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? (round to three decimal places as needed.) the upper fence is 9.300. (round to three decimal places as needed.) are there any outliers in the given data set? a. yes, there are values below the lower fence. b. yes, there are values above the upper fence and below the lower fence. c. yes, there are values above the upper fence. d. no, all the values are between the lower and upper fences. what are the outliers? select the correct choice below and fill in any answer boxes in your choice. a. the outlier(s) is/are. (use a comma to separate answers as needed.) b. there are no outliers.

Explanation:

Step1: Calculate the lower fence formula

The formula for the lower fence is $Q_1 - 1.5\times(IQR)$, where the inter - quartile range $IQR=Q_3 - Q_1$. First, find $IQR$: $IQR = Q_3 - Q_1=5.160 - 2.400 = 2.760$. Then the lower fence is $Q_1-1.5\times IQR=2.400-1.5\times2.760=2.400 - 4.140=-1.740$.

Step2: Analyze the data

We are given the upper fence is 9.300. Looking at the data values: 0.66, 1.13, 1.62, 1.91, 2.18, 2.62, 2.87, 3.30, 3.69, 3.87, 4.02, 4.17, 4.53, 4.64, 4.96, 5.30, 5.52, 5.69, 5.93, 6.13. All these values are greater than - 1.740 and less than 9.300.

Answer:

D. No, all the values are between the lower and upper fences.
B. There are no outliers.