Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the data set below, what is the mean absolute deviation? $\newline$ $2, 1, 2, 5, 6, 8$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ mean absolute deviation (MAD): $\_\_$

View step-by-step help

View step-by-step help

Calculate mean absolute deviation

Full solution

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

\newline

2, 1, 2, 5, 6, 8

\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 $2, 1, 2, 5, 6, 8$ .
Sum of data points: $2 + 1 + 2 + 5 + 6 + 8 = 24$ .
Number of data points: $6$ .
Mean = rac{24}{6} = 4.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $2$ = $|2 - 4| = 2$ . $\newline$ Absolute deviation for $1$ = $|1 - 4| = 3$ . $\newline$ Absolute deviation for $2$ again = $|2 - 4| = 2$ . $\newline$ Absolute deviation for $5$ = $|5 - 4| = 1$ . $\newline$ Absolute deviation for $6$ = $|6 - 4| = 2$ . $\newline$ Absolute deviation for $|2 - 4| = 2$ $0$ = $|2 - 4| = 2$ $1$ .
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $2 + 3 + 2 + 1 + 2 + 4 = 14$ . $\newline$ Mean absolute deviation = $\frac{14}{6} = 2.3333$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $2.3333$ rounded to the nearest tenth is $2.3$ .

More problems from Calculate mean absolute deviation

Question

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

\newline

6,3,1,6,6

\newline

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

\newline

mean absolute deviation (MAD): _____

Posted 2 months ago

Question

Look at this set of

8

60, 38, 93, 14, 23, 81, 12, 64

, How would the range change if the number

18

replaced the number

12

\newline

\newline

\newline

\newline

Posted 1 month ago

Question

Liam has the following data:

20,7,x,20

. If the mean is

14

, which number could

x

\newline

\newline

(A)9

\newline

(B)21

Posted 2 months ago

Question

g=15-\frac{m}{32}

\newline

If Vera starts with a full tank of gas, the number of gallons of gas,

g

, left in the tank after driving

m

miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

\newline

1

\newline

15

\newline

17

\newline

32

\newline

480

Posted 4 months ago

Question

x-3 y=8

\newline

y^{2}=x-4 y-2

\newline

(x, y)

is a solution to the system of equations shown, which of the following are

y

-coordinates of the solutions?

\newline

1

\newline

-1

-3

\newline

14

2

\newline

-2

3

\newline

2

-3

Posted 2 months ago

Question

Which of the following expressions is equivalent to

-2 x y+18

\newline

1

\newline

-2(x y-9)

\newline

-2(x y+9)

\newline

2(x y-9)

\newline

2(x y+9)

Posted 1 month ago

Question

What is the value of

\tan \left(\frac{\pi}{3}\right)

\newline

1

\newline

\frac{1}{2}

\newline

\frac{\sqrt{3}}{3}

\newline

\frac{\sqrt{3}}{2}

\newline

\sqrt{3}

Posted 4 months ago

Question

Which of the following is the value of

\tan (\pi)

\newline

1

\newline

1

\newline

0

\newline

-1

\newline

\tan (\pi)

Posted 4 months ago

Question

Which of the following is the value of

\sin \left(\frac{\pi}{2}\right) ?

\newline

1

\newline

-1

\newline

0

\newline

\frac{\sqrt{2}}{2}

\newline

1

Posted 4 months ago

Question

\begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array}

\newline

The given system of equations has solution

(x, y)

. What is the value of

x

Posted 1 month ago