Topics
7. Statistics
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United States of AmericaUT
Grade 6

7.05 Mean absolute deviation (MAD)

Lesson
Practice

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 that 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, such as by:

6.SP.5.c

Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations (for example, outliers) from the overall pattern with reference to the context in which the data was gathered.

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