Question

based on the following calculator output, determine the inter - quartile range of the dataset.
1 - var - stats
$\bar{x}=210.34254143646407$
$sigma x = 38072$
$sigma x^{2}=8369432$
$sx = 44.800220884310335$
$sigma x = 44.676291958424216$
$n = 181$
$minx = 45$
$q_{1}=178$
$med = 214$
$q_{3}=242$
$maxx = 311$

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_3 - Q_1$, where $Q_3$ is the third - quartile and $Q_1$ is the first - quartile.

Step2: Identify $Q_1$ and $Q_3$ values

From the calculator output, $Q_1 = 178$ and $Q_3=242$.

Step3: Calculate IQR

$IQR=Q_3 - Q_1=242 - 178$
$IQR = 64$

Answer:

64