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zheka24 [161]
3 years ago
11

Can someone show me how to do Mean absolute deviation

Mathematics
1 answer:
morpeh [17]3 years ago
5 0
To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
\mu=\frac{10.7+2.4}2=\frac{13.1}2=6.55
For the second set:
\mu=\frac{13.7+2.5}2=\frac{16.2}2=8.1

To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
For the first set: 
MAD=\frac{|10.7-6.55|+|2.4-6.55|}2=\frac{4.15+4.15}2=\frac{8.3}2=4.15
For the second set:
MAD=\frac{|13.7-8.1|+|2.5-8.1|}2=\frac{5.6+5.6}2=\frac{11.2}2=5.6
Note that when you only have two data points the mean is directly between them, which is why the distances are the same.

The means-to-MAD ratio is simply that, divide one by the other and that's it.
For the first set:
6.55\div4.15=1.57831325
For the second set:
8.1\div5.6=1.44642857
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Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

X=4+Y

or Y=X-4

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.



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A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o
Komok [63]

Answer:  Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}} , where \overline{x} = sample mean, n= sample size, s= sample standard deviation, t_{\alpha/2} = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

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Critical t-value : t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622

So, the 95 percent confidence interval estimate for the​ mean :

242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)

The 95 percent confidence interval estimate for the​ mean:(190.14, 295.06)

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3 years ago
(15 POINTS) (FOLLOW DIRECTIONS ON ATTACHMENT!)
zmey [24]

Answer:

1. 5 / 6

2. 1 / 3

3. 3 / 6 or  1 / 2

Step-by-step explanation:

The probability that A is not yellow is 5 / 6

The probability that B is blue is 1 / 3

The probability that A is red is 3 / 6 or 1 / 2

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3 years ago
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