Standard Deviation

Front

What is Standard Deviation?

Back

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

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, add all the numbers in the data set together and then divide by the total number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the formula for Standard Deviation?

Back

The formula for Standard Deviation (σ) is: σ = √(Σ(xi - μ)² / N), where μ is the mean, xi represents each value, and N is the number of values.

Front

What does a standard deviation of 0 indicate?

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A standard deviation of 0 indicates that all values in the data set are identical and there is no variation.

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What is the difference between population standard deviation and sample standard deviation?

Back

Population standard deviation is calculated using all members of a population, while sample standard deviation is calculated using a subset of the population.

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 does the symbol 'σ' represent?

Back

The symbol 'σ' represents the standard deviation of a population.

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What is a normal distribution?

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

Back

Approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

Tags

CCSS.HSS.ID.A.4

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

Tags

CCSS.6.SP.B.5C