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find the interquartile range. round your answer to one decimal place as…

Question

find the interquartile range. round your answer to one decimal place as needed.
iqr =
part 2 of 2
part: 1 / 2
identify the five - number summary. round your answers to one decimal place as needed.
low = 108, q₁ = 156.5, md = 299.0, q₃ = 394.0, high = 414
send data to excel
338 390 414 260 110 108 398 203

Explanation:

Step1: Recall the formula for IQR

The inter - quartile range \(IQR = Q_{3}-Q_{1}\).

Step2: Substitute the values of \(Q_{3}\) and \(Q_{1}\)

Given \(Q_{1}=156.5\) and \(Q_{3}=394.0\). Then \(IQR=394.0 - 156.5\).

Step3: Calculate the result

\(IQR=394.0-156.5 = 237.5\)

Answer:

\(237.5\)