BackReported and Measured Heights Listed below are self-reported heights of males aged 16 and over and their corresponding measured heights (based on data from the National Health and Nutrition Examination Survey). All heights are in inches. First find the differences (reported height–measured height), and then use those differences to find the (h) Q1, (i) Q3
Building Basic Skills and Vocabulary
True or False? In Exercises 1–4, determine whether the statement is true or false. If it is false, rewrite it as a true statement.
A data set can have the same mean, median, and mode.
Constructing Data Sets In Exercises 5– 8, construct the described data set. The entries in the data set cannot all be the same.
Mean and median are the same and the data is bimodal.
Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Cholesterol The cholesterol levels of a sample of 10 female employees
154 240 171 188 235 203 184 173 181 275
Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Power Failures The durations (in minutes) of power failures at a residence in the last 10 years
18 26 45 75 125 80 33
40 44 49 89 80 96 125
12 61 31 63 103 28 19
Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Judicial System The responses of a sample of 34 young adult United Kingdom males in custodial sentences who were asked what is affected by such sentences (Adapted from User Voice)
Mental health: 8
Trust: 3
Education: 8
Personal development: 5
Family: 3
Future opportunities: 3
Other: 4
Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Weights (in pounds) of Packages on a Delivery Truck
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Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Prices (in dollars) of Flights from Chicago to Alanta
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In Exercises 37– 40, without performing any calculations, determine which measure of central tendency best represents the graphed data. Explain your reasoning.
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Protein Powder During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1525, 1526, 1502, 1516, 1529, and 1511.
a. Find the mean and the median of the contents.
U.S. Trade Deficits The table at the left shows the U.S. trade deficits (in billions of dollars) with 18 countries in 2020. (Source: U.S. Department of Commerce)
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a. Find the mean and the median of the trade deficits.
Tail lengths (in feet) for a sample of American alligators are listed.
6.5 3.4 4.2 7.1 5.4 6.8 7.5 3.9 4.6
a. Find the mean, median, and mode of the tail lengths. Which best describes a typical American alligator tail length? Explain your reasoning.
The overall averages of 12 students in a statistics class prior to taking the final exam are listed.
67 72 88 73 99 85 81 87 63 94 68 87
a. Find the mean, median, and mode of the data set. Which best represents the center of the data?
Weekly salaries (in dollars) for a sample of construction workers are listed.
1100 720 1384 1124 1255 976 718 1316
749 1062 1248 891 969 790 860 1100
a. Find the mean, median, and mode of the salaries. Which best describes a typical salary?
Extending Concepts
Golf The distances (in yards) for nine holes of a golf course are listed.
336 393 408 522 147 504 177 375 360
a. Find the mean and the median of the data.