3.3 ranking: quartiles, iqr and outliers\ngiven the 5 number summary for a set of data, find the iqr…
3.3 ranking: quartiles, iqr and outliers\ngiven the 5 number summary for a set of data, find the iqr (interquartile range)\n| minimum | q1 | median | q3 | maximum |\n| ---- | ---- | ---- | ---- | ---- |\n| 2 | 32.5 | 58 | 79 | 94 |\niqr: \nquestion help: video message instructor post to forum\nsubmit question
Answer
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:
$46.5$