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 (round to three decimal places as needed.) 0.66 2.62 4.02 5.36 1.13 2.87 4.17 5.52 1.62 3.36 4.53 5.69 1.91 3.69 4.64 5.93 2.18 3.87 4.96 6.13

Explanation:

Step1: Recall the formula for lower fence

The formula for the lower fence is $Q_1 - 1.5\times(IQR)$, where the inter - quartile range $IQR=Q_3 - Q_1$.

Step2: Calculate the inter - quartile range

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

Step3: Calculate the lower fence

Lower fence $=Q_1-1.5\times IQR=2.400-1.5\times2.760$.
$=2.400 - 4.140=- 1.740$.

Answer:

$-1.740$