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Travka [436]
3 years ago
14

Which data set has an outlier?

Mathematics
2 answers:
Mumz [18]3 years ago
5 0

Answer:

The correct option is D. 3 is an outlier.

Step-by-step explanation:

A data set has outliers if the data lie out side the interval

I=[Q_1-1.5\times IQR,Q_3+1.5\times IQR]

The interquartile range of a data set is

IQR=Q_3-Q_1

For option A, the required interval is [5.5, 25.5]. Since all the data lie in this interval, therefore this data set has no outliers.

For option B, the required interval is [-5, 19]. Since all the data lie in this interval, therefore this data set has no outliers.

For option C, the required interval is [-2.5, 17.5]. Since all the data lie in this interval, therefore this data set has no outliers.

For option D,

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

(3, 6), 7, (7, 8),( 8, 9), 9,( 9, 10)

Q_1=7, Q_3=9

IQR=Q_3-Q_1=9-7=2

I=[Q_1-1.5\times IQR,Q_3+1.5\times IQR]

I=[7-1.5\times 2,9+1.5\times 2]

I=[7-3,9+3]

I=[4,12]

3 lies out side the interval [4,12]. It means this data set has an outlier, i.e,.

Therefore correct option is D.

polet [3.4K]3 years ago
3 0
The answer to your question is: D it has 3
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Answer:

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Step-by-step explanation:

Given;

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              C

              ↓

               ↑

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If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

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2 years ago
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Step-by-step explanation:

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How o I get the awnser to 9s+3=57 I need help asap im in 8th grade
PIT_PIT [208]
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Then divide both sides by 9.
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You can check it by plugging it back into the equation.
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