# 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

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
Less than a minute

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.

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

$3$3, $12$12, $24$24, $2$2, $40$40, $10$10, $9$9 and $4$4

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

$2$2, $10$10, $12$12, $4$4, $24$24 and $20$20.

### 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 center, spread, and overall shape.

#### 6.SP.A.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.B.5

Summarize numerical data sets in relation to their context, such as by:

#### 6.SP.B.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 from the overall pattern with reference to the context in which the data was gathered.