Question

based on the following calculator output, determine the inter - quartile range of the dataset.
1 - var - stats
$\bar{x}=98.22641509433963$
$sigma x = 15618$
$sigma x^{2}=1603212$
$sx = 20.914510899876102$
$sigma x = 20.84863826097835$
$n = 159$
$minx = 36$
$q_{1}=85$
$med = 98$
$q_{3}=111$
$maxx = 147$

Explanation:

Step1: Recall inter - quartile range formula

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

Step2: Identify $Q_1$ and $Q_3$ values

From the calculator output, $Q_1 = 85$ and $Q_3=111$.

Step3: Calculate the IQR

$IQR=111 - 85$.
$IQR = 26$

Answer:

26