The bar graph below shows the distribution of breeds for all the champions of the annual World Canine Disc ChampiMixed breed dogs have won the championship about twice as often as Australian Shepherdsonships from 1975 to 2009.
Question 1
1.
The histogram below shows the distribution of heights for 100 randomly selected school children in Great Britain.
Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
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Question 8
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Part 2: Free Response Questions
Refer to the following setting to answer the questions.
Nitrates are organic compounds that are a substantial component of agricultural fertilizers. When those fertilizers run off into streams, the nitrates can have a toxic effect on animals that live in those streams. An ecologist studying nitrate pollution in two streams collects data on nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. His results are given in the dotplots and computer output below.
Question 9
9.
Refer to the Nitrate Concentration scenario.
Determine if there are any outliers in each distribution. Show your work.
Question 10
10.
Draw parallel boxplots of these two distributions. Be sure to use the appropriate tools, such as the shapes, label the plots and provide a scale. Use red for Stony Brook and blue for Mill Brooke.
Question 11
11.
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Write a few sentences comparing the two streams distributions . Remember to use the SOCS, include context and use comparative language.
Which of the following statement can be made on the basis of this graph?
None of the champion dogs were Labrador Retrievers.
Mixed breed dogs have won the championship about twice as often as Australian Shepherds.
Border Collies are larger dogs than Australian Shepherds.
The graph exaggerates the difference between the number of champions of each breed category.
Most of the mixed breed dogs were at least half Border Collie.
Which of the following descriptions best fits this distribution?
Roughly uniform, centered at about 150, range 110 to 190.
Roughly symmetric, centered at about 150, range 110 to 190.
Roughly symmetric, centered at about 150, range 80
Roughly uniform, centered at about 150, range 80
Roughly symmetric, centered at about 150, range about 135 to 165.
The population of the United States is aging, though less rapidly than in other developed countries. Above is a stemplot of the percents of residents aged 65 and older in each of the 50 states, according to the 2000 census. There are two outliers: Alaska has the lowest percent of older residents, and Florida has the highest. What is the percent for Florida?
57%
13.8%
5.7%
176%
17.6%
The Interquartile range for the distribution of 50 states in the previous question is:
18%
11.7% to 13.5%
2.7%
1.8%
117% to 135%
Which of the following statements is NOT true?
The median is always greater than the mean.
In a symmetric distribution, the median is halfway between the first and third quartiles.
In a symmetric distribution, the mean and the median are equal.
Fifty percent of the scores in a distribution are between the first and third quartiles.
The range is the difference between the largest and the smallest observation in the data set.
If a distribution is skewed to the left, which of the following is true?
It’s impossible to tell which of the above statements is true without seeing the data.
The mean must be less than the median.
The mean and median must be equal.
The mean is either equal to or less than the median,
The mean must be greater than the median.
The mean birth weight of infants born at a certain hospital in the month of April was 128 oz. with a standard deviation of 10.2 oz. Which of the following is a correct interpretation of standard deviation?
About half the infants born in April weighed between 117.8 oz. and 138.2 oz
The mean weight of infants born in subsequent months is likely to be within 10.2 oz. of the mean weight in April.
All the infants born in April weighed between 117.8 oz. and 138.2 oz.
The difference between the mean weight and the median weight of infants born in April was 10.2 oz.
The distance between the weight of each infant bon in April and the mean weight was, on average, about 10.2 oz.
The five-number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students took the test. About how many had scores between 35 and 61?
