Exam 4: Descriptive Statistics

A team of introductory statistics students went to a grocery store and recorded the total calories and fat calories for various kinds of soup.They produced a table of statistics and two dot plots.Write a succinct summary of the center,variability,and shape for each data set.Note: TrimMean is the 5 percent trimmed mean (removing the smallest 5 percent and the largest 5 percent of the values,rounded to the nearest integer.

One disadvantage of the range is that:

The sum of the deviations around the mean is:

Craig operates a part-time snow-plowing business using a 2002 GMC 2500 HD extended cab short box truck.Describe Craig's gasoline mileage based on this histogram of 195 tanks of gas.

Three randomly chosen Colorado students were asked how many times they went rock climbing last month.Their replies were 5,6,7.The coefficient of variation is:

Chebyshev's Theorem says that at most 50 percent of the data lie within 2 standard deviations of the mean.

The midrange is not greatly affected by outliers.

Twelve randomly chosen students were asked how many times they had missed class during a certain semester,with this result: 2,1,5,1,1,3,4,3,1,1,5,18.For this sample,which measure of center is least representative of the "typical" student?

The mode is least appropriate for:

In a sample of 10,000 observations from a normal population,how many would you expect to lie beyond three standard deviations of the mean?

Consider the following data: 6,7,17,51,3,17,23,and 69.The range and the median are:

John scored 35 on Prof.Johnson's exam (Q₁ = 70 and Q₃ = 80).Based on the fences,which is correct?

In a positively skewed distribution,the percentage of observations that fall below the median is:

Which statistics offer robust (resistant to outliers)measures of center?

Which statement is true?

Patient survival times after a certain type of surgery have a very right-skewed distribution due to a few high outliers.Consequently,which statement is most likely to be correct?

Which is a correct statement concerning the median?

A survey of salary increases received during a recent year by 44 working MBA students is shown.Find the approximate mean percent raise.

Estimate the mean exam score for the 50 students in Prof.Axolotl's class.

Find the standard deviation of this sample: 4,7,9,12,15.