Exploring Mean, Median, Mode, Range, and Outliers

This video tutorial explains how to calculate statistical measures such as mean, median, mode, range, and outliers. It provides definitions and step-by-step examples using different data sets to illustrate each concept. The tutorial emphasizes the importance of organizing data and checking calculations for accuracy.

What is the first step in calculating the mean of a data set?

• Order the numbers from least to greatest

• Find the middle number

• Add all the numbers together

• Subtract the smallest number from the largest

How do you find the median in a data set?

• Calculate the difference between the highest and lowest numbers

• Arrange the numbers and find the middle one

• Identify the number that appears most frequently

• Add all numbers and divide by the total count

What is the mean of the data set 24, 12, 15, 17, 12, 2, 20?

• 17

• 14.6

• 15

• 12

What defines the mode of a data set?

• The middle number when arranged in order

• The number that appears most frequently

• The average of all numbers

• The difference between the highest and lowest numbers

How is the range of a data set determined?

• By subtracting the smallest number from the largest

• By adding all the numbers

• By finding the average of the numbers

• By identifying the most frequent number

In a data set, if two numbers are in the middle when arranged in order, how is the median found?

• By adding one to the larger number

• By selecting the smaller of the two

• By averaging the two numbers

• By choosing the larger of the two

If a data set has no number that appears more than once, what is the mode?

• The set has no mode

• The mean of the set

• The median of the set

• The range of the set

Which of the following best describes an outlier in a data set?

• The difference between the highest and lowest numbers

• The most common number

• The middle number

• A number significantly different from others

What is the range of the data set 5, 9, 7, 7, 9, 6?

• 7

• 6

• 5

• 4

Which of the following numbers from the data set 23, 118, 91, 132, 120, 116, 98, 32 could be considered an outlier?

• 32

• 91

• 118

• 132