Chapter 7

For each set of numbers, find the minimum, the maximum, and the range. $$ 3,7,10,16,25,38 $$

Summarize each set of data in Exercises \(1-4\) using a frequency table. Tennis. The four major annual tennis tournaments are called the Grand Slam tournaments. The following list gives the Grand Slam men's singles champions for \(2014-2017 .\) Stan Wawrinka, Rafael Nadal, Novak Djokovic, Marin Cilic, Novak Djokovic, Stan Wawrinka, Novak Djokovic, Novak Djokovic, Novak Djokovic, Novak Djokovic, Andy Murray, Stan Wawrinka, Roger Federer, Rafael Nadal, Roger Federer, Rafael Nadal

For each set of numbers, find the minimum, the maximum, and the range. $$ 1,6,15,97 $$

Summarize each set of data in Exercises \(1-4\) using a frequency table. Baby Names. The following list gives the most popular names for baby girls in the United States for \(2001-2016 .\) Emily, Emily, Emily, Emily, Emily, Emily, Emily, Emma, Isabella, Isabella, Sophia, Sophia, Sophia, Emma, Emma, Emma

For each set of numbers, find the minimum, the maximum, and the range. $$ 12,16,38,112,5 $$

Summarize each set of data in Exercises \(1-4\) using a frequency table. $$ 4,4,7,6,0,4,2,4,4,7,5,7,7,4,0,6,6,6,7,0,4,5,5 $$

For each set of numbers, find the minimum, the maximum, and the range. $$ 8,7,5,9,6,11 $$

Summarize each set of data in Exercises \(1-4\) using a frequency table. $$ 31,28,31,30,31,30,31,31,30,31,30,31 $$

For each set of numbers, find the minimum, the maximum, and the range. $$ 2,3,3,2,2,3,3 $$

For each set of numbers, find the minimum, the maximum, and the range. $$ 8,3,8,7,3,3,6 $$

Find each of the following probabilities. Rolling a Die. In Exercises \(7-12,\) assume that one die is rolled. Find the probability that an odd number is rolled.

Find each of the following probabilities. Rolling a Die. In Exercises \(7-12,\) assume that one die is rolled. Find the probability that a number greater than 2 is rolled.

Playing Cards. In Exercises \(13-18\), assume that one card is randomly selected from a well-shuffled deck (see p. 460). Find the probability that the card is a picture card (jack, queen, or king).

Playing Cards. In Exercises \(13-18\), assume that one card is randomly selected from a well-shuffled deck (see p. 460). Find the probability that a red picture card (jack, queen, or king) is selected.

The 2017 Kia Optima LX does \(396 \mathrm{mi}\) of highway driving on 11 gal of gasoline. What is the mean number of miles expected per gallon-that is, what is the gas mileage?

The 2017 Chevrolet Malibu with a 1.5 \(\mathrm{L}\) engine does \(243 \mathrm{mi}\) of city driving on \(9 \mathrm{gal}\) of gasoline. What is the mean number of miles expected per gallon \(-\) that is, what is the gas mileage?

The following prices per stalk of Brussels sprouts were found at five farmers' markets: $$ \begin{array}{llll} \$ 3.99, & \$ 4.49, & \$ 4.99, & \$ 3.99, & \$ 3.49 . \end{array} $$ What was the mean price per stalk? the median price? the mode?

The most popular fruit in the world is the mango, which is grown in over 2000 varieties. The following prices per pound of mangoes were found at five supermarkets: $$ \begin{array}{lllll} 2.49, & \$ 1.59, & \$ 2.29, & \$ 2.49, & \$ 2.29 . \end{array} $$ What was the mean price per pound? the median price? the mode?

Album Sales. There were 200.5 million music albums sold in \(2016 .\) Of these, 104.8 million were CDs. What percent of albums sold were CDs? Round to the nearest tenth of a percent. \([6.5 \mathrm{a}]\)

To get a B in math, Rich must score an average of 80 on five tests. His scores on the first four tests were \(80,74,81,\) and \(75 .\) What is the lowest score that Rich can get on the last test and still receive a B?

Highest Mountains. The following stem-and-leaf plots give the heights of the 20 highest mountains in North America and in South America. Use the plots to answer Exercises 23-26. Which of the two continents contains the highest mountain?

Digital Downloads. There were 964.3 million songs downloaded in \(2015,\) and 723.7 million songs downloaded in 2016 . What was the percent decrease from 2015 to \(2016 ?\) Round to the nearest tenth of a percent. \([6.5 \mathrm{~b}]\)

To get an A in math, Cybil must score an average of 90 on five tests. Her scores on the first four tests were \(90,91,81,\) and \(92 .\) What is the lowest score that Cybil can get on the last test and still receive an \(\mathrm{A} ?\)

A coin is flipped twice. What is the probability that two heads occur?

Marta was pregnant 270 days, 259 days, and 272 days for her first three pregnancies. In order for Marta's average pregnancy to equal the worldwide average of 266 days, how long must her fourth pregnancy last?

A coin is flipped twice. What is the probability that one head and one tail occur?

Jason's brothers are \(174 \mathrm{~cm}, 180 \mathrm{~cm},\) \(179 \mathrm{~cm},\) and \(172 \mathrm{~cm}\) tall. The average male is \(176.5 \mathrm{~cm}\) tall. How tall is Jason if he and his brothers have an average height of \(176.5 \mathrm{~cm}\) ?

Highest Mountains. The following stem-and-leaf plots give the heights of the 20 highest mountains in North America and in South America. Use the plots to answer Exercises 23-26. Find the mean of the heights of the 20 highest mountains in South America.

Highest Bridges. The following list gives the distance, in meters, from the road surface to the water or ground below for the 20 highest bridges in the world. Create a stem-and-leaf plot to represent the data. Hint: Let each leaf represent the digit in the tens place. $$ 570,500,360,340,370,320,490,390,320,430, $$ 330,360,400,330,370,460,390,320,380,340

A day is chosen randomly during a leap year. What is the probability that the day is in July?

The following table lists salaries for two small companies. a) Find the median salary for each company. b) Which company has the higher median salary? $$ \begin{array}{|r|r|} \hline \text { VALUE SERVICES } & \text { DEPENDABLE CARE } \\ \hline \$ 48,267 & \$ 18,242 \\ 32,193 & 21,607 \\ 189,607 & 98,322 \\ 56,189 & 87,212 \\ 28,394 & 56,812 \\ 152,693 & 42,394 \\ 42,681 & 50,112 \\ & 52,987 \\ \hline \end{array} $$

Unemployment Rates. In August 2017 , the United States unemployment rate was \(4.4 \%\). The following list gives the unemployment rates for the 26 states with rates statistically different from the nation's rate. Create a stem-and- leaf plot to represent the data. $$ \begin{array}{l} 7.2,3.5,5.1,2.4,6.4,2.6,2.9,3.5,3.3,3.9,5.4,3.8 \\ 3.8,5.3,3.9,2.8,2.7,6.3,2.3,5.4,3.3,3.3,3.5,3.0 \end{array} $$ 3.8,3.4

Average Temperature. The following list gives the average annual temperature, in degrees Fahrenheit, for each of 50 states. Create a stem-and-leaf plot to represent the data. $$ \begin{array}{l} 63,27,60,60,59,45,49,55,71,64,70,44,52,52, \\ 48,54,57,66,41,54,48,44,41,63,55,43,49,50, \\ 44,53,53,45,59,40,51,40,48,49,50,62,45,58, \\ 65,49,43,55,48,52,43,42 \end{array} $$

Average Rainfall. The following list gives the average annual rainfall, in inches, for each of 50 states. Create a stem-and-leaf plot to represent the data. $$ \begin{array}{l} 58,23,14,51,22,16,50,46,55,51,64,19,39,42, \\ 34,29,49,60,42,45,48,33,27,59,42,15,24,10, \\ 43,47,15,42,50,18,39,40,27,43,48,50,20,54, \\ 29,12,43,44,38,45,33,13 \end{array} $$

Find the quartiles for each set of numbers. $$ 4,8,10,16,12,25,30,32,14,28 $$

Find the quartiles for each set of numbers. $$ 13,1,17,26,18,15,12,4 $$

Find the quartiles for each set of numbers. $$ 12,2,3,6,7,11,5,2,10 $$

Find the quartiles for each set of numbers. $$ 2,3,7,3,7,5,2,9,9,4,6 $$

Find the five-number summary for each set of numbers. $$ 88,73,62,90,94,98,82,87,77,79,77 $$

Find the five-number summary for each set of numbers. $$ 12,97,32,16,83,11,10,62,9,48,53,13,28 $$

Find the five-number summary for each set of numbers. $$ 3.9,3.8,1.1,1.2,2.7,4.0,2.8,3.4,3.2,3.7 $$

Find the five-number summary for each set of numbers. $$ \$ 1.48, \$ 2.95, \$ 3.67, \$ 1.22, \$ 3.51, \$ 4.96, \$ 3.52, \$ 3.99 $$

Multiply. $$ 12.86 \times 17.5 \quad[4.3 \mathrm{a}] $$

Multiply. $$ 222 \times 0.5678 \quad[4.3 \mathrm{a}] $$

Multiply. $$ \frac{4}{5} \cdot \frac{3}{28} \quad[2.6 \mathrm{a}] $$

Multiply. $$ \frac{28}{45} \cdot \frac{3}{2} \quad[2.6 \mathrm{a}] $$

Simplify. $$ \left(\frac{3}{5}\right)^{2}-\frac{1}{10} \cdot 2 \frac{1}{2} $$

Hank Aaron averaged \(34 \frac{7}{22}\) home runs per year over a 22-year career. After 21 years, Aaron had averaged \(35 \frac{10}{21}\) home runs per year. How many home runs did Aaron hit in his final year?

Simplify. $$ 1000 \div 100 \div 2 \cdot 5 $$

Amy offers \(\$ 6400\) for a used Ford Taurus advertised at \(\$ 8000\). The first offer from Jim, the car's owner, is to "split the difference" and sell the car for \((6400+8000) \div 2,\) or \(\$ 7200\). Amy's second offer is to split the difference between Jim's offer and her first offer. Jim's second offer is to split the difference between Amy's second offer and his first offer. If this pattern continues and Amy accepts Jim's third (and final) offer, how much will she pay for the car?