Exam 3: Describing, Exploring, and Comparing 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.

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? Explain your answer. $- 2.50 , - 1.50,0,1.00,2.25$

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations_ with values less than 86. Find the percentile for 86.

Jorge has his own business as a painter. The amounts he made in the last five months are shown below: $2426 $2463 $1451 $2154 $1119 Find the mean, median, and range of the data.

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.

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.

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.

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 textbook defines significantly low or high values as those data points with z scores less than z =−2.00 or z scores greater than z = 2.00. Comment on this definition with respect to Chebyshev's theorem; refer specifically to the percent of scores which would be defined as significant according to Chebyshev's theorem.

The test scores of 40 students are listed below. Find P85. 6)____________ 30 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

Find the standard deviation for the given sample data. Round your answer to one more_ decimal place than the original data. 18 18 18 9 15 5 10 5 15

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.

Which of the following is not a property of variance?

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's_ center is 6.9 feet tall. Find the center's z score. Is his score unusual?

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?

Approximately what percentage of apple diameters is greater than the 66th percentile?

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.

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

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