Data Set Analysis and Averages

This video tutorial explains how to find the mean, median, mode, and range of a data set. It begins with ordering the data from least to greatest, then calculates the mean by summing all values and dividing by the number of values. The median is identified as the middle value, with special instructions for even-numbered sets. The mode is discussed as the most frequent value, noting that a set can have one, multiple, or no modes. Finally, the range is calculated by subtracting the smallest value from the greatest.

What is the first step in analyzing a data set?

• Order the data from least to greatest

• Determine the range

• Find the mode

• Calculate the mean

How do you calculate the mean of a data set?

• Add all values and divide by the number of values

• Subtract the smallest value from the largest

• Find the middle value

• Identify the most frequent value

If a data set has seven values, what is the mean if their sum is 147?

• 23

• 22

• 20

• 21

What is the mean of a data set with values 21, 24, 26, and 30?

• 26

• 24

• 25

• 25.25

What is the median in a data set with an odd number of values?

• The difference between the largest and smallest values

• The most frequent value

• The average of all values

• The middle value

How is the median determined in a data set with an even number of values?

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

• By subtracting the smallest value from the largest

• By averaging the two middle numbers

• By finding the most frequent value

What is the median of the data set: 21, 24, 26, 30, 35?

• 26

• 21

• 24

• 30

If a data set has values 10, 20, 30, 40, what is the median?

• 25

• 20

• 30

• 35

What does the mode represent in a data set?

• The most frequently occurring value

• The difference between the largest and smallest values

• The middle value

• The sum of all values

Can a data set have more than one mode?

• No, it cannot have any mode

• Yes, it can have multiple modes

• No, it can only have one mode

• Yes, but only if all values are the same