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# Statistics Topic

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STATISTICS What is the mode? The statistical mode is the number that occurs most frequently in a set of numbers. To find the mode of a group of numbers: • Arrange the numbers in order by size. • Determine the number of instances of each numerical value. • The numerical value that has the most instances is the mode. • There may be more than one mode when two or more numbers have an equal number of instances and this is also the maximum instances • A mode does not exist if no number has more than one instance. • Example: The mode of 2, 4, 5, 5, 5, 7, 8, 8, 9, 12 is 5. Try this! Find the mode of the following sets of numbers: 90, 80, 89, 90, 91, 90, 92, 89, 87 mode = ______ 12, 10, 10, 11, 12, 12, 13, 11, 14 mode = ______ What is the mean? The statistical mean is commonly called the average. To find the mean of a group of numbers: • Add the numbers together • Divide by how many numbers were added together • Example: The mean of 4, 9, 5, 3, 2, 5, 3, 9, 4, 6 is 4 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try this! 88, 87, 90, 91, 95, 66, 89 mean = ______ 35, 25, 38, 27, 40, 35, 33, 25, 17 mean = ______ What is the range? The statistical range is the difference between the lowest and highest valued numbers in a set of numbers. To find the range of a group of numbers: • Arrange the numbers in order by value; • Subtract the smallest number from the largest number. Try this! Find the range in the following sets of numbers: 100, 89, 88, 45, 32, 77, 80, 90 range = _______ 66, 79, 38, 44, 82, 87, 99, 50, 56, 93 range = _______ What is the median? The statistical median is middle number of a group of numbers that have been arranged in order by size. If there is an even number of terms, the median is the mean of the two middle numbers: To find the median of a group of numbers: • Arrange the numbers in order by value; • If there is an odd number of terms, the median is the center term. • If there is an even number of terms, add the two middle terms and divide by 2. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try this! Determine the median of the following sets of numbers: 14, 12, 10, 6, 7, 11, 10, 16, 9, 10, 9 median = ______ 22, 23, 20, 19, 21, 33, 20, 18, 16 median = ______ 50, 54, 45, 66, 73, 68, 55, 67, 55, 41, 65, 59 median = ______ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.