Standard Deviation - Basic

Front

What does the symbol 'σ' represent?

Back

Standard Deviation

Front

What does the symbol 'μ' represent?

Back

Mean

Front

What is the formula for calculating Standard Deviation?

Back

σ = √(Σ(x - μ)² / N) where x is each value, μ is the mean, and N is the number of values.

Front

If the mean is 50 and the standard deviation is 5, what is the value 1 standard deviation above the mean?

Back

55

Front

If the mean is 100 and the standard deviation is 10, what is the value 2 standard deviations below the mean?

Back

80

Front

In a normal distribution, what percentage of data falls within 1 standard deviation of the mean?

Back

Approximately 68%.

Tags

CCSS.HSS.ID.A.4

Front

In a normal distribution, what percentage of data falls within 2 standard deviations of the mean?

Back

Approximately 95%.

Tags

CCSS.HSS.ID.A.4

Front

In a normal distribution, what percentage of data falls within 3 standard deviations of the mean?

Back

Approximately 99.7%.

Tags

CCSS.HSS.ID.A.4

Front

What is the relationship between standard deviation and data spread?

Back

A larger standard deviation indicates more spread out data, while a smaller standard deviation indicates data that is closer to the mean.

Front

If a dataset has a mean of 30 and a standard deviation of 4, what is the range of values that fall within 1 standard deviation of the mean?

Back

26 to 34.