Exam 3: Descriptive Statistics: Numerical Methods

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It is appropriate to use the Empirical Rule to describe a population that is extremely skewed.

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The ______________ is a quantity that measures the variation of a population or sample relative to its mean.

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the mean?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes)(mean = 114.15): 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the standard deviation?

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As the coefficient of variation _______________ risk ______________.

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the median?

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In a study of the factors that affect success in economics,data were collected for 8 business students.Scores on a calculus placement test are given with economics final exam scores.The data are below: Calculus Placement Score Exam Final Score 17 73 21 66 11 64 16 61 15 70 11 71 24 90 27 68 It can be shown that for these data: Xˉ=17.75,yˉ=70.38,i=18(xixˉ)2=237.50\bar{X}=17.75, \quad \bar{y}=70.38, \quad \sum_{i=1}^{8}\left(x_{i}-\bar{x}\right)^{2}=237.50 i=18(yiyˉ)2=545.875,i=18(xixˉ)(yiyˉ)=140.75\sum_{i=1}^{8}\left(y_{i}-\bar{y}\right)^{2}=545.875, \quad \sum_{i=1}^{8}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)=140.75 Calculate the sample covariance.

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months.She took a random sample of the price of 10 computers,with the following results. $3,250,$1,127,$2,995,$3,250,$3,445,$3,449,$1,482,$6,120,$3,009,$4,000 What is the IQR?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes)(mean = 114.15): 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the range?

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According to a survey of the top 10 employers in a major city in the Midwest,a worker spends an average of 413 minutes a day on the job.Suppose the standard deviation is 26.8 minutes,and the time spent is approximately a normal distribution. What are the times within which approximately 68.26 percent of all workers will fall?

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The median is said to be resistant to extreme values.

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In a statistics class,10 scores were randomly selected with the following results (mean = 71.5): 74,73,77,77,71,68,65,77,67,66 What is the variance?

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The weights that are used in calculating a weighted mean will vary depending on the situation.

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If a population distribution is skewed to the right,then,given a random sample from that population,one would expect that the ____________.

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In a statistics class,10 scores were randomly selected,with the following results: 74,73,77,77,71,68,65,77,67,66 What is the 10th percentile?

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The population mean is the point estimate of the sample mean.

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The average of the squared deviations of the individual population measurement from the population mean is the ___________.

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A measure of the strength of the linear relationship between x and y that is dependent on the units in which x and y are measured.

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Researchers wish to study fuel consumption rates based on speed.The data from 10 cars are below: Speed Miles/Gallon 15 14 23 17 30 20 35 24 42 26 45 23 50 18 54 15 60 11 65 10 It can be shown that for these data: Xˉ=41.9,yˉ=17.8,i=110(xixˉ)2=2352.9\bar{X}=41.9, \quad \bar{y}=17.8, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)^{2}=2352.9 i=110(yiyˉ)2=267.6,i=110(xixˉ)(yiyˉ)=270.2\sum_{i=1}^{10}\left(y_{i}-\bar{y}\right)^{2}=267.6, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)=-270.2 Calculate the sample covariance.

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All of the following are measures of central tendency except the ____________.

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