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? $\newline$ $6, 7, 1, 5, 5, 3$ $\newline$ 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

6, 7, 1, 5, 5, 3

\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 $6, 7, 1, 5, 5, 3$ . $\newline$ Sum of data points: $6 + 7 + 1 + 5 + 5 + 3 = 27$ . $\newline$ Number of data points: $6$ . $\newline$ Mean = $\frac{27}{6} = 4.5$ .
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $6$ = $|6 - 4.5| = 1.5$ . $\newline$ Absolute deviation for $7$ = $|7 - 4.5| = 2.5$ . $\newline$ Absolute deviation for $1$ = $|1 - 4.5| = 3.5$ . $\newline$ Absolute deviation for $5$ = $|5 - 4.5| = 0.5$ . $\newline$ Absolute deviation for $5$ = $|5 - 4.5| = 0.5$ . $\newline$ Absolute deviation for $|6 - 4.5| = 1.5$ $0$ = $|6 - 4.5| = 1.5$ $1$ .
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $1.5 + 2.5 + 3.5 + 0.5 + 0.5 + 1.5 = 10.5$ . $\newline$ Mean absolute deviation = $\frac{10.5}{6} = 1.75$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $1.75$ rounded to the nearest tenth is $1.8$ .

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