Exam 3: Statistical Description of Data

The range is a measure of dispersion that includes all the values in the data set in the calculation.

The first leadoff hitter,the first second baseman,and the smallest player to hit a home run over the 94 foot tall,double decked roof at Tiger Stadium is Detroit's Lou Whitaker.He stands 5' 11" and weighs 160 pounds.Others who have accomplished this same feat are: Use Chebyshev's Theorem to estimate how likely one so small (measured in weight)could do it by finding the $\bold{\text{proportion of the data}}$ that lies outside the number of standard deviations the weight 160 is from the mean weight of all the players who have accomplished the feat.

Which of the following is not a measure of variability?

Intervals Let x be the class mark for each of the intervals below. Interval Frequency 0-2 2 3-5 6 6-8 10 9-11 5 12-14 2 -Find the sample mean for these grouped data.

Sample values of 13 monthly sales figures (in thousands of dollars)are: 6,5,6,6,7,8,9,10,10,10,9,9,and 6. What is the median sales figure? ____________________ thousand

Using the grouped data set below,find the sample mean,variance,and sample standard deviation: Part Price Number Purchased \ 0.50 100 0.80 200 0.95 50 1.25 20 0.39 500 $\bar { x }$ = ____________________. s² = ____________________. s = ____________________.

Salaries The salaries (in thousands of dollars)for a sample of 13 employees of a firm are: 26.5,23.5,29.7,24.8,21.1,24.3,20.4,22.7,27.2,23.7,24.1,24.8,and 28.2. -Compute the coefficient of variation.

Salaries The salaries (in thousands of dollars)for a sample of 13 employees of a firm are: 26.5,23.5,29.7,24.8,21.1,24.3,20.4,22.7,27.2,23.7,24.1,24.8,and 28.2. -Compute the range.

TV Markets The top twenty TV markets in the United States are: Market TV Homes New York 6,377,180 Los Angeles 4,138,000 Chicago 2,912,020 Philadelphia 2,378,170 San Francisco 1,922,180 Boston-Worcester 1,892,770 Detroit 1,659,020 Cleveland 1,390,300 Washington D.C. 1,339,480 Dallas-Ft. Worth 1,318,340 Houston 1,209,410 Pittsburgh 1,208,260 Miami 1,071,000 Seattle 1,062,040 Minneapolis 1,039,790 Atlanta 1,034,820 St. Louis 1,016,560 Tampa 997,800 Indianapolis 841,510 Baltimore 824,730 -What is the median? ____________________

For each of the past 10 years,the U.S.unemployment rate has been recorded as follows: 6.7,5.5,5.7,5.2,4.5,3.8,3.8,3.6,3.5,and 4.9.Find the mean unemployment rate for this period.

The coefficient of correlation r is a number that indicates the:

Measures of ____________________ are numbers that describe the scatter of the data or the extent to which the data values are spread out.

If the coefficient of correlation r is positive,the dependent variable y and the independent variable x are said to be ____________________ related.

You are interested in beginning a small business enterprise and one aspect of your research is to look at the loan record for stockholders of small business corporations.A14-year record of net loans from stockholders of small business corporations (in billions of dollars)are as follows: 1.6,-0.2,1.0,1.4,-0.1,0.6,1.5,0.9,2.2,1.3,1.9,1.9,2.8,and 5.0. Calculate the mean. ____________________ billion

When a distribution is bell-shaped with the left half identical to the right half,it is:

The measure of dispersion which sums the absolute values of the differences between the individual values and the mean,and then divides by the number of individual values is known as the ____________________.

In order to specify the minimum percentage of observations that will fall within a given number of standard deviations from the mean,____________________ applies to any distribution,regardless of shape of the distribution,while the ____________________ applies only to distributions that are bell-shaped and symmetrical.

The box-and-whisker plot is a graphical device that simultaneously displays measures of central tendency and dispersion.

A perfect straight line sloping upward would produce a correlation coefficient equal to:

Salaries The salaries (in thousands of dollars)for a sample of 13 employees of a firm are: 26.5,23.5,29.7,24.8,21.1,24.3,20.4,22.7,27.2,23.7,24.1,24.8,and 28.2. -Compute the 90th percentile.