Exam 3: Describing, Exploring, and Comparing Data

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.

How will a high outlier in a data set affect the mean and median?

Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How Many standard deviations from the mean is that? Round your answer to two decimal places.

Use the given sample data to find $Q _ { 3 }$ . 49 52 52 52 74 67 55 55

The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second system in which each caller is immediately connected with a Live agent. A quality control manager selects a sample of seven calls each day. He records the Time for each customer to have his or her question answered. The times (in minutes)are listed below. Find the coefficient of variation for each of the two sets of data, then compare the Variation. Round results to one decimal place. Automated Menu: 11.7 7.4 3.9 2.9 9.2 6.3 5.5 Live agent: 6.2 2.9 4.4 4.1 3.4 5.2 3.7

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data. 22.6 16.1 36.1 36.0 23.8 20.3

An online service ran a poll of its internet subscribers and asked whether they would re-elect the current President. Among the 1,304,240 responses, 768,731 answered "yes", 286,756 answered "no", and 248,753 said it was "too soon to decide". Given how large this sample is, can it be considered to be representative of the population of the United States? Explain.

Find the variance for the given sample data. Round your answer to one more decimal place than the original data. 7 7 2 5 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, and if there are any outliers. Explain the skewness in terms of the difference between Q1 and the median and Q3 and the median.

The table below provides a frequency distribution for the winner of the Davis Cup Tennis Competition during the period 1977-1994. Winner of Davis Cup Frequency United States 6 Germany 3 Czechoslovakia 1 Australia 3 France 1 Sweden 4 Which measure of center, the mean, the median, or the mode is most appropriate here? Why?

The following are interval times (minutes)between eruptions of the Old Faithful geyser in Yellowstone National Park (based on U.S. National Park Service data). 81 81 86 87 89 92 93 94 95 96 97 98 98 101 101 106 Identify the five number summary and construct a boxplot of these data.

The tallest living man has a height of 247 cm and the tallest living woman is 236 cm tall. Heights of mean have a mean of 175 cm and a standard deviation of 7 cm. Heights of women have a mean of 162 cm and a standard deviation of 6 cm. Relative to the population of the same gender, determine who is taller by comparing z scores. Include an explanation.

Carbon monoxide is measured in one city for five different days. The mean of those values is 0.62 parts per million. Four of the values (in parts per million)are 0.3, 0.4, 1.1, and 0.7. Find the missing value. If n is the number of values, how many of the n values can be freely assigned before the remaining values are determined? What is that called?

A male student of the author has a measured pulse rate of 52 beats per minute. According to a National Center for Health Statistics data set, males have a mean pulse rate of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Determine whether the student's pulse rate is significantly low or high by determining the difference between the student's pulse rate and the mean pulse rate of males and how many standard deviations that difference represents by calculating the z score. Consider usual pulse rates to be within 2 standard deviations of the mean.

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm)of randomly selected adult males. A frequency distribution is created from the data. The frequencies in order are 1, 8, 56, 237, 382, 228, 48, 4, 1. Does it appear that the sample is from a population with a normal distribution? Explain.

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 variance for the given sample data. Round your answer to one more decimal place than the original data. 7 7 2 5 1

The prices (in dollars)of 12 electric smoothtop ranges are listed below. Find the range for the given sample data. 865 1010 655 565 1465 1110 710 765 820 1310 555 1065

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. The test scores of 40 students are listed below. 25 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98