Exploring Measures of Central Tendency and Dispersion

What symbol is used to represent the mean in statistics?

• Pi

• Sigma

• Mu

• X bar

What are the three measures of central tendency discussed?

• Mean, Variance, Standard Deviation

• Mean, Median, Variance

• Range, Median, Mode

• Mean, Median, Mode

Which measure of central tendency is best used when there's an outlier?

• Range

• Mode

• Mean

• Median

What does an outlier significantly affect in a data set?

• Mean

• All of the above

• Mode

• Median

What is the range calculated from?

• Highest and lowest values

• Mean and median values

• All data points

• First and last data points

What does a large range indicate about a data set?

• Wide spread of data

• Data is closely packed

• Data is uniformly distributed

• No variability

Why can't steps involving squaring and square roots in standard deviation calculation be skipped?

• They can be skipped

• None of the above

• To make the calculation complex

• Because of the averaging step

What does a small standard deviation indicate?

• Data points are close to the mean

• Data points are spread out

• No correlation in data

• High variability in data

What is the first step in calculating standard deviation?

• Find the mean

• Calculate the variance

• Square the differences

• Subtract the mean from each data point

What does the variance represent in the context of standard deviation?

• Square root of mean deviations

• Sum of deviations

• Average of squared deviations

• None of the above