Understanding Mean, Median, Mode, and Range

The video tutorial explains how to analyze a data set by calculating the mean, median, mode, and range. It begins with an introduction to these concepts, followed by detailed steps to compute each one. The mean is calculated by dividing the sum of data values by the number of values. The median is found by ordering the data and identifying the middle value, or averaging the two middle values if the data set is even. The mode is the most frequently occurring value, and the range is the difference between the maximum and minimum values. The tutorial provides examples and uses a calculator for demonstration.

What is the first step in analyzing a data set for mean, median, mode, and range?

• Calculate the mean

• Order the data from greatest to least

• Order the data from least to greatest

• Find the mode

How do you calculate the mean of a data set?

• Find the middle value

• Add all values and divide by the number of values

• Multiply all values together

• Subtract the smallest value from the largest

What is the mean of a data set with a sum of 993 and 10 values?

• 101.3

• 98.3

• 100.3

• 99.3

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

• By taking the average of the two middle values

• By selecting the largest value

• By finding the most frequent value

• By selecting the smallest value

What is the median of the data set: 95, 96, 97, 98, 99, 100, 101, 102, 103, 104?

• 96.5

• 100.5

• 95.5

• 99.5

In a data set with values 1, 5, 9, 15, and 20, what is the median?

• 20

• 15

• 9

• 5

What defines the mode of a data set?

• The smallest value

• The average of all values

• The largest value

• The most frequently occurring value

In a data set, which value is the mode if 119 appears three times?

• 119

• 73

• 96

• 95

How is the range of a data set calculated?

• By adding the smallest and largest values

• By subtracting the smallest value from the largest

• By finding the average of all values

• By counting the number of values

What is the range of a data set with a maximum value of 119 and a minimum value of 73?

• 36

• 46

• 66

• 56