Exam 2: Describing Data With Numerical Measures

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A sample of 600 values produced the following summary statistics: A sample of 600 values produced the following summary statistics:   Based on this information, upper fence on a box and whisker plot is: Based on this information, upper fence on a box and whisker plot is:

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The left and right ends of the box in a box and whisker plot represent the 25th and 75th percentiles, respectively.

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If a store manager selected a sample of customers and computed the mean income for this sample, he has computed:

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Twenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the first column is the count per branch, the second column is the stem value, and the remaining digits are the leaves. Twenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the first column is the count per branch, the second column is the stem value, and the remaining digits are the leaves.    a. What is the median score? ______________ b. What is the sample mean for this data set? ______________ c. What is the value of the sample standard deviation? ______________ d. What is the range of this data? ______________ a. What is the median score? ______________ b. What is the sample mean for this data set? ______________ c. What is the value of the sample standard deviation? ______________ d. What is the range of this data? ______________

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If the sample mean is much larger than the sample median, the data set is said to be skewed to the right.

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Consider the following set of measurements: 6, 3, 5, 14, 2, 6, 0, and 8. a. Find the 25th percentile: ______________, Find the 50th percentile: ______________, Find the 75th percentile: ______________. b. What is the value of the interquartile range? ______________

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The mean of forty sales receipts is $69.75 and the standard deviation is $10.25. Using Tchebysheff's Theorem, at least 75% of the sales receipts were between $49.25 and $90.25.

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For larger sample sizes, a rough approximation for the sample standard deviation s is that s \approx R / 4, where R is the range.

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The standard deviation is the positive square root of the variance.

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The distribution of checking account balances for customers at Independent Bank is known to be bell - shaped with a mean of $1,800 and a standard deviation of $300. Given this information, the percentage of accounts with balances between $1,500 and $2,100 will be approximately 95%.

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In a histogram, the proportion of the total area which must be to the left of the median is more than 0.50 if the distribution is skewed to the right.

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The mean is one of the most frequently used measures of variability.

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Which of the following best describes measures of center?

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The distribution of a set of data is considered to be symmetric if the first quartile and the 25th percentile are equal.

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Which of the following summary measures is affected most by outliers?

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The value (n + 1) / 2 indicates the value of the median in an ordered data set, where n is the number of data values.

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Tchebysheff's Theorem provides us with a measure of shape that focuses on the difference between the mode and the mean and then relates it to the standard deviation.

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For any distribution, if the mean is equal to the standard deviation, you can infer that the distribution is symmetric.

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Suppose the hourly dollar amount of food sold by a Burger King franchise follows an approximately mound-shaped distribution with a mean sales level of $400 per hour and a standard deviation of $60 per hour. a. What percentage of the working hours does this Burger King franchise sell between $280 and $520 worth of food per hour? ______________ b. Suppose yesterday, during a one-hour period, this Burger King franchise had sales at the 84th percentile. What dollar sales figure does this represent? ______________

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Numerical descriptive measures computed from population measurements are called parameters.

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