Exam 7: Summarizing and Displaying Measurement Data

Suppose you look at two boxplots comparing the weights of male cats vs.female cats, and you find that the box for the males is much wider than the box for the females.What does this mean about the data sets?

Name two questions that can be answered by determining the shape of a data set.

For Questions , use the following narrative Narrative: School costs Suppose a random sample of liberal arts schools was taken, and the average cost per student was measured for each school.The data are pictured in the histogram below: -{School cost narrative} Two measures of center were calculated for this data set and were found to be $26,668, and $34,832.One of them is the mean, and the other is the median.Which one is which, and how do you know that?

The __________ is a measure of center with half of the scores falling at or above it and half of the scores falling at or below it.

A data set is __________ if the two halves of the data set (when cut down the middle) are mirror images of each other.

The amount of spread in the data is a measure of what characteristic of a data set?

Which of the following does not require the data to be ordered before you can get the right answer?

Which of the following is not a measure of spread or variability in a data set?

Explain what is meant by the standard deviation in terms that a non-statistician would understand.

For Questions , use the following narrative Narrative: School costs Suppose a random sample of liberal arts schools was taken, and the average cost per student was measured for each school.The data are pictured in the histogram below: -{School cost narrative} Describe the four important characteristics of this data set (for example, the shape) using words that a parent exploring the cost of liberal arts colleges would find useful.

If the shape of a data set is __________ then the mean and the median should be about equal.

Which of the following methods is the most appropriate one for 'proving' someone cheated on a multiple choice exam who was allegedly looking at someone else's paper?

What is the simplest measure of variability in a data set?

Because the __________ can be distorted by high outliers, the center of a data set involving incomes or prices is usually summarized using the __________.

Which of the following statements is statistically correct?

Which of the following statements regarding stemplots is false?

For Questions , use the following narrative Narrative: Quiz scores Bob has taken 6 quizzes so far in his statistics class.Each quiz has a possible of 10 total points.Bob's scores are the following: 10, 8, 9, 7, 2, and 9. -{Quiz scores narrative} Explain how (if) Bob's lowest quiz score affects the mean and the median of this data set.

Which of the following statements is true?

Suppose that in a five-number summary you find that a larger gap exists between the third quartile and the highest value than between the lowest value and the first quartile.What does this mean about the shape of the data set?

Name two uses of a boxplot.