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Sliva [168]
3 years ago
15

What is the mean absolute deviation of the data set?

Mathematics
1 answer:
Ronch [10]3 years ago
5 0

Answer:

the mean absolute deviation of the data set is 2.

Step-by-step explanation:

To calculate the mean absolute deviation of a data set, we need to follow the following steps:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean (always keeping a possitive distance).

Step 3: Calculate the mean of the deviations.

Step 1: The mean of the data set is:

Mean = (12 + 10 + 10 + 8 + 6+ 7 + 7 + 12)/8 = 72/8 = 9

Step 2:

{12 -9, 10-9, 10-9, 9-8, 9-6, 9-7, 9-7, 12-9} = {3, 1, 1, 1, 3, 2, 2, 3}

Step 3: (3 + 1 + 1 + 1 + 3 + 2 + 2 + 3)/8 = 2

In conclusion, the mean absolute deviation of the data set is 2. Which corresponds to the option B.

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P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?
77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

  • They have two factors only 1 and itself
  • All the them are odd numbers except 2 is an even number
  • 1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

  which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0
3 years ago
7 1/7 divided by 10/11 simplify
Klio2033 [76]
Exact Form:
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620
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Decimal Form:
8.05194805
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8.05194805
Mixed Number Form:
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Find the midpoint (9,1), (8,-4)
Aleks04 [339]

Answer:

Midpoint (9,1,(8-4)  =  (8.5, -1.5)  

step-by step:Midpoint (9,1, 8-4)=(xA+xB2,yA+yB2)=(9+82,1+−42)=(172,−32)Midpoint of a line segment (9,1, 8-4)= (8.5, -1.5)

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marta [7]

A is 1/2 the size of B.

You would divide B by 2 to get 12/2

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3. What is the value of 42 – 2(3 • 5+ 1)?
sp2606 [1]

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Step-by-step explanation:

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