Measures of Central Tendency

The video tutorial explains measures of center, including mean, median, and mode, and how they are used to analyze data. It provides examples of calculating each measure and discusses the concept of range as a measure of data spread. The tutorial concludes with an application of these concepts to a data set.

What is a measure of center?

• A value that represents the spread of data

• A value that represents the lowest data point

• A value that represents the highest data point

• A value that represents the center of a data set

Which of the following is NOT a measure of center?

• Mean

• Median

• Range

• Mode

How is the mean of a data set calculated?

• By finding the middle value of the data set

• By adding all data points and dividing by the number of points

• By identifying the most frequently occurring value

• By subtracting the smallest value from the largest value

What does the mean represent in a data set?

• The most frequently occurring value

• The middle value when data is ordered

• A fair share concept of the data

• The difference between the highest and lowest values

In the example with test scores of 82 and 96, what is the mean?

• 178

• 82

• 96

• 89

What is the first step in finding the median of a data set?

• Subtract the smallest value from the largest

• Arrange the data in order from least to greatest

• Identify the most frequent value

• Add all data points together

If a data set has an even number of values, how is the median found?

• By selecting the highest value

• By taking the average of the two middle numbers

• By selecting the lowest value

• By choosing any random value

What is the median of the data set: 9, 11, 11, 12, 14, 16, 17, 19?

• 14

• 13

• 12

• 11

What does the mode represent in a data set?

• The most frequently occurring value

• The middle value when data is ordered

• The average of all data points

• The difference between the highest and lowest values

Can a data set have more than one mode?

• Yes, it can have multiple modes

• No, it cannot have any mode

• No, it can only have one mode

• Yes, but only if all values are the same