Exam 7: Summarizing and Displaying Measurement Data

A __________ is a quick and easy way to put a list of numbers into order while getting a picture of their shape.

What is wrong with the following statement: "Today's temperature of 101 in Los Angeles was a record high for October, a whopping 17 degrees above normal for this date."

For Questions , use the following narrative Narrative: Liberal arts costs A random sample of 25 liberal arts colleges in the U.S.was selected, and the average cost per student was recorded for each school.The following five-number summary was calculated for this data set: lowest = $17,554; lower quartile = $23,115; median = $26,668; upper quartile = $45,879; highest = $102,262. -{Liberal arts costs narrative} Using the definition of outlier discussed in your textbook, is there an outlier in this data set? Explain your answer.

Suppose that in a five-number summary you find that a larger gap exists between the extremes and the quartiles than between the quartiles and the median.What does this mean about the shape of the data set?

Which of the following measures of center is affected by an outlier?

Name the four kinds of useful information that you can get about a set of measurement data once it has been organized and summarized.

For Questions , use the following narrative Narrative: Liberal arts costs A random sample of 25 liberal arts colleges in the U.S.was selected, and the average cost per student was recorded for each school.The following five-number summary was calculated for this data set: lowest = $17,554; lower quartile = $23,115; median = $26,668; upper quartile = $45,879; highest = $102,262. -{Liberal arts costs narrative} Make a boxplot of this data set and use it to discuss the shape of the data.

For Questions , use the following narrative Narrative: Create data Suppose you can create your own data set by choosing from the numbers 1, 2, 3, 4, and 5.You can repeat a number as many times as you wish, as long as your final data set contains four numbers in it.Here are two examples of data sets you could create: {1, 2, 3, 4} or {1, 1, 5, 5}. -{Create data narrative} Create a data set that has mean 3 and standard deviation 0.

The __________ is the distance between the lower and upper quartiles in a boxplot.

The __________ are the medians of the two halves of an ordered data set.

For Questions , use the following narrative Narrative: Acceptance rates A random sample of 50 colleges and universities in the U.S.was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school).The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67. -{Acceptance rates narrative} Describe the center of this data set in words a prospective student would understand.

If you just use an average to describe a set of measurements, is this enough? Explain your answer.

Which of the following two data sets has the larger standard deviation: Data Set A= {1, 1, 5, 5} or Data Set B= {1, 3, 3, 5}?

What are the five numbers used in a five-number summary?

Describe which numerical summaries (statistics) of a dataset a boxplot is based upon.

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} Find the three measures of center for Bob's quiz scores.

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} How many schools were sampled in this study?

For Questions , use the following narrative Narrative: Acceptance rates A random sample of 50 colleges and universities in the U.S.was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school).The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67. -{Acceptance rates narrative} Find the range of the acceptance rates and give one possible reason that it is such a high number.

A five-number summary involves the lower quartile, the upper quartile, the lowest number, the highest number, and the __________.

What is the relationship between the variance and the standard deviation?