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Instead of considering a data value to be an outlier if it is​ "very far away...

Instead of considering a data value to be an outlier if it is​ "very far away from almost all of the other data​ values," consider an outlier to be a value that is above

Upper Q 3Q3

by an amount greater than

1.5times×IQR

or below

Upper Q 1Q1

by an amount greater than

1.5times×IQR.

Use the data set given below to find​ (a) the​ 5-number summary,​ (b) the interquartile range​ (IQR), and​ (c) any outliers.

33

44

55

66

77

1010

1313

1414

1414

1818

2222

3535

5050

  

math   Statistics-And-Probability   
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Answer #1

(a)

Statistical file:
{33, 44, 55, 66, 77, 1010, 1313, 1414, 1414, 1818, 2222, 3535, 5050}

Minimum: 33
Quartile Q1: 60.5
Median: 1313
Quartile Q3: 2020
Maximum: 5050

(b)

IQR=Q3-Q1

=2020-60.5

=1959.5

(c)

outliers= 5050

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