All categories

3 years ago

Find the mean absolute deviation (MAD) of the data in the dot plot below.

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer: 2 chocolate chips

Step-by-step explanation:

0+1+2+4+5+6/6=18/6=3

Next, let’s find the distance in each data point is from the mean.

0. 3-0=3

1. 3-1=2

2 3-2=1

4. 4-3=1

5. 5-3=2

6. 6-3=3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

3+2+1+1+2+3/6=12/6=2 chocolate chips

Source:khan academy c:

You might be interested in

Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relatio

romanna [79]

MY answer is p= d + 1d = 2p

3 0

4 years ago

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

bixtya [17]

The correct option is (b) h=0.5cos( $\pi$ /6t)+9.5.

The equations can be used to model the height as a function of time, t, in hours is h=0.5cos( $\pi$ /6t)+9.5.

<h3>Equation of cosine function:</h3>

The following is a presentation of the cosine function's generic form;

y = a + cos(bx - c) + d

amplitude = a

b = cycle speed

Calculation for the model height;

The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Obtain amplitude 'a' as

$\begin{aligned}a &=\frac{\text { Maximum value }-\text { Minimum value }}{2} \\a &=\frac{10-9}{2} \\a &=\frac{1}{2} \\a &=0.5\end{aligned}$

The time 'T' is calculated as-

$\begin{aligned}&\mathrm{T}=\frac{2 \pi}{\mathrm{b}} \\&12=\frac{2 \pi}{\mathrm{b}} \\&\mathrm{b}=\frac{2 \pi}{12} \\&\mathrm{~b}=\frac{\pi}{6}\end{aligned}$

Now, calculate 'd'

$\begin{aligned}&\mathrm{d}=\frac{\text { Maximum value }+\text { Minimum value }}{2} \\&\mathrm{~d}=\frac{10+9}{2} \\&\mathrm{~d}=\frac{19}{2} \\&\mathrm{~d}=9.5\end{aligned}$

Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:

h=0.5cos( $\pi$ /6t)+9.5

To know more about the general equation of a cosine function, here

brainly.com/question/27587720

#SPJ4

The complete question is-

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

A. h=0.5cos( $\pi$ /12t)+9.5

B. h=0.5cos( $\pi$ /6t)+9.5

C. h=cos( $\pi$ /12t)+9

D. h=cos( $\pi$ /6t)+9

7 0

2 years ago

Need help with 20y + 60 = 100

pychu [463]

Answer:

Step-by-step explanation:

puting right terms together to find value of y

4 0

3 years ago

Read 2 more answers

My number has a tens digit that is right more than the ones digit. Zero is not one of my digits. What is the 2 digit number that

Helen [10]

If right is supposed to be eight then answer is 81

3 0

3 years ago

What is the measure of angle x? (1 point)

poizon [28]

It’s 25 the answer is 4

6 0

3 years ago