Exam 3: Numerically Summarizing Data

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Compute the Range of a Variable from Raw Data - 6,7,8,9,106,7,8,9,10

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Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. -The percentage of measurements that are below the 88th percentile is

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Draw and Interpret Boxplots -A survey of 200 public universities indicated that the 25th percentile of the yearly tuition cost of the universities was $4500 and the 75th percentile was $7800. The minimum value was $2000, the median was $6000, and the maximum was $10,000. Use this information to construct a boxplot for the yearly tuition costs.

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Compute the Range of a Variable from Raw Data - 53,136,24,118,16553,136,24,118,165

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Determine the Mode of a Variable from Raw Data -The ________ of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum by the number of observations in the data set.

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Provide an appropriate response. -Variance is the square root of standard deviation.

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Compute the Standard Deviation of a Variable from Raw Data -The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standard deviation of the speeds. 145,135,195,180,105145,135,195,180,105

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Determine the Mode of a Variable from Raw Data -The number of goals scored by a random sample of 16 hockey players for a given season are 5,3,21,10,7,2,05,3,21,10,7,2,0 , 30,19,6,4,7,10,5,730,19,6,4,7,10,5,7 , and 24. Compute the mean, median, and mode.

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Use the Empirical Rule to Describe Data That Are Bell Shaped -At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 103 miles per hour (mph) and the standard deviation of the serve speeds was 9 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player s serves are expected to be between 112 mph and 130 mph

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If X1,X2,X3,,XNX _ { 1 } , X _ { 2 } , X _ { 3 } , \ldots , X _ { N } are the NN observations of a variable from a population, then the population mean is symbolized by

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Approximate the Variance and Standard Deviation of a Variable from Grouped Data -For the following data set, approximate the sample standard deviation of monthly telephone bills (in dollars).  Bill (in $)  Frequency 505225355556581259611962647\begin{array}{c|c}\text { Bill (in \$) } & \text { Frequency } \\\hline 50-52 & 2 \\53-55 & 5 \\56-58 & 12 \\59-61 & 19 \\62-64 & 7\end{array}

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Determine the Mode of a Variable from Raw Data -In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4,3,1,0,4,2,3,0,1,2,3,0,4,1,1,5,1,14,3,1,0,4,2,3,0,1,2,3,0,4,1,1,5,1,1 . Compute the mean, median, and mode.

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Determine and Interpret z-Scores -A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought s effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): 60 57 62 69 46 54 64 60 59 58 75 51 49 60 57 62 69 46 54 64 60 59 58 75 51 67 65 44 58 55 48 62 63 73 52 55 50 67 65 44 58 55 48 62 63 73 52 55 50 The tree farmer feels the normal height of a tree that was unaffected by the drought would be 65 inches. Find the z-score for a tree that is 65 inches tall.

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Provide an appropriate response. -For the following data, approximate the mean number of emails received per day. Provide an appropriate response. -For the following data, approximate the mean number of emails received per day.

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Compute the Range of a Variable from Raw Data - 24,39,20,43,5924,39,20,43,59

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Determine the Median of a Variable from Raw Data -The median of a data set for a variable is the data value that

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Determine the Mode of a Variable from Raw Data -Which measure of central tendency is not resistant to extreme values in a numeric data set

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Compute the Range of a Variable from Raw Data - 6,6,5,2,4,12,9,9,86,6,5,2,4,12,9,9,8

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