In the data set below, what is the mean absolute deviation? 5, 1, 3, 6, 6, 9 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): _____

Calculate Mean: Calculate the mean of the data set 5, 1, 3, 6, 6, 9. Sum of the data points: 5 + 1 + 3 + 6 + 6 + 9 = 30. Number of data points: 6. Mean = 30 / 6 = 5.Find Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 5 = |5 - 5| = 0. Absolute deviation for 1 = |1 - 5| = 4. Absolute deviation for 3 = |3 - 5| = 2. Absolute deviation for 6 = |6 - 5| = 1. Absolute deviation for 6 = |6 - 5| = 1. Absolute deviation for 9 = |9 - 5| = 4.Calculate Mean Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 0 + 4 + 2 + 1 + 1 + 4 = 12. Mean absolute deviation = 12 / 6 = 2.0.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the data set below, what is the mean absolute deviation? $\newline$ $5, 1, 3, 6, 6, 9$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ mean absolute deviation (MAD): $\_\_$

View step-by-step help

Home

Math Problems

Grade 8

Calculate mean absolute deviation

Full solution

Q. In the data set below, what is the mean absolute deviation?

\newline

5, 1, 3, 6, 6, 9

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD):

\_\_

Calculate Mean: Calculate the mean of the data set $5, 1, 3, 6, 6, 9$ . $\newline$ Sum of the data points: $5 + 1 + 3 + 6 + 6 + 9 = 30$ . $\newline$ Number of data points: $6$ . $\newline$ Mean = $\frac{30}{6} = 5$ .
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $5$ = $|5 - 5| = 0$ . $\newline$ Absolute deviation for $1$ = $|1 - 5| = 4$ . $\newline$ Absolute deviation for $3$ = $|3 - 5| = 2$ . $\newline$ Absolute deviation for $6$ = $|6 - 5| = 1$ . $\newline$ Absolute deviation for $6$ = $|6 - 5| = 1$ . $\newline$ Absolute deviation for $|5 - 5| = 0$ $0$ = $|5 - 5| = 0$ $1$ .
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $0 + 4 + 2 + 1 + 1 + 4 = 12$ . $\newline$ Mean absolute deviation = $\frac{12}{6} = 2.0$ .