Exam 3: Describing, Exploring, and Comparing Data

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

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.

The number of vehicles passing through a bank drive -up line during each 15 -minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a 15 -minute period. 25 27 25 28 28 25 30 27 35 31 31 29 24 31 25 20 15 27 27 27

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

A comparison is made between summer electric bills of those who have central air and those who have window units. Find the mean and median for each of the two samples, then compare the two sets of results. May June July Aug Sept Central \ 32 \ 64 \ 80 \ 90 \ 65 Window \ 15 \ 84 \ 99 \ 120 \ 40

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 Describe how to calculate the limits to determine outliers for this data set? Identify any outliers.

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

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?

Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 years and for a sample of men aged 60-69 years. Men aged 20-29: $117 \quad 122 \quad 129 \quad 118 \quad 131 \quad 123$ Men aged 60-69: $130 \quad 153 \quad 141 \quad 125 \quad 164 \quad 139$ Find the coefficient of variation for each of the two sets of data, then compare the variation Round results to one decimal place.

Construct a data set for which the range is misleading as a measure of variation. the range is misleading and suggest an alternative measure of variation.

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

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 A) $\$ 900$ B) $\$ 920$ C) $\$ 930$ D) $\$ 910$

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.

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.

Which of the following is not a property of variance?

The race speeds (in minutes) for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. 181.0 180.6 189.2 182.2 175.6 180.0 177.9 181.8

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

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

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 81 71 202 113 269 248 242 Find the median number of newspapers sold.