Question

the five number summary of a dataset was found to be: 0, 3, 8, 17, 19. an observation is considered an outlier if it is below: blank. an observation is considered an outlier if it is above: blank. question help: video

Explanation:

Step1: Identify quartiles

The five - number summary gives the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum. Here, $Q_1 = 3$, $Q_3=17$.

Step2: Calculate the inter - quartile range (IQR)

$IQR=Q_3 - Q_1$. So, $IQR = 17 - 3=14$.

Step3: Calculate the lower fence

The lower fence for outliers is $Q_1-1.5\times IQR$. Substitute the values: $3-1.5\times14=3 - 21=-18$.

Step4: Calculate the upper fence

The upper fence for outliers is $Q_3 + 1.5\times IQR$. Substitute the values: $17+1.5\times14=17 + 21 = 38$.

Answer:

An observation is considered an outlier if it is below: - 18
An observation is considered an outlier if it is above: 38