Exam 2: Methods for Describing Sets of Data

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All class intervals in a histogram have the same width.

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The mean xˉ\bar { x } of a data set is 36.71, and the sample standard deviation s is 3.22. Find the interval representing measurements within one standard deviation of the mean.

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Which of the following is a measure of relative standing?

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The bars in a histogram should be arranged by height in descending order from left to right.

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The process for finding a percentile is similar to the process for finding the median.

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A shoe company reports the mode for the shoe sizes of menʹs shoes is 12. Interpret this result.

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  The pie chart shows the classifications of students in a statistics class. What percentage of the class consists of freshman, sophomores, and juniors? The pie chart shows the classifications of students in a statistics class. What percentage of the class consists of freshman, sophomores, and juniors?

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An outlier in a data set may have a simple explanation such as a scale was not working properly or the researcher inverted the digits of a number when recording a measurement.

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Chebyshevʹs rule applies to qualitative data sets, while the empirical rule applies to quantitative data sets.

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

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A sample of 100 e-mail users were asked whether their primary e-mail account was a free account, an institutional (school or work)account, or an account that they pay for personally. Identify the classes for the resulting data.

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A study was designed to investigate the effects of two variables - (1)a studentʹs level of mathematical anxiety and (2)teaching method - on a studentʹs achievement in a mathematics Course. Students who had a low level of mathematical anxiety were taught using the traditional Expository method. These students obtained a mean score of 480 with a standard deviation of 30 On a standardized test. Assuming a mound-shaped and symmetric distribution, in what range Would approximately 68% of the students score?

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Chebyshevʹs rule applies to large data sets, while the empirical rule applies to small data sets.

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Suppose that 50 and 75 are two elements of a population data set and their z-scores are -3 and 2, respectively. Find the mean and standard deviation.

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Explain how it can be misleading to draw the bars in a histogram so that the width of each bar is proportional to its height rather than have all bars the same width.

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In practice, the population mean μ\mu is used to estimate the sample mean xˉ\bar { x }

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An outlier is defined as any observation that falls within the outer fences of a box plot.

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The total points scored by a basketball team for each game during its last season have been summarized in the table below. Which statement following the table must be true? Score Frequency 41-60 3 61-80 8 81-100 12 101-120 7

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For a given data set, which is typically greater, the range or the standard deviation?

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Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees To program, and you have been requested to review the performance of one of the trainees on the Final test that was given to all trainees. The mean and standard deviation of the test scores are 70 And 3, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose the Trainee in question received a score of 60. Compute the traineeʹs z-score.

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