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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

NY-6.SP.2

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

NY-6.SP.3

Recognize that a measure of center for a quantitative 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.

NY-6.SP.5

Summarize quantitative data sets in relation to their context.

NY-6.SP.5c

(c) Calculate range and measures of center, as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

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