Question

suppose the data represent the inches of rainfall in april for a certain city over the course of 20 years. given the quartiles q1 = 2.400, q2 = 3.945, and q3 = 5.160, determine the lower and upper fences. are there any outliers, according to this criterion? the lower fence is - 1.740 (round to three decimal places as needed.) the upper fence is (round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for lower and upper fences

The formula for the lower fence is $Q_1 - 1.5\times(IQR)$ and the upper fence is $Q_3+ 1.5\times(IQR)$, where $IQR = Q_3 - Q_1$.

Step2: Calculate the Inter - Quartile Range (IQR)

$IQR=Q_3 - Q_1=5.160 - 2.400 = 2.760$.

Step3: Calculate the upper fence

$Upper\ fence=Q_3+1.5\times IQR=5.160+1.5\times2.760=5.160 + 4.140=9.300$.

Answer:

The upper fence is $9.300$