Exam 3: Numerical Summaries of Data

Following are heights, in inches, for a sample of college basketball players 76 82 83 83 80 83 81 76 78 81 82 82 79 80 77 80 79 76 76 81 Find the mean height of the basketball players

Approximate the population variance given the following frequency distribution. Class Frequency 0-19 19 20-39 11 40-59 13 60-79 15 80-99 19

A data set contains three unique values. Which of the following must be true?

A data set has a median of 43, and four of the numbers in the data set are less than median. The data set contains a total of n numbers. If n is even, and none of the numbers in the data set are equal to 43, what is the value of n?

Find the mean for the following data set: 20 31 38 26 34 15

Find the median for the following data set: 34 30 25 15 20 20

For the data set below, list the outliers, if any. 38 42 44 38 45 42 60 42 48 40 56 61 65 52 20 92 47 61 30 7

Find the population standard deviation for the following data set: 21 12 20 15 18

The following table presents the heights (in inches) of a sample of college basketball play. Height (in.) Frequency 68-71 18 72-75 49 76-79 66 80-83 48 84-87 10 Considering the data to be a population, approximate the standard deviation of the heights.

A population has a mean $\mu = 21$ and standard deviation $\sigma = 4$ Find the z -score for a population value of 29 .

The table below lists the populations, in thousands, of several rural western counties. What is the median population? County Population (thousands) Aldridge 13 Cleveland 10 McCarthy 16 Pope 20 Sorrell 15 Wilson 25

Find the mean of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 1 2288 2 018 3 58 4 6

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 261 millimeters with a standard deviation of 45 mm. For pompano, the mean is 156 mm with a standard deviation of 24 mm. Stewart caught a bluefish that was 286 mm long, and Gina caught a pompano that was 181 mm long. Who caught the longer fish, relative to fish of the same species?

For the data set below, find the 30th percentile. 64 95 74 70 32 58 24 46 25 17 59 51 7 60 36 67 67 54 33 60

Find the mean for the following data set: 27 15 25 31 35 25

A student has an average of 88 on seven chapter tests. If the student's scores on six of the tests are 91, 91, 92, 82, 91, and 70, what was the score on the remaining test?

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 288 millimeters with a standard deviation of 51 mm. For pompano, the mean is 129 mm with a standard deviation of 40 mm. Stewart caught a bluefish that was 321 mm long. What was the z-score for this length?

The completion times for a certain marathon race was 2.9 hours with a standard deviation of 0.5 hours. What can you determine about these data by using Chebyshev's Inequality with K = 3?

For the data shown in the histogram, which of the following choices best describes the relationship between the median and the mean?

A consumer advocacy group tested the "on-air" lifetimes of a random sample of 162 cell phone batteries. The mean lifetime was 2.9 hours with a standard deviation of 0.4 hours. The lifetimes are approximately bell-shaped. Estimate the number of batteries with lifetimes between 2.1 hours and 3.7 hours.