Exam 2: Methods for Describing Sets of Data

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Scatterplots are useful for both qualitative and quantitative data.

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Box plots are used to detect outliers in qualitative data sets, while z-scores are used to detect outliers in quantitative data sets.

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The speeds of the fastballs thrown by major league baseball pitchers were measured by radar gun. The mean speed was 86 miles per hour. The standard deviation of the speeds was 5 mph. Which of the following speeds would be classified as an outlier?

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  For the distribution drawn here, identify the mean, median, and mode. For the distribution drawn here, identify the mean, median, and mode.

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A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $100 and a standard deviation of $14. Three solar homes reported monthly utility bills of $51, $48, and $56. Which of the following statements is true?

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If a z-score is 0 or near 0, the measurement is located at or near the mean.

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By law, a box of cereal labeled as containing 24 ounces must contain at least 24 ounces of cereal. The machine filling the boxes produces a distribution of fill weights that is mound-shaped and symmetric, with a mean equal to the setting on the machine and with a standard deviation equal to 0.02 ounce. To ensure that most of the boxes contain at least 24 ounces, the machine is set so that the mean fill per box is 24.06 ounces. What percentage of the boxes do, in fact, contain at least 24 ounces?

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Which of the graphical techniques below can be used to summarize qualitative data?

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Which of the following statements concerning the box plot and z-score methods for detecting outliers is false?

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The box plot shown below displays the amount of soda that was poured by a filling machine into 12-ounce soda cans at a local bottling company. The box plot shown below displays the amount of soda that was poured by a filling machine into 12-ounce soda cans at a local bottling company.    Based on the box plot, what shape do you believe the distribution of the data to have? Based on the box plot, what shape do you believe the distribution of the data to have?

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Which measures variability about the mean, the range or the standard deviation?

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In an eye color study, 25 out of 50 people in the sample had brown eyes. In this situation, what does the number .50 represent?

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Calculate the standard deviation of a sample for which n=6,x2=830,x=60n = 6 , \sum x ^ { 2 } = 830 , \sum x = 60

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On a given day, the price of a gallon of milk had a mean price of $2.16 with a standard deviation of $0.07. A particular food store sold milk for $2.09/gallon. Interpret the z-score for this gas station.

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A survey was conducted to determine how people feel about the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below. Stem 3 1 6 4 0 3 4 7 8 9 9 9 5 0 1 1 2 3 4 5 6 1 2 5 6 6 7 1 4 8 9 5 What percentage of the respondents rated overall television quality as very good (regarded as ratings of 80 and above)?

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What is a time series plot?

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What number is missing from the table? Grades on Test Frequency Relative Frequency A 6 .24 B 7 C 9 .36 D 2 .08 F 1 .04

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One of the questions posed to a sample of 286 incoming freshmen at a large public university was, "Do you have any tattoos?" Their responses are shown below in the pie chart. Please note that the values shown represent the number of responses in each category. One of the questions posed to a sample of 286 incoming freshmen at a large public university was, Do you have any tattoos? Their responses are shown below in the pie chart. Please note that the values shown represent the number of responses in each category.   Based on the responses shown in the pie chart, what percentage of the freshmen responded with Yes? Based on the responses shown in the pie chart, what percentage of the freshmen responded with "Yes?"

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The amount spent on textbooks for the fall term was recorded for a sample of five hundred university students. The mean expenditure was calculated to be $500 and the median expenditure was calculated to be $425. Which of the following interpretations of the mean is correct?

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Explain how stretching the vertical axis of a histogram can be misleading.

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