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3 years ago

Which mean absolute value represents more consistency 15.2 or 10.9

Mathematics

1 answer:

pychu [463]3 years ago

8 0

Given :

Two mean absolute value deviation 15.2 and 10.9 .

To Find :

Which mean absolute value deviation represents more consistency 15.2 or 10.9 .

Solution :

First we should know what is mean absolute deviation ( M.A.D) is :

M.A.D of a data set is the average distance between each data value and the mean .

It also describe the variation in a data set .

Also , high variability means the data is spread out and low variability means that data is clustered .

So, low variation means more consistency and vice-versa .

Therefore , 10.9 M.A.D is more consistent .

Hence , this is the required solution .

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Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi

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Answer:

1/4 or 0.25

Step-by-step explanation:

The total possibilities of any 7 digit number using 0-9 is :

9×10×10×10×10×10×10=9000000

To work out the total possibilities in this question :

We look at the conditions :

The first digit can only be 5 numbers :

1 , 3 , 5 , 7 , 9

Now we subtract 5 from 9 :

9-5 = 4

Since no repeats for 2 , 3 , 4, 5, 6:

9 , 8 , 7 , 6 , 5,

5 possibilities for the last digit :

Total possibilities for this code :

4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400

If it begins with 5 that is only 1 possibility for the first digit

1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600

Now we make a fraction :

75600÷302400

Dividing top and bottom by 75600 gives you 1/4 or 0.25

Hope this helped and have a good day

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