Measures of Central Tendency

What is the mean of a data set?

• The lowest value in the data set

• The highest value in the data set

• The middle value when data points are ordered

• The sum of all data points divided by the number of data points

How do you find the median in a data set with an odd number of observations?

• Select the highest number

• Average the two middle numbers

• Average all numbers

• Select the middle number

What is the median of a data set with an even number of observations?

• The average of the two middle numbers

• The highest number

• The lowest number

• The middle number

What does the Greek letter sigma represent in the equation for mean?

• The number of data points

• The sum of all data points

• The mean of a sample

• The value of each data point

What is the mean of the test scores given in the example?

• 90%

• 89%

• 87.2%

• 85%

In a symmetric data distribution with no outliers, which measure of center is more appropriate?

• Range

• Median

• Mode

• Mean

What happens to the mean when there are outliers in the data set?

• It remains unchanged

• It is pulled towards the outliers

• It becomes the median

• It decreases

In a skewed data set, which measure of center is usually more reliable?

• Mean

• Range

• Median

• Mode

How does the presence of outliers affect the median?

• It doubles the median

• It makes the median equal to the mean

• It has little to no effect on the median

• It significantly changes the median

Why is the median considered more appropriate when there are outliers?

• It is affected by all data points

• It is always higher than the mean

• It is easier to calculate

• It is resistant to extreme values