MATH533 � Final Exam Worksheet

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1MATH533–Final Exam Worksheet1.Given the followingsample of 10high temperaturesfrom March:55, 60, 57, 43, 59, 66, 72, 65,59, 47.a.Determine the mean.111Mean,556057435966726559471015831058.3niixxnb.Determine the median.Arrange the data in ascending order of magnitude,43, 47, 55, 57, 59, 59, 60, 65, 66, 72MedianMean of the two middle valuesSince10 is even1 5959259nc.Determine the mode.Mode is the most repeated value inthe given series of observations. Here, the value 59 isrepeated twice and it is the most repeated value. So the mode is 59.d.Describe the shape of the distribution.Since mean is close to median and mode, the shape of the distribution is approximatelysymmetric.e.Determine Q1, Q2, Q3 and IQR.

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21Arrange the data in ascending order of magnitude,43, 47, 55, 57, 59, 59, 60, 65, 66, 72Mean of the two middle values in the lower half14755251Q2331, MedianMean of the two middle valuesSince10 is even1 5959259Mean of the two middle values in the upper half16566265.5IQR65.55114.5QnQQQ2.The contingency table shows classification of students in a Statistics class.From NJFrom PAGPA at least 3.015520GPA below 3.04535806040100a.If a student is selected atrandom, what is the probability that he/she is from NJ?600.6100b.If a student is selected at random, what is the probability that he/she has a GPA below 3.0?800.8100c.If we know that the student is from PA, what is the probability that he/she has a GPA of atleast 3.0?

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350.12540d.If a student is selected at random, what is the probability that he/she is from NJ and has aGPA below 3.0.450.45100e.If a student is selected at random, what is theprobability that he/she from PAand has GPAof at least 3.0.50.051003.Yourfriend is applying for 4 jobs. The hourly pay rate for the 4 jobs are, $8, $12, $15, $20. Theprobability distribution below shows the probability of getting each of these jobs:Job Pay Rate,XProbability, P(X)8.3012.2015.4020.10a.What is the probability that your friend will get a job paying at least $15/hour?151520.40.10.50P XP XP Xb.What is the expected pay rate for your friend?The expected pay rate,8.3012.2015.4020.1012.8EXxP x

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