Question

find the first quartile for this data set. q1 = 432.2 find the third quartile for this data set. q3 = 571.6 find the interquartile range for this data set. iqr = 139.4 find the lower fence separating outliers from usual values. fencelow = find the upper fence separating outliers from usual values. fencehigh = question help: message instructor post to forum

Explanation:

Step1: Recall the formula for lower and upper fences

The lower fence is calculated as $Q_1 - 1.5\times IQR$ and the upper fence is calculated as $Q_3+ 1.5\times IQR$, where $Q_1$ is the first - quartile, $Q_3$ is the third - quartile and $IQR$ is the inter - quartile range.

Step2: Calculate the lower fence

We know that $Q_1 = 432.2$ and $IQR=139.4$.
$Fence_{low}=Q_1 - 1.5\times IQR=432.2-1.5\times139.4$
$=432.2 - 209.1$
$=223.1$

Step3: Calculate the upper fence

We know that $Q_3 = 571.6$ and $IQR = 139.4$.
$Fence_{high}=Q_3+1.5\times IQR=571.6 + 1.5\times139.4$
$=571.6+209.1$
$=780.7$

Answer:

$Fence_{low}=223.1$
$Fence_{high}=780.7$