Mai took a survey of students in her class to find out how many hours they spend reading each week. Here are some summary statistics for the data that Mai gathered: mean: 8.5 hours standard deviation: 5.3 hours median: 7 hours Q1: 5 hours Q3: 11 hours

Respuesta :

Answer:

Step-by-step explanation:

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According to the IQR rule, values greater than 20 hours are outliers. Hence, a value such as 21 is an outlier.

The IQR rule :

Outliers are defined thus :

Q1 - 1.5(IQR)

Q3 + 1.5(IQR)

The IQR = Q3 - Q1 :

  • Q3 = 11 ; Q1 = 5

IQR = 11 - 5 = 6 hours

Outlier above the Upper boundary:

  • Q3 + 1.5(IQR)

11 + 1.5(6) = 11 + 9 = 20 hours

Outlier below the Lower boundary :

  • Q1 - 1.5(IQR)

5 - 1.5(6) = 5 - 9 = - 4 hours

Therefore, values below - 4 or greater than 20 are outliers. Hence, a value greater than the median and would be an outlier is 22 hours

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