Understanding Standard Deviation

Front

What does the symbol 'σ' represent?

Back

Standard Deviation

Front

Order the following dot plots from least to greatest standard deviation: A, B, C, D.

Back

A, D, C, B

Front

In a normal distribution, what percent of the data is in the shaded region if it represents the area under the curve?

Back

50%

Tags

CCSS.HSS.ID.A.4

Front

Around __% of scores are within 1 standard deviation of the mean.

Back

68%

Tags

CCSS.HSS.ID.A.4

Front

What does variance represent?

Back

How spread out each data value is from the mean.

Front

What is the formula for calculating standard deviation?

Back

σ = √(Σ(x - μ)² / N) where μ is the mean and N is the number of data points.

Front

What is the relationship between standard deviation and variance?

Back

Standard deviation is the square root of variance.

Front

If the standard deviation is low, what does that indicate about the data?

Back

The data points are close to the mean.

Front

If the standard deviation is high, what does that indicate about the data?

Back

The data points are spread out over a wider range of values.

Front

What is the empirical rule in statistics?

Back

In a normal distribution, approximately 68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3.

Tags

CCSS.HSS.ID.A.4