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The five number summary of a dataset was found to be:
45, 52, 56, 61, 69

1 Answer

7 votes

Explanation:

Given the five summary of a data set:

45 - min

52 - Q1

56 - Median

61 - Q3

69- Max

Thus, any number less than Q1-(1.5×IQR)

, or any number that is greater than

Q3+ (1.5 × IQR) would be considered an outlier.

The IQR of the data set = Q3 - Q1 = 61-

52 = 9

Thus,

Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5

Therefore, an observation is considered

an outlier if it is below: 38.5

Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5

Therefore, an observation is considered

an outlier if it is above: 74.5

User Komal Bansal
by
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