Measures of Center and Spread Quiz Review 2-12-24

What does it mean if a distribution is 'Skewed Right'?

• A distribution has a longer tail on the left side, indicating lower values.

• A distribution is perfectly symmetrical with no skewness.

• A distribution has a longer tail on the right side, indicating a few higher values pulling the mean up.

• A distribution has all values concentrated in the middle with no tails.

What does it mean if a distribution is 'Skewed Left'?

• A distribution has a longer tail on the right side, indicating higher values.

• A distribution is perfectly symmetrical with no skewness.

• A distribution has a longer tail on the left side, indicating that there are a few lower values pulling the mean down.

• A distribution has equal values on both sides, showing no variation.

What is the 'Mode' of a data set?

• The value that appears most frequently in a data set.

• The average of all values in a data set.

• The middle value when the data set is ordered.

• The highest value in a data set.

How do you determine which data set has the largest standard deviation?

• By visually inspecting the data sets for spread

• By calculating the mean of each data set

• By calculating the standard deviation for each set and comparing the values

• By finding the range of each data set

What is the importance of identifying outliers in a data set?

• They have no effect on the data analysis.

• They can significantly affect the mean and standard deviation, leading to misleading interpretations of the data.

• They are always removed from the data set before analysis.

• They help in increasing the sample size for better accuracy.

When is it appropriate to use the 'Mean' as a measure of center?

• When the data has no outliers, as outliers can skew the mean significantly.

• When the data is normally distributed with no extreme values.

• When the data is categorical and not numerical.

• When the data has a large sample size regardless of outliers.

How can you visually represent the distribution of a data set?

• Using line graphs

• Using histograms, box plots, or dot plots

• Using pie charts

• Using scatter plots

What is the formula for calculating Standard Deviation?

• σ = √(Σ(xi - μ)² / N)

• σ = Σ(xi - μ) / N

• σ = (Σxi) / N

• σ = √(Σ(xi - μ)²)

What does it mean if a data set is 'Uniform'?

• A uniform distribution is one where all outcomes are equally likely, meaning each value has the same frequency.

• A uniform distribution is one where outcomes are highly variable and not equally likely.

• A uniform distribution is one where the mean is significantly higher than the median.

• A uniform distribution is one where data points cluster around a central value.

What is the definition of 'Standard Deviation'?

• A measure of the average of a set of values.

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

• A method to calculate the median of a dataset.

• A technique used to find the mode of a dataset.