38.53| 3.92|32.96|47.07 37.28 35 23 63.46 51.06 01 56.21 82.86 47.55 11.20 Media

Question

38.53| 3.92|32.96|47.07 37.28 35 23 63.46 51.06 01 56.21 82.86 47.55 11.20 Median: 44.495 21.44 41.92 38.69 32.24 3: 59.8 94.81 73.48 47.97 65.35 IQR: 25.7 As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterday's records. The amounts of those purchases (in dollars) are shown to the right. Complete parts a) through c). 34.1 a) Draw a boxplot using the quartiles given in the problem statement. Choose the correct plot below OA. B. O c. OD. b) Does the boxplot nominate any outliers? Yes O No c) What amount would be considered a high outlier? Any purchase that is would be considered a high outlier. Round to two decimal places as needed.)

Explanation / Answer

Given Q1 = 34.1

Median = 44.495

Q3 = 59.8

IQR = 25.7

B is correct boxplot since the starting and ending tail of plot should not be equal to 0 and 100 respectively

b) No there are no outliers since Outliers lie 1.5 * IQR below Q1 and 1.5 * IQR above Q3. Since there are no such points there are no outliers

c) Anything greater than 59.8 + (1.5 * 25.7) = 98.35 is an outlier

eg 100, 101

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