Deviation in Data Sets

What is the deviation of an individual data entry, x, in a population data set?

• A) x - x̄

• B) x + μ

• C) x - μ

• D) μ - x

How is the deviation of an individual data entry, x, calculated in a sample data set?

• A) x - μ

• B) x + x̄

• C) x̄ - x

• D) x - x̄

What does the symbol σ² represent in the context of statistics?

• Population mean

• Sample variance

• Population variance

• Sample standard deviation

How is the population standard deviation (σ) calculated from the population variance (σ²)?

• σ = σ²

• σ = √σ²

• σ = σ / N

• σ = N / σ²

What does the symbol µ represent in the formulas for population variance and population standard deviation?

• Sample mean

• Population mean

• Sample standard deviation

• Population standard deviation

What does the symbol N represent in the formulas for population variance and population standard deviation?

• Number of samples

• Population mean

• Number of populations

• Total number of observations in the population

What does the standard deviation measure in a data set?

• The average value of the data set

• The variation of the data set about the mean

• The total sum of all the data entries

• The difference between the highest and lowest values

What is true about the standard deviation when it is 0?

• The data set contains only negative numbers

• The data set has maximum variation

• The data set has no variation and all entries have the same value

• The data set is not valid

As the entries in a data set get farther from the mean, what happens to the value of the standard deviation?

• It decreases

• It remains constant

• It increases

• It becomes negative

Which of the following is a measure of the spread of data values in a data set?

• A) Mean

• B) Median

• C) Range

• D) Mode

Tags

CCSS.6.SP.A.3