STAT 1124 Mid Term 1 Model Answers

STAT 1124 Mid Term 1 Model Answers - Page 1 STAT 1124...

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Page 1 STAT 1124 Section 2 Mid Term 1 February 12, 2009 Model Answers You have 55 minutes to complete the test. Justify your answers in order to receive full credit The total number of points is 28 1. Daily rainfall (in millimeters) was recorded over a 30-year period in a coastal town in British Columbia. For each year, the day that had the greatest amount of rainfall was identified. Therefore, in total, there are 30 data points, one for each year. The following is a summary of this data set: Sample Size 30 Mean 126.6 Standard Deviation 57.5 Minimum 47.5 Maximum 271.8 Median 116.3 Q1 84.6 Q3 154.4 a) Describe the distribution of the data set. Justify your answer ( 2 points ) The distribution of the data set is skewed to the right. Please refer to the box plot below. Also, the mean is greater than the median. b) Use a graphical tool to support your description in a) ( 2 points ) 84.6 17.2 154.4 271.8 47.5
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Page 2 c) Are there any outliers? ( 2 points ) IQR = 154.4 – 84.6 = 69.8 1.5 * IQR = 1.5 x 69.8 = 104.7 Q1 - 1.5 * IQR = 84.6-104.7 = -20.1 47.5 is not an outlier since 47.5 > -20.1 Q3 + 1.5 * IQR = 154.4 + 104.7 = 259.1 271.8 is an outlier since 271.8 > 259.1 2. In a study on fitness program for 45-54 year-old males, measures of weight and height were taken from 24 program participants so as to establish a standard for weight given the height. This data is summarized in the scatterplot below. 60.0 70.0 80.0 90.0 100.0 110.0 120.0 140.0 150.0 160.0 170.0 180.0 190.0 200.0 W e i g h t i n k g Height in cm Height versus Weight a) Are there a response variable and an explanatory variable for this data set? If
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This note was uploaded on 07/14/2010 for the course STATS 1124 taught by Professor Michael during the Summer '09 term at Langara.

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STAT 1124 Mid Term 1 Model Answers - Page 1 STAT 1124...

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