Exam 4: Understanding and Comparing Distributions

Shown below are the boxplot,the histogram and summary statistics for the highest temperatures ever recorded (in °F)in 32 different states in the U.S.A. Write a few sentences describing the distribution.

The boxplots display case prices (in dollars)of white wines produced by three vineyards in south-western Ontario.In which vineyard are the wines generally more expensive?

The ages of the 21 members of a track and field team are listed below. Choose the boxplot that represents the given data. I II III IV V

Here is the stem-and-leaf display of the midterm test scores for a high school typing class. Would you use the median or the mean to describe the centre of this distribution?

A business owner recorded her annual profits for the first 12 years since opening her business in 1993.The stem-and-leaf display below shows the annual profits in thousands of dollars.Use both the stemplot and timeplot to describe the distribution.

The test scores of 15 students are listed below.

Here is a histogram of the assets (in millions of dollars)of 71 companies. Which of the following is an appropriate re-expression of these data? (More than one may be appropriate. ) I II III

The back-to-back stem-and-leaf display compares the annual precipitation,in millimetres,of of two towns over a period of 14 years.The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9. Key: 20 | 7 = 20.7 millimetres

In May 2011,17 coffee shops in Vancouver charged the following amounts,in dollars,for a large cup of coffee (including tax).The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9. Key: 2.1 | 7 = $2.17

The times,in minutes,it took for 21 students to finish writing a statistics test are given below.

Shown below are the boxplot and the histogram for the weights (in pounds)of 30 newborn babies in the U.S.A.. i.What features of the distribution can you see in both the histogram and the boxplot? ii.What features of the distribution can you see in the histogram that you could not see in the boxplot?

Do men and women run a 5-kilometre race at the same pace? Here are boxplots of the time (in minutes)for a race recently run in Victoria,B.C..Write a brief report discussing what these data show.

The Ontario Ministry of Education collects data on the number of years of teaching experience of high school teachers.A sample taken this year of 19 high school teachers yielded the following data on number of years of teaching experience.

Here are the average mathematics achievement scores for ninth graders in 34 counties.

Here are some statistics for the annual Wildcat golf tournament: Lowest score = 57 Mean score = 97 Median = 105 Range = 93 IQR = 109 Q1 = 39 Standard deviation = 14 Between what two values are the middle 50% of the scores found?

The test scores of 40 students are listed below. Choose the boxplot that represents the given data. I II III IV V

A medical study of the effects of on Drug X asked adult volunteers to take a heart-rate test one hour after taking Drug X.Some took a placebo (a pill containing no active ingredients),some were given a regular dose of Drug X,and others were given half a regular dose of Drug X.Here are the 5-number summaries for each group's scores on the test (# of beats that the heart rate increased when timed for 60 seconds): a)Describe the W's for these data. b)Name the variables and classify each as categorical or quantitative. c)Write a few sentences comparing the results of the three groups (create parallel boxplots to help you,if necessary. )

Here are the average mathematics achievement scores for ninth graders in 32 counties.

The centre for health in a certain country compiles data on the length of stay by patients in short-term hospitals and publishes its statistical findings annually.Data from a sample of 67 male patients and 63 female patients on length of stay (in days)are displayed in the histograms below. i)What would you suggest be changed about these histograms to make them easier to compare? ii)Describe these distributions by writing a few sentences comparing the duration of hospitalization for men and women. Iii)Can you suggest a reason for the peak in women's length of stay?

The weekly salaries (in dollars)of sixteen government workers are listed below.