Standard Deviation

Front

What does the symbol 'σ' represent?

Back

Standard Deviation

Front

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

Back

The data points are more spread out from the mean.

Front

What does a standard deviation of 0 mean?

Back

There is no spread of data.

Front

If two data sets have the same mean, can they have different standard deviations?

Back

Yes, they can have different standard deviations.

Front

What is the relationship between standard deviation and variance?

Back

Standard deviation is the square root of variance.

Front

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

Back

The data points are closer to the mean.

Front

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

Back

Approximately 68%.

Front

What is the formula for calculating standard deviation?

Back

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

Front

How does standard deviation help in comparing two data sets?

Back

It shows which data set has more variability.

Front

What does it mean if one data set has a standard deviation of 4.9 and another has 1.7?

Back

The first data set is more spread out than the second.