Normal Curve

Front

What shape is a normal distribution curve?

Back

Bell curve

Tags

CCSS.6.SP.A.3

Front

TRUE or FALSE: There are two types of standard deviation: population and sample.

Back

True

Front

What is the standard deviation in a normal distribution if the data set has a standard deviation of 30?

Back

30

Front

The center of the normal curve represents what value of a data set?

Back

μ = population mean

Tags

CCSS.6.SP.A.2

Front

In a normal curve, how do the mean and median compare?

Back

The mean is equal to the median.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What does the area under the normal curve represent?

Back

The total probability of all outcomes, which equals 1.

Front

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

Back

Approximately 68%.

Tags

CCSS.HSS.ID.A.4

Front

What is the significance of the z-score in a normal distribution?

Back

It indicates how many standard deviations an element is from the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the empirical rule in relation to the normal distribution?

Back

It states that 68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3.

Tags

CCSS.HSS.ID.A.4

Front

What is the formula for calculating the z-score?

Back

z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.