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-BARSIC- [3]
3 years ago
5

What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12} 1 2 6 9

Mathematics
1 answer:
zalisa [80]3 years ago
7 0
The M.A.D of the data set is 2.
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Serjik [45]
I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.


In this png, we have something to make sure.

∠B=∠DAB
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This also means AD=BD
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This is our basic construction of D, which is going to help us.

∠ADC=∠DAB+∠B=2∠B=∠CAB
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∠CAD=∠CAB−∠DAB=∠B
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These are based on the fact that ∠A=2×∠B
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Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
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Similarity makes us realize the following:

ACBC=ADAB
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and

ACBC=CDAC
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C
B
C
=
C
D
A
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So

AC×AB=BC×AD
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A
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and

AC2=BC×CD
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So

BC2=BC×(BD+CD)=BC×(AD+CD)
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(
B
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+
C
D
)
=
B
C
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(
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D
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)

=AC×AB+AC2
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2

Q.E.D.
2.4k Views ·
6 0
2 years ago
what is the monthly payment for a loan if the amount to finance is 12,385, the APR is 6.9 percent for 5 years and the monthly pa
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__

The equation is ...

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