Standard Deviation

Front

What does standard deviation represent?

Back

How spread out each data value is from the mean.

Front

What does a higher standard deviation indicate about a data set?

Back

The data values are more spread out from the mean.

Front

What does a lower standard deviation indicate about a data set?

Back

The data values are closer to the mean.

Front

What is the symbol for standard deviation?

Back

σ (sigma)

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 variance in relation to standard deviation?

Back

Variance is the square of the standard deviation.

Front

If the standard deviation is zero, what does that imply about the data set?

Back

All data values are identical and equal to the mean.

Front

How does standard deviation help in comparing two data sets?

Back

It shows which data set has more variability.

Front

What is the relationship between standard deviation and the normal distribution?

Back

In a normal distribution, about 68% of data falls within one standard deviation of the mean.

Front

What does it mean if one data set has a higher standard deviation than another?

Back

It means that the first data set has more variability in its values.