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7.05 Mean absolute deviation (MAD)

Interactive practice questions

Which of the following is true concerning the mean absolute deviation of a set of data?

It describes the average distance between each data value and the mean.

A

It describes the variation of the data values around the median.

B

It describes the absolute value of the mean.

C

It describes the variation of the data values around the mode.

D
Easy
< 1min

Calculate the mean absolute deviation of the values below, by answering each question.

$2$2, $8$8, $6$6, $3$3, $10$10, $15$15, $6$6 and $6$6.

State your answer to 2 decimal places if necessary.

Easy
3min

The scores of six diving attempts by a professional diver are identical.

State the Mean absolute deviation (MAD) of the scores.

Easy
< 1min

Which of the following has the greater MAD?

Easy
< 1min
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Outcomes

6.SP.2

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

6.SP.3

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

6.SP.5

Summarize numerical data sets in relation to their context.

6.SP.5c

Find the quantitative measures of center (median and/or mean) for a numerical data set and recognize that this value summarizes the data set with a single number. Interpret mean as an equal or fair share. Find measures of variability (range and interquartile range) as well as informally describe the shape and the presence of clusters, gaps, peaks, and outliers in a distribution.

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