Data Analysis Comprehensive Review

Front

Define Variance

Back

How much the values in a data set differ from the mean (average).

Front

What is the standard deviation for the data given: {12, 13, 29, 18, 61, 35, 21}?

Back

15.87

Front

List each set of data by color from the lowest standard deviation to the highest standard deviation.

Back

red, pink, green, blue

Front

What is the formula for Sample Variance?

Back

Sample Variance = Σ(xi - x̄)² / (n - 1), where xi is each value, x̄ is the sample mean, and n is the number of observations.

Front

68% of the data lies within:

Back

1 Standard Deviation of the Mean.

Front

Define Standard Deviation

Back

A measure of the amount of variation or dispersion in a set of values.

Front

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

Back

The values tend to be close to the mean of the set.

Front

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

Back

The values are spread out over a wider range.

Front

Explain the concept of the Normal Distribution.

Back

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 is the Empirical Rule?

Back

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