Question

for the data shown above, find the following. do not round any of your answers. a) find the 5 - number summary: {48, 67.5, 128.5, 198.5, 322} b) compute the iqr. 130.75 c) what is the lower fence for this data set? 128.625 what is the upper fence for this data set?

Explanation:

Step1: Recall the formula for upper - fence

The formula for the upper fence is $Q_3 + 1.5\times IQR$, where $Q_3$ is the third - quartile and $IQR$ is the inter - quartile range.
We know from part a) that $Q_3=198.5$ and from part b) that $IQR = 130.75$.

Step2: Calculate the upper fence

Substitute the values into the formula:
$198.5+1.5\times130.75=198.5 + 196.125=394.625$

Answer:

$394.625$