In this math video we will solve a math problem by comparing data sets using mean and MAD. We will understand that mean represents the average of a set of data. We will understand that MAD represents the Mean Absolute Deviation of a data set. The mean absolute deviation of a data set describes the variation of the data relative to the mean. A low MAD means the data is very close to the mean. The higher the MAD the more the data varies from the mean. We will review fair and random relative to a data set. In review, the lower the MAD, the more meaningful the MEAN is as a measure of representing the data. An exemplar solution is modeled and explained.
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00:00 Introduction
00:17 The Question
01:32 Understanding the Problem
01:44 Fair and Random Samples
02:40 Mean Absolute Deviation - Variation in Data
03:11 Comparing Two Data Sets
03:26 The Greater MEAN
04:03 The Lesser MAD
04:27 The Solution
Statistics and Probability
Draw informal comparative inferences about two populations.
7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
7.SP.B.4 Determine the possible mean and mean absolute deviation for two sets of data in a real-world context.