Exam 2: Describing Data

Use the following The midrange is another way to measure of the center of a distribution. The midrange of a dataset is defined to be the average of the minimum and maximum values in the dataset. -In general, would you think that the midrange should be a resistant statistic? Briefly explain.

A scatterplot of the biologist's data, with the least squares regression line, is provided. There is a clear outlier in the lower left corner of the plot. How would removing this point from the dataset most likely affect the correlation between body length (cm) and body mass (g)?

Use the following The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. ‪ -Based on the output, give an interval that is certain to contain the 60th percentile of the distribution of financial aid amounts.

Use the following Identify which graphical display might be appropriate in each case. The graphs you may choose from are: -Compare the number of points scored for all games played in a season for all football teams in the Big 10 conference.

Use the following Students in a small statistics course collected data to determine if the length of the forearm could be used to predict the length of the foot (both measured in centimeters). Their data are displayed in the provided table. ‪ -A scatterplot of the data with the least squares regression line is shown. What are the coordinates of the point with the most extreme positive residual?

Use the following Use this dataset to compute each of the following summary statistics. 2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17 -Range

Use the following Match the correlation to the corresponding scatterplot. -__________ 0.719

Use the following A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (in grams) based on the length of the porcupine (in cm). Her least squares regression equation is , where M is the mass. -One of the porcupines in the dataset had a body length of 51 cm and a body mass of 5,281 g. Calculate the residual for this porcupine. Use one decimal place in your calculation.

Use the following The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots. -Which state tends to see the fewest tornadoes per year?

Use the following Use this dataset to compute each of the following summary statistics. 2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17 -Q3

Use the following to answer questions : One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for n = 23 patients with the flu are provided. ‪ -Are there any outliers? If so, which data points? Clearly show your work to justify your answer.

Use the following Students in a small statistics course collected data to determine if the length of the forearm could be used to predict the length of the foot (both measured in centimeters). Their data are displayed in the provided table. ‪ -Which of the following would you expect to be true about the association between the length of the forearm and the length of the foot?

Use the following In a 2012 survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table. -Compute the difference in the proportion of men who would prefer a job outside of the home and the proportion of females who would prefer a job outside of the home. Use two decimal places in your answer.

Use the following The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots. -(58, 88, 94, 133, 185) is the five number summary for which state?

Use the following Match the five-number summary to the appropriate boxplot. -__________ 3, 10, 12, 13, 19

Use the following Students in a small statistics course collected data to determine if the length of the forearm could be used to predict the length of the foot (both measured in centimeters). Their data are displayed in the provided table. ‪ -A scatterplot of the data with the least squares regression line is shown. What are the coordinates of the point with the most extreme negative residual?

Use the following February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. -What proportion of college graduates believe in the theory of evolution? Use four decimal places in your answer.

Use the following The least squares regression line is displayed on the provided scatterplot. Note that the points are displayed with numbers (each point having its own number), rather than points. -Which point has the residual that is closest to 0?

Use the following The distribution of waiting times at the student health center is bell-shaped with a mean of 10 minutes and a standard deviation of 3. -Find and interpret the z-score of someone who waits 5 minutes. Round your z-score to two decimal places. Be sure to specifically indicate if a wait time of 5 minutes is unusual.

Use the following Match the five-number summary to the appropriate boxplot. -__________ 1, 3, 4, 6, 8