Question

The five number summary of a dataset was found to be: 47, 54, 67, 69, 70 An observation is considered an outlier if it is below: An observation is considered an outlier if it is above:

Answer 1

Answer:

Below 31.5 or above 91.5

Step-by-step explanation:

Given that the five number summary of a dataset was found to be: 47, 54, 67, 69, 70

This can be written as

Minimum: 347

Quartile Q1: 54

Median: 67

Quartile Q3: 69

Maximum: 7 0

We calculate Inter quartile range as

IQR = Q3-Q1 = $69-54=15$

We find an item to be an outlier if it is either below 1.5 IQR from Q1 or above 1.5 IQR from Q3

Here we say an outlier if item is either below $54-1.5*15\\= 31.5$

Or above $69+1.5*15\\=91.5$