Explanation Definition used: Mean: Mean is the ratio of the sum of observations and the number of observations. The formula for mean is given by x ¯ = ∑ x n . Median: The median is the mid-value of a set of ranked data. Mode: The mode is the piece of data that occurs most frequently. Midrange: The midrange of a set of data is given by Midrange = lowest value + highest value 2 . Calculation: The set of data are − 18 , − 3 , + 1 , − 4 , − 16 , − 12 , + 2 , + 2 , − 12 , − 4 , + 3 , − 5 , − 8 , − 11 , − 10 , + 5 . Mean is calculated as follows. x ¯ = − 18 − 3 + 1 − 4 − 16 − 12 + 2 + 2 − 12 − 4 + 3 − 5 − 8 − 11 − 10 + 5 16 = − 90 16 = − 5.63 To find the median, write the given data in an increasing order or a decreasing order. The increasing order is as follows. − 18 , − 16 , − 12 , − 12 , − 11 , − 10 , − 8 , − 5 , − 4 , − 4 , − 3 , + 1 , + 2 , + 2 , + 3 , + 5

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ISBN: 9780073519678

Author: David Sobecki Professor, Allan G. Bluman

Publisher: McGraw-Hill Education

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Chapter 12.3, Problem 9TTO

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To find: The mean, median, mode, and midrange for the 16 data.

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Chapter 12.3, Problem 8TTO

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The mean, median, mode, and midrange for the 16 data.

Solution Summary: The author explains the mean, median, mode, and midrange for the 16 data. The 8th and 9th numbers are the middle terms.

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To find: The mean, median, mode, and midrange for the 16 data.

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