Exam 3: Describing, Exploring, and Comparing Data

When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so that a locator of 23.75, for example, leads to a value that is 3/4 of the way between the 23rd and 24th scores. Use this method Of interpolation to find P75 for the set of test scores below. 51 54 64 68 72 74 76 83 94 94 99

Solve the problem. -Jeremy called eight appliance stores and asked the price of a specific model of microwave oven. The prices quoted are listed below: \ 116 \ 479 \ 144 \ 606 \ 369 \ 252 \ 317 \ 492

The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time. 1.5 8.3 6.9 1.8 5.3

Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. -A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11.

Find the midrange for the given sample data. -The Body Mass Index (BMI) is measured for a random sample of men from two different colleges. Interpret the results by determining whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If there is, what is it? Baxter College 24 23.5 22 27 25 21.5 25 24 Banter College 19 20 24 25 31 18 29 28

Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean number of cousins. 15 12 5 14 4 4 6

A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places.

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. 56 65 62 53 68 58 53 68 58 655256

Solve the problem. -If the standard deviation of a set of data is zero, what can you conclude about the set of values?

Solve the problem. -The ages of the members of a gym have a mean of 44 years and a standard deviation of 12 years. What can you conclude from Chebyshev's theorem about the percentage of gym members aged between 26 and 62?

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer?

Find the percentile for the data value. - Data set: 52 31 47 69 73 71 30 ; data value: 52

Solve the problem. -Listed below are the amounts of weight change (in pounds) for ten women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values Correspond to women who lost weight. What is the range? 3 9 5 12 -1 27 0 -8 7 -1

Use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest. 110 120 178 213 234 234 235 237 240 243 245 245 250 250 251 252 254 255 255 259 260 266 269 273 Construct a boxplot and make observations about the shape, if there is skewness including in what direction, anc are any outliers. Explain the skewness in terms of the difference between $Q _ { 1 }$ and the median and $Q _ { 3 }$ and the median. here

Solve the problem. Round results to the nearest hundredth. -Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z-score.

Find the variance for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he Was quoted are listed below: \ 663 \ 273 \ 410 \ 622 \ 174 \ 374

Find the midrange for the given sample data. - 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9

Use the empirical rule to solve the problem. -The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure Between 96 mmHg and 144 mmHg?

Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. -A weight of 224 pounds among a population having a mean weight of 158 pounds and a standard deviation of 23.5 pounds.

A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z score corresponding to the given value and use the z score to determine whether the value is significant. Consider a score to be Significant if its z score is less than -2.00 or greater than 2.00. Round the z score to the nearest tenth if necessary.