Exam 4: Numerical Descriptive Techniques

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If the standard deviations of x and y are 12.5 and 10.8,respectively,and the covariance is 118.8,then the coefficient of correlation r is 0.88.

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The value of the mean times the number of observations equals the sum of the observations.

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If the first and second quartiles are closer to each other than are the second and third quartiles,then the shape of the histogram based on the quartiles is ____________________.

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Suppose that a firm's sales were $3,750,000 five years ago and are $5,250,000 today.What was the geometric mean growth rate in sales over the past five years?

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A basketball player has the following points for seven games: 20,25,32,18,19,22,and 30.Compute the following measures of central location: a.mean b.median c.mode

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In symmetric data,the value for Q2 is always halfway between Q1 and Q3.

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The units for the standard deviation are the same as the units for the original data (for example,feet,inches,etc.).

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Weights of Police Officers ​ The following data represent the weights in pounds of a sample of 25 police officers: 164,148,137, 157,173,156,177,172,169,165,145,168,163,162,174,152,156,168,154,151,174,146,134, 140,and 171. ​ ​ -{Weights of Police Officers Narrative} Construct a relative frequency histogram for the data,using five class intervals and the value 130 as the lower limit of the first class.

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The standard deviation is the positive square root of the variance.

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The shape of a distribution helps answer which question about the data?

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The median of a set of data is more representative than the mean when the mean is larger than most of the observations.

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Which of the following statements about the mean is not always correct?

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The following data represent the number of children in a sample of 10 families from a certain community: 4,2,1,1,5,3,0,1,0,and 2. a.Compute the range. b.Compute the variance. c.Compute the standard deviation. d.Compute the coefficient of variation. e.Explain why in this case range > variance > standard deviation > coefficient of variation.

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The difference between the largest and smallest observations in an ordered data set is called the range.

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A mutual fund you purchased in the years 2011-2014 has the following rates of return shown below: A mutual fund you purchased in the years 2011-2014 has the following rates of return shown below:   Compute the geometric mean. Compute the geometric mean.

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In a negatively skewed distribution,the mean is smaller than the median and the median is smaller than the mode.

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The mean is a measure of variability.

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The ____________________ is not as sensitive to extreme values as the ____________________.

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If the first and second quartiles are farther apart than the second and third quartiles,then the shape of the histogram based on the quartiles is ____________________.

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If the distribution of a data set were perfectly symmetric,the distance from Q1 to the median would always equal the distance from Q3 to the median in a box plot.

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