Exam 2: Describing Data: Numerical

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A measure of central tendency that is important in business and economics used in compound interest,population growth,and total sales growth over time is the:

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For a sample of size 5,if x1 - For a sample of size 5,if x<sub>1 </sub>-   = -5,x<sub>2</sub> -   = 9,x<sub>3</sub> -   = -7,and x<sub>4</sub> -   = -2,then the sample standard deviation is: = -5,x2 - For a sample of size 5,if x<sub>1 </sub>-   = -5,x<sub>2</sub> -   = 9,x<sub>3</sub> -   = -7,and x<sub>4</sub> -   = -2,then the sample standard deviation is: = 9,x3 - For a sample of size 5,if x<sub>1 </sub>-   = -5,x<sub>2</sub> -   = 9,x<sub>3</sub> -   = -7,and x<sub>4</sub> -   = -2,then the sample standard deviation is: = -7,and x4 - For a sample of size 5,if x<sub>1 </sub>-   = -5,x<sub>2</sub> -   = 9,x<sub>3</sub> -   = -7,and x<sub>4</sub> -   = -2,then the sample standard deviation is: = -2,then the sample standard deviation is:

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The median should always be preferred to the mean when the population or sample is skewed to the right or left.

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Suppose you have a set of data which has a bell-shaped histogram.Compare the interquartile range with the range from one standard deviation below the mean to one standard deviation above the mean.The interquartile range is smaller.

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The mode is the most useful measure of central tendency if the data is ordinal.

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Since the population is always larger than the sample,the population mean:

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A box-and-whisker plot provides information about the shape of the distribution and the spread of the data.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The annual percentage returns on two stocks over a 7-year period were as follows: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The annual percentage returns on two stocks over a 7-year period were as follows:    -Compute an appropriate measure of dispersion for both stocks to measure the risk of these investment opportunities.Which stock is more volatile? -Compute an appropriate measure of dispersion for both stocks to measure the risk of these investment opportunities.Which stock is more volatile?

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What conclusions can you draw about the relationship between the size of the sales force and gross sales?

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The management at a small manufacturing plant has noticed that the price of steel has increased significantly over the past several years.Looking over their records,they find that over the four-year period,prices have increased by 40%.They expect this same trend in prices for next year.In budgeting for next year,by how much should they expect prices to increase?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a time study,conducted at a manufacturing plant,the length of time to complete a specified operation is measured for each on n = 40 workers.The mean and standard deviation are found to be 15.2 and 1.40,respectively. -Describe the sample data using Chebyshev's Theorem.

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Compute the mean,standard deviation and interquartile range for the following sample data: 12.2,15.9,8.1,19.2,13.7,7.2,12.2,10.9,5.4,and 16.8.

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For any distribution,the empirical rule estimates that approximately 95% of the observations will fall with two standard deviations of the mean.

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The measures used to describe sales data,survey data,or weights of newborn babies are called:

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Which measures of central location are not affected by extremely small or extremely large data values?

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A sample of eight retired persons receiving social security payments revealed the following monthly benefits: $985,$798,$1,210,$1,356,$1,087,$869,$987,and $1,045.How many observations are below the median?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of students eating breakfast at the school dining commons was recorded over 110 days last semester.These data are presented below. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of students eating breakfast at the school dining commons was recorded over 110 days last semester.These data are presented below.    -What is the estimated standard deviation for this data? -What is the estimated standard deviation for this data?

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For any symmetrical distribution,the standard deviation is equal to the variance.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Some people would argue that the trend of consumers toward purchasing large sport utility vehicles (SUVs)has been detrimental to the environment.The following data show the vehicle weight X,measured in tons,and the corresponding fuel efficiency Y,measured by the average miles per gallon (mpg),in the form of (x,y)pairs for 10 vehicles: (1.9,26.5),(2,23.2),(2.4,22.1),(1.8,26),(2.4,22.9),(2.1,21.5),(1.8,25.3),(2.5,19.3),(1.8,27.4),and (1.6,27.6). -Prepare a scatter plot of this data.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of students eating breakfast at the school dining commons was recorded over 110 days last semester.These data are presented below. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The number of students eating breakfast at the school dining commons was recorded over 110 days last semester.These data are presented below.    -What is the estimated mean number of students showing up for breakfast? -What is the estimated mean number of students showing up for breakfast?

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