Part I. Data were collected on more than 240,000 speeding tickets issued by the

Question

Part I. Data were collected on more than 240,000 speeding tickets issued by the Minnesota State Highway Patrol overthe last three years. A random sample of 100 of the tickets issued was selected and the age of the speeder for those tickets is shown in Mini Tab output below Stem-and-leaf of age sample N-100 Boxplot of age sample 12 1 666777888899 39 2 000111122222222333334444444 (14) 2 55667788888889 47 3 0000011223344 34 3 5556778888889 21 4 01344 16 4 667999 10 5 24 8 5567 5 6 001 2 6 59 Leaf Unit1 Examine the plots above. Which of the following terms apply in describing the shape of the Age distribution? (Score:2, 1 or 0) A. Unimodal Multimodal Left Skewed Bimodal Symmetrical Right Skewed . Give the name for (but do not calculate) the appropriate statistical summaryfor (a) the centerand (b) the spread of the variable Age (Score:2,1 or 0) a. Center: b. Spread: Briefly explain why thesedata would hold the shape that they do. (Score: 2, 1 or 0) The five-number summary for these data is 16, 22, 28, 38, 69. Use this information to calculate the upper limit outside which a high outlieron Age would fall. (Score:1or 0)

Explanation / Answer

Five number summary is 16, 22, 28, 38, and 69.

Minimum = 16

Q1 = 22

Median = 28

Q3 = 38 and

Maximum = 69

lower limit is Q1 - 1.5*IQR

Where IQR = Q3 Q1 = 38 - 22 = 16

lower limit = 22 - 1.5*16 = -2

Upper limit = Q3 + 1.5*IQR = 38 + 1.5*16 = 62

therefore obwervation 69 is outlier in this data set

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