Question

3.3 ranking: quartiles, iqr and outliers
given the 5 number summary for a set of data, find the iqr (interquartile range)

minimum	q1	median	q3	maximum

iqr:
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Explanation:

Step1: Recall the formula for IQR

The inter - quartile range (IQR) is given by the formula $IQR = Q3 - Q1$, where $Q1$ is the first quartile and $Q3$ is the third quartile.

Step2: Identify Q1 and Q3 values

From the 5 - number summary, $Q1 = 32.5$ and $Q3=79$.

Step3: Calculate the IQR

$IQR=79 - 32.5=46.5$

Answer:

$46.5$