Exam 2: Describing Data: Numerical

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The correlation coefficient measures the strength of a linear relationship between two variables.

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Calculate the correlation coefficient between the size of the sales force and gross sales.

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Which of the following statements is true?

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In a positively skewed distribution,the mode is greater than the median.

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For any distribution,there are an equal number of observations above and below the mean.

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The first four deviations from the mean in a sample of n = 5 reaction times were .6,.9,1.0,and 1.5.What is the fifth deviation from the mean? Provide a sample for which these are the five deviations from the mean.

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Categorical data are best described by the mode.

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The variance of a set of data can never be negative.

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For the following scatter plot,what would be your best estimate of the correlation coefficient? For the following scatter plot,what would be your best estimate of the correlation coefficient?

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For a data set with 10 numerical values arranged in ascending order,the median is the arithmetic mean of the:

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Suppose you are told that sales this year are 30% higher than they were six years ago.What has been the average annual increase in sales over the past six years?

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Looking at the scatter plot below,what value would be your best estimate for the correlation coefficient? Looking at the scatter plot below,what value would be your best estimate for the correlation coefficient?

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The mean is generally the preferred measure of central tendency to describe numerical data,but not categorical data.

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The following ten scores were obtained on a 20-point quiz: 4,5,8,9,11,13,15,18,18,and 20.The teacher computed the usual descriptive measures of center (central tendency)and variability (dispersion)for these data,and then discovered an error was made.One of the 18s should have been a 16.Which of the following measures,calculated on the corrected data,would change from the original computation?

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In the calculation of the arithmetic mean for grouped data,which value is used to represent all the values in a particular class?

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The first quartile,Q1,is a number such that at most 25 of the data values are smaller in value than Q1,and at most 75 of the data values are larger.

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For any distribution,the number of values above the mean and below it is the same.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A small accounting office is trying to determine its staffing needs for the coming tax season.The manager has collected the following data: 46,27,79,57,99,75,48,89,and 85.These values represent the number of returns the office completed each year over the entire nine years it has been doing tax returns. -For this data,what is the coefficient of variation for the number of tax returns completed each year?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A set of data is mounded,with a mean of 500 and a variance of 576. -Approximately what proportion of the observations is between 428 and 572?

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For which type of distribution is the mean usually less than the median when measuring continuous numerical unimodal data?

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