Exam 3: Describing Data: Numerical Measures

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What is the median of 26, 30, 24, 32, 32, 31, 27 and 29?

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A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical Rule, about 95 percent of the monthly food expenditures are between what two amounts?

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Listed below is the box plot of average earnings ratio for full-year, full-time male workers from 1999 to 2008: Listed below is the box plot of average earnings ratio for full-year, full-time male workers from 1999 to 2008:   From this we can interpret that the first quartile of average earnings for men for the years 1999-2008 was approximately: From this we can interpret that the first quartile of average earnings for men for the years 1999-2008 was approximately:

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A population consists of all the weights of all defensive tackles on Sociable University's football team. They are: Johnson, 204 pounds; Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation (in pounds)?

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The net sales of a sample of small stamping plants were organized into the following percent frequency distribution. The net sales of a sample of small stamping plants were organized into the following percent frequency distribution.   What is the mean net sales (in $millions)? What is the mean net sales (in $millions)?

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What must be the least scale of measurement for the median?

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If a frequency distribution has open-ended intervals at the extremes, which measure of central tendency is the most difficult to estimate?

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The coefficient of variation is a measure of ___________.

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The______ is the measure of central tendency that uses all of the observations in its calculation.

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Listed below is the box plot of average earnings ratio for full-year, full-time female workers from 1999 to 2008: Listed below is the box plot of average earnings ratio for full-year, full-time female workers from 1999 to 2008:   From this we can interpret that the third quartile of average earnings for women for the years 1999- 2008 was approximately: From this we can interpret that the third quartile of average earnings for women for the years 1999- 2008 was approximately:

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The standard deviation the positive square root of the_______ .

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What do the quartile deviation and the interquartile range describe?

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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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What statistics are needed to draw a box plot?

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i. If there is an even number of ungrouped values, then half of the values will be less than the median. ii. Extremely high or low scores do not affect the value of the median. iii. There are always as many values above the mean as below it.

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Rainbow Trout, Inc., feeds fingerling trout in special ponds and markets them when they attain a certain weight. A group of 9 trout (considered the population) were isolated in a pond and fed a special food mixture called Grow Em Fast. At the end of the experimental period, the weights of the trout were (in grams): 124, 125, 123, 120, 124, 127, 125, 126 and 121. Another special mixture, Fatso 1B, was used in another pond. The mean of the population was computed to be 126.9 grams and the standard deviation was 1.20 grams. The food resulting in a more uniform weight is_______.

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The weights of a sample of 100 boxes being shipped by Air France from Toronto to Paris are: The weights of a sample of 100 boxes being shipped by Air France from Toronto to Paris are:    -Correct to two decimal places, the sample variance is approximately ______. -Correct to two decimal places, the sample variance is approximately ______.

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Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 68% of the home sizes are between what two approximate values? Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 68% of the home sizes are between what two approximate values?

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Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000's, determine the median of the selling prices at that time. Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000's, determine the median of the selling prices at that time.

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i. Chebyshev's theorem states that about 68% of the observation will lie within one standard deviation of the mean; Ii) About 95% of the observations will lie within two standard deviations of the mean; Iii) Virtually all (99.7%) will lie within three standard deviations of the mean.

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