In the data set below, what is the mean absolute deviation? 5, 9, 1, 7, 7, 4 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, 9, 1, 7, 7, 4. Sum of data points: 5 + 9 + 1 + 7 + 7 + 4 = 33. Number of data points: 6. Mean = 33 / 6 = 5.5.Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. Absolute deviation for 5 = |5 - 5.5| = 0.5. Absolute deviation for 9 = |9 - 5.5| = 3.5. Absolute deviation for 1 = |1 - 5.5| = 4.5. Absolute deviation for 7 = |7 - 5.5| = 1.5. Absolute deviation for 7 = |7 - 5.5| = 1.5. Absolute deviation for 4 = |4 - 5.5| = 1.5.Find Mean of Deviations: Find the mean of the absolute deviations. Sum of absolute deviations: 0.5 + 3.5 + 4.5 + 1.5 + 1.5 + 1.5 = 13.5. Mean absolute deviation = 13.5 / 6 = 2.25.Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 2.25 rounded to the nearest tenth is 2.3.

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? $\newline$ $5, 9, 1, 7, 7, 4$ $\newline$ 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, 9, 1, 7, 7, 4

\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 $5, 9, 1, 7, 7, 4$ . $\newline$ Sum of data points: $5 + 9 + 1 + 7 + 7 + 4 = 33$ . $\newline$ Number of data points: $6$ . $\newline$ Mean = $\frac{33}{6} = 5.5$ .
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $5$ = $|5 - 5.5| = 0.5$ . $\newline$ Absolute deviation for $9$ = $|9 - 5.5| = 3.5$ . $\newline$ Absolute deviation for $1$ = $|1 - 5.5| = 4.5$ . $\newline$ Absolute deviation for $7$ = $|7 - 5.5| = 1.5$ . $\newline$ Absolute deviation for $7$ = $|7 - 5.5| = 1.5$ . $\newline$ Absolute deviation for $|5 - 5.5| = 0.5$ $0$ = $|5 - 5.5| = 0.5$ $1$ .
Find Mean of Deviations: Find the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $0.5 + 3.5 + 4.5 + 1.5 + 1.5 + 1.5 = 13.5$ . $\newline$ Mean absolute deviation = $\frac{13.5}{6} = 2.25$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $2.25$ rounded to the nearest tenth is $2.3$ .