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rewona [7]
3 years ago
15

Which values are outliers ?

Mathematics
2 answers:
Minchanka [31]3 years ago
4 0
5.8 0.8 5.9 6.1 and 10.9 are all correct answers.

Hope this Helped!

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:D
:)
;)
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:'D
SVEN [57.7K]3 years ago
4 0

Answer:

0.8 and 1.1 are outliers of the given data set.

Step-by-step explanation:

The given data set is

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Arrange the data set in ascending order

0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9

Divide the data in four equal parts.

(0.8, 1.1), 4.9,( 5.2, 5.8), 5.9,( 6.1, 6.1), 7.4, (10.2, 10.9)

From the above division we get,

Q_1=4.9

Median=5.9

Q_3=7.4

The interquartile range of the data is

IQR=Q_3-Q_1

IQR=7.4-4.9=2.5

If all the data elements lies in the interval [Q₁-1.5(IQR),Q_3+1.5(IQR)], then the data set has no outliers.

[Q_1-1.5(IQR),Q_3-1.5(IQR)]=[4.9-1.5(2.5),7.4-1.5(2.5)]=[1.15,11.15]

Since all the elements lie in the interval [1.15,11.15] except 0.8 and 1.1, therefore 0.8 and 1.1 are outliers.

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