1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitriy789 [7]
3 years ago
7

Which pair of statements correctly compares the two data sets?

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0
As a rule option A is the answer to a degree
olga2289 [7]3 years ago
4 0

Answer:

<h2>A. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.</h2>

Step-by-step explanation:

The mean absolute deviation is defined by

MAD=\frac{\sum (x- \mu)}{N}

Where \mu is the mean and N is the total number of elements.

First, we find each mean.

<h3>Blue data set.</h3>

\mu_{blue}  = \frac{1+2+4+4+5+5+6+7+9+9+9+11}{12} =\frac{72}{12}= 6

<h3>Green data set.</h3>

\mu_{green}=\frac{1+3+4+6+6+6+7+9+9+10+10+13}{12}=  \frac{84}{12}=7

As you can observe, they have a difference of 1 unit regarding their means.

Now, let's find each MAD.

<h3>Blue data set.</h3>

First, we find the difference between the mean and each data, to then sum all differences.

1 - 6 = |-5|

2 - 6 = |-4|

4 - 6 =|-2|

4 - 6 = |-2|

5 - 6 = |-1|

5 - 6 =|-1|

6 - 6 = 0

7 - 6 = |1|

9 - 6 = |3|

9 - 6 = |3|

9 - 6 =| 3|

11 - 6 =| 5|

Which gives a total of 30.

Then,

MAD=\frac{30}{12}=2.5

<h3>Green data set.</h3>

We repeat the process.

1 - 7 = |-6|

3 - 7 =|-4|

4 - 7 = |-3|

6 - 7 = |-1|

6 - 7 = |-1|

6 - 7 =| -1|

7 - 7 = 0

9 - 7 = |2|

9 - 7 = |2|

10 - 7 =| 3|

10 - 7 = |3|

13 - 7 =|6|

Which gives a total of 32.

Then,

MAD=\frac{32}{12} \approx 2.67

Notice that half of each mean is greater than one.

Therefore, the choice A is correct.

You might be interested in
Make a conjecture about the next item in the sequence<br> 1, 1, 2, 3, 5, 8
Marizza181 [45]
It would be 13 because you are adding 5 and 8
6 0
3 years ago
Read 2 more answers
The diameter of your bicycle wheel is 34inches
Bingel [31]
That does not make sense sorry :(
5 0
3 years ago
Math question down below
klio [65]
The dog with the weight of 110lbs is the outlier in the equation--since the other dogs only range from 20 to 35 lbs.
7 0
2 years ago
Read 2 more answers
G is between F and H, FG = 8, and FH = 12.<br> Find GH.<br> O GH= 4<br> O GH = 12<br> O GH = 5
ANEK [815]

Answer:

GH = 4

Step-by-step explanation:

Since G is between F and H then

FG + GH = FH , that is

8 + GH = 12 ( subtract 8 from both sides )

GH = 4

5 0
3 years ago
Read 2 more answers
Write the expression as a square of a binomial:<br><br> 1/4 a^2+2ab^2+4b^4
vaieri [72.5K]

Answer:

a+b=mx+b

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the area of this trapezoid?<br><br> 175 in²<br> 140 in²<br> 129 in²<br> 85 in²
    6·2 answers
  • What is the decimal equivalent of the fraction?
    10·2 answers
  • Solve for x:<br><br> 17x - 12 = 114 + 3x<br><br> Thanks!
    11·2 answers
  • 3/a times x-4=20<br> What is x?
    9·1 answer
  • What is the graph of this function?​
    7·1 answer
  • What is the sum of three tenths plus thirty nine hundredths equals blank a thirty six hundredths b forty two hundredths c sixty
    8·1 answer
  • Answer please I’m dying from math
    5·1 answer
  • I need help ASAP!!
    5·2 answers
  • Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes
    9·1 answer
  • Find the measure of the angle indicated.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!