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Mean Deviation

This document defines and provides the formula for calculating mean deviation, which is a measure of variation that uses all the scores in a distribution. It is more reliable than range. Mean deviation is calculated by finding the absolute difference between each score and the mean, summing the absolute differences, and dividing by the number of observations. Two examples of calculating mean deviation for sets of data are provided, along with exercises asking students to find the mean deviation of additional data sets and define standard deviation.

Education◦
MATH
WELCOMEMATH
MA TH MEAN DEVIATION (for ungrouped data)
MA TH Definition: The MEAN DEVIATION, or average deviation, is the dispersion of the data about the mean of these data.
MA TH Definition: The MEAN DEVIATION is a measure of variation that makes use of all the scores of the distribution.
MA TH The MEAN DEVIATION is more reliable than the RANGE.
MA TH Formula M.D. = ∑|x – x| n (for ungrouped data) where x is the scores of the distribution x is the meann is the number of observations
Steps 1. Find the mean of the scores. 2. Find the absolute difference between each score and the mean. 3. Get the sum of the absolute differences. 4. Divide it by n.
Ex. 1 Find the mean deviation of the given set of data. 85 96 76 108 85 80 85 100 70 95
Ex. 2 Find the mean deviation of the given set of data. 3 13 11 11 5 4 2
You Can Do It! Work-In-Pair  Two Heads Are Better Than One Find the mean deviation. 1. Science achievement test scores: 60, 75, 80, 85, 90, 95 2. Height (in cm) of five grade 7 students: 150, 154, 148, 156, 150
HOME WORK Learning is fun!  Answer the following. 1. Define STANDARD DEVIATION. 2. What are the steps in computing the standard deviation for ungrouped data?