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3.3 ranking: quartiles, iqr and outliers given the 5 number summary for…

Question

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

minimumq1medianq3maximum

iqr:
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Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q3 - Q1$.

Step2: Identify Q1 and Q3 values

From the 5 - number summary, $Q1 = 8.5$ and $Q3 = 77$.

Step3: Calculate IQR

$IQR=77 - 8.5=68.5$

Answer:

$68.5$