Question

based on the following calculator output, determine the inter - quartile range of the dataset. 1 - var - stats $\bar{x}=272.3609022556391$ $sigma x = 36224$ $sigma x^{2}=9916490$ $sx = 19.557350918192967$ $sigma x = 19.483688317773158$ $n = 133$ $minx = 226$ $q_{1}=260.5$ $med = 274$ $q_{3}=283$ $maxx = 328$

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is given by the formula $IQR = Q_3 - Q_1$.

Step2: Identify $Q_1$ and $Q_3$ values

From the calculator output, $Q_1 = 260.5$ and $Q_3=283$.

Step3: Calculate IQR

$IQR=283 - 260.5=22.5$

Answer:

$22.5$