Describing Distribution

Front

What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Front

What is the mean in a data set?

Back

The mean is the average of all data points in a set, calculated by dividing the sum of all values by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What does standard deviation measure?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means that the values are spread out over a wider range.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Tags

CCSS.HSS.ID.A.4

Front

What is skewness in a distribution?

Back

Skewness refers to the asymmetry of the distribution of values in a dataset. A right-skewed distribution has a longer tail on the right side, while a left-skewed distribution has a longer tail on the left side.

Front

How do you calculate the z-score?

Back

The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation: z = (X - μ) / σ.

Front

What is variance?

Back

Variance is a measure of how far a set of numbers are spread out from their average value. It is the average of the squared differences from the mean.

Front

What does it mean if a distribution is symmetrical?

Back

A symmetrical distribution is one where the left and right sides of the distribution are mirror images of each other, meaning the mean, median, and mode are all equal.

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is a box plot?

Back

A box plot is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1