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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.A.2

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its measures of center (mean, median, mode), measures of variation (range only), and overall shape.

6.SP.A.3

Recognize that a measure of center (mean, median, mode) 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.B.5

Summarize numerical data sets in relation to their context.

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