Analyzing Measures of Central Tendency

What is a measure of central tendency?

• A single value that represents a data set

• A graphical representation of data

• A complex calculation of data variability

• A method to determine data distribution

Which of the following is NOT a measure of central tendency?

• Mode

• Median

• Range

• Mean

How is the mean calculated?

• By subtracting the smallest value from the largest

• By identifying the most frequently occurring value

• By dividing the sum of all values by the number of values

• By finding the middle value in an ordered set

What does the mean represent in a data set?

• The most frequent value

• The middle value

• The difference between the highest and lowest values

• The average value

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

• Average the two middle numbers

• Choose the middle number after ordering the set

• Select the most frequent number

• Subtract the smallest value from the largest

What is the mode of a data set?

• The average of all values

• The middle value of an ordered set

• The difference between the highest and lowest values

• The value that appears most frequently

In which scenario might the mode be considered the least useful measure?

• When data points vary greatly

• When data points do not repeat

• When most data points are similar

• When there are multiple modes

How do outliers affect the mean?

• They do not affect the mean

• They can skew the mean significantly

• They cause the mean to represent the data more accurately

• They reduce the mean's value

What is the range in a data set?

• The middle value

• The most frequent value

• The average of all values

• The difference between the highest and lowest values

Why might the median be a better measure than the mean in the presence of outliers?

• It is easier to calculate

• It is not affected as much by extreme values

• It shows the range of the data

• It always represents the most frequent value