Exam 3: Describing Data: Numerical Measures

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The weights (in kilograms) of a group of crates being shipped to Panama are 95, 103, 110, 104, 105, 112 and 92. What is the mean deviation?

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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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What is the relationship between the variance and the standard deviation?

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(i. The range for laminate flooring is 0 or none. (ii. The mean deviation for laminate flooring is 0. (iii) The range for nylon carpet is $0.12 or 12 cents.

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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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Based on the graph below, how can we best describe the shape of this distribution? Based on the graph below, how can we best describe the shape of this distribution?

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The means differ vastly. The annual incomes of the five vice presidents of Elly's Industries are: $41,000, $38,000, $32,000, $33,000 and $50,000. The annual incomes of Unique, another firm Similar to Elly's Industries, were also studied and found to have a mean of $38,900 and a standard Deviation of $6,612. Determine the coefficient of variation for each firm.

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What disadvantage(s) are there of the mean deviation?

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(i. If two sets of data are in different units, we can compare the dispersion by using coefficient of Variation. (ii. A sample of the homes currently offered for sale revealed that the mean asking price is $75,900, The median $70,100 and the modal price is $67,200. The standard deviation of the distribution is $5,900. The Pearson's coefficient of skewness is 3.95 (iii) The coefficient of variation is a measure of relative dispersion.

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The coefficient of variation generally lies between what two values?

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What do the quartile deviation and the interquartile range describe?

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(i. The research director of a large oil company conducted a study of the buying habits of Consumers with respect to the amount of gasoline purchased at full-service pumps. The arithmetic Mean amount is 11.5 gallons and the median amount is 11.95 litres. The standard deviation of the Sample is 4.5 litres. The Pearson's coefficient of skewness can be calculated to be -0.30. (ii. The Pearson's coefficient of skewness (Sk) measures the amount of skewness and may range From -3.0 to +3.0. It is computed by subtracting the median from the mean, multiplying the result by 3 and dividing by standard deviation. (iii) A study has been made of the number of hours a light bulb will operate before it burns out. If the Variance of this distribution were computed, it would be measured in hours squared

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A disadvantage of using an arithmetic mean to summarize a set of data is

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(i. Based on the values of the arithmetic mean, median, and mode, the distribution is most likely Symmetrical. (ii. The arithmetic mean is 24.0. (iii) The median is 21.

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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 range of average earnings for women for the years 1999-2008 Was approximately: From this we can interpret that the range of average earnings for women for the years 1999-2008 Was approximately:

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The Federal Aviation Administration reported that passenger revenues on international flights Increased from $528 million in 1977 to $5,100 million in 2000. What is the geometric mean annual Percent increase in international passenger revenues?

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Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.)   What were the modal earnings for men for the years 1999-2008? What were the modal earnings for men for the years 1999-2008?

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The information below shows the summary statistics of data adapted from Statistics Canada, Regarding gasoline prices from urban cities across Canada. The information below shows the summary statistics of data adapted from Statistics Canada, Regarding gasoline prices from urban cities across Canada.   (i. This data is based on values from 17 cities. (ii. The average gas price in 2013 across the country based on this sample was $1.2356 (iii) 50% of the cities reported average gas prices over $1.23 per litre (i. This data is based on values from 17 cities. (ii. The average gas price in 2013 across the country based on this sample was $1.2356 (iii) 50% of the cities reported average gas prices over $1.23 per litre

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i. The sum of the deviations from the mean for the set of numbers 4, 9 and 5 will equal zero. ii. If there is an even number of ungrouped values, the median is found by arranging them from low To high and then determining the arithmetic mean of the two middle values. iii. For salaries of $102,000, $98,000, $35,000, $106,000 and $101,000, the arithmetic mean would Be an appropriate average.

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A sample of the daily number of passengers per bus riding the Bee Line commuter route yielded The following information: A sample of the daily number of passengers per bus riding the Bee Line commuter route yielded The following information:   What is the standard deviation? What is the standard deviation?

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