or 50%)

• 1 (or 100%)

• 2 (or 200%)

• 0 (or 0%)

What percentage of data falls within two standard deviations of the mean in a normal distribution?

• 68%

• 75%

• 95%

• 99%

What percentage of data falls within three standard deviations of the mean in a normal distribution?

• 95%

• 99.7%

• 90%

• 85%