for the data shown above, find the following. do not round any of your answers. a) find the 5 - number…

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?

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?

Answer

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:

$394.625$