Basic Mathematical Skills with Geometry

Stefan Baratto, Barry Bergman, Don Hutchison

Chapter 9 Data Analysis and Statistics - all with Video Answers

Educators

Section 1

Means, Medians, and Modes

01:03

Problem 1

Find the mean of each set of numbers.
$$6,9,10,8,12$$

Emily Burns

Numerade Educator

01:12

Problem 2

Find the mean of each set of numbers.
$$13,15,17,17,18$$

Emily Burns

Numerade Educator

01:38

Problem 3

Find the mean of each set of numbers.
$$13,15,17,19,24,25$$

Emily Burns

Numerade Educator

01:18

Problem 4

Find the mean of each set of numbers.
$$41,43,56,67,69,72$$

Emily Burns

Numerade Educator

01:41

Problem 5

Find the mean of each set of numbers.
$$12,14,15,16,16,16,17,22,25,27$$

Emily Burns

Numerade Educator

01:54

Problem 6

Find the mean of each set of numbers.
$$21,25,27,32,36,37,43,43,44,51$$

Emily Burns

Numerade Educator

01:08

Problem 7

Find the mean of each set of numbers.
$$5,8,9,11,12$$

Emily Burns

Numerade Educator

01:32

Problem 8

Find the mean of each set of numbers.
$$7,18,11,7,12$$

Emily Burns

Numerade Educator

01:20

Problem 9

Find the mean of each set of numbers.
$$9,8,11,14,9$$

Emily Burns

Numerade Educator

01:11

Problem 10

Find the mean of each set of numbers.
$$21,23,25,27,22,20$$

Emily Burns

Numerade Educator

01:11

Problem 11

Find the median of each set of numbers.
$$2,3,5,6,10$$

Emily Burns

Numerade Educator

01:07

Problem 12

Find the mean of each set of numbers.
$$12,13,15,17,18$$

Emily Burns

Numerade Educator

01:28

Problem 13

Find the mean of each set of numbers.
$$23,24,27,31,36,38$$

Emily Burns

Numerade Educator

01:00

Problem 14

Find the mean of each set of numbers.
$$1,4,9,15,25,36$$

Emily Burns

Numerade Educator

01:19

Problem 15

Find the mean of each set of numbers.
$$46,13,47,25,68,51$$

Emily Burns

Numerade Educator

01:50

Problem 16

Find the mean of each set of numbers.
$$26,71,69,33,71,25,75$$

Emily Burns

Numerade Educator

03:48

$$\text { Set: } 45,60,70,38,54,64,70$$
(a) Calculate the mean of the set of numbers (to the nearest hundredth).
(b) Find the median of the set of numbers.
(c) Is the mean or median a better indicator of the average number in the set?

Emily Burns

Numerade Educator

04:21

Problem 18

Set: $140,125,128,150,810,112,144,153$
(a) Calculate the mean of the set of numbers.
(b) Find the median of the set of numbers.
(c) Is the mean or median a better indicator of the average number in the set?

Emily Burns

Numerade Educator

04:46

Problem 19

Business AND FINANCE A real estate agent lists eight houses for sale at the prices shown below. $\$ 209,000$
$\$ 224,900$
$\$ 249,900 \quad \$ 215,000$
$\$ 289,900$
$\$ 265,000 \quad \$ 274,900 \quad$ S7 $49,900$
(a) Calculate the mean home price of the agent's listings.
(b) Find the median home price of the agent's listings.
(c) Is the mean or median a better indicator of the typical home price listed?

Emily Burns

Numerade Educator

01:17

Problem 20

A group of students takes an exam. Their test scores are shown below.
$82,76,90,94,88,64,72,92,88,76,80$
(a) Calculate the mean test score.
(b) Find the median test score.
(c) Is the mean or median a better indicator of the typical test score?

Manisha Sarker

Numerade Educator

01:25

Problem 21

A physician sees 12 female patients in one day. As part of her examination, she measures the height of each patient. Their heights are listed below, in inches.
$66,60,62,64,64,58,63,68,65,64,63,65$
(a) Calculate the mean height of her female patients.
(b) Find the median height of her female patients.
(c) Is the mean or median a better indicator of the typical height of her female patients?

Sneha Ravi

Numerade Educator

01:37

Problem 22

An IT firm forms a group to solve server issues encountered by their customer base. The group is selected from throughout the firm's ranks. The annual salary of each group member is shown below. $\$ 68,000$
$\$ 46,000$
$\$ 52,000$
$\$ 85,400 \quad \$ 89,500$
$\$ 105,000$ $\$ 72,000$
$\$ 68,000$
$\$ 740,000$
(a) Calculate the mean salary of the group members.
(b) Find the median salary of the group members.
(c) Is the mean or median a better indicator of the typical group member's

Ahmad Reda

Numerade Educator

01:09

Problem 23

Find the mode of each set of numbers.
$$17,13,16,18,17$$

Emily Burns

Numerade Educator

00:22

Problem 24

Find the mode of each set of numbers.
$$41,43,56,67,69,72$$

Emily Burns

Numerade Educator

01:42

Problem 25

Find the mode of each set of numbers.
$$21,44,25,27,32,36,37,44$$

Emily Burns

Numerade Educator

01:09

Problem 26

Find the mode of each set of numbers.
$$9,8,10,9,9,10,8$$

Emily Burns

Numerade Educator

01:42

Problem 27

Find the mode of each set of numbers.
$$12,13,7,14,4,11,9$$

Emily Burns

Numerade Educator

01:09

Problem 28

Find the mode of each set of numbers.
$$8,2,3,3,4,9,9,3$$

Emily Burns

Numerade Educator

01:09

Problem 29

Find the mode of each set of numbers.
The following are eye colors from a class of eight students. Which color is the mode? hazel, green, brown, brown, blue, green, hazel, green

Emily Burns

Numerade Educator

01:42

Problem 30

Find the mode of each set of numbers.
The weather in Philadelphia over the last 7 days was as follows: rain, sunny, cloudy, rain, sunny, rain, rain What type of weather was the mode?

Emily Burns

Numerade Educator

00:48

Problem 31

Solve each application.
Staristics High temperatures of $86^{\circ}, 91^{\circ}, 92^{\circ}, 103^{\circ},$ and $98^{\circ} \mathrm{F}$ were recorded for the first 5 days of July. What was the mean high temperature?

James Kiss

Numerade Educator

01:24

Problem 32

Solve each application.
Statistics A salesperson drove $238,159,87,163,$ and 198 miles (mi) on a 5-day trip. What was the mean number of miles driven per day?

Dominador Tan

Numerade Educator

View

Problem 33

Solve each application.
Statistics Highway mileage ratings for seven new diesel cars were $43,29,51,36$ $33,42,$ and 32 miles per gallon (mi/gal). What was the mean rating?

Sheryl Ezze

Numerade Educator

01:25

Problem 34

Startstics The enrollments in the four elementary schools of a district are 278 $153,215,$ and 198 students. What is the mean enrollment?

Qudsiya Anis

Numerade Educator

00:52

Problem 35

Determine whether each statement is true or false.
The mode can only be found for sets of numbers.

Rebecca Dias

Numerade Educator

01:29

Problem 36

Determine whether each statement is true or false.
The mean can be larger than most of the data.

Hira Hussain

Numerade Educator

00:27

Problem 37

In each statement, fill in the blank with always, sometimes, or never.
The mean and the median are the same number.

Kerry Thornton-Genova

Numerade Educator

00:27

Problem 38

In each statement, fill in the blank with always, sometimes, or never.
To find the median, you must put the numbers in order.

Kerry Thornton-Genova

Numerade Educator

02:04

Problem 39

Statistics To get an A in history, you must have a mean of 90 on five tests. Your scores thus far are $83,93,88,$ and $91 .$ How many points must you have on the final test to receive an A? (Hint: First find the total number of points you need to get an A.)

Ankit Gupta

Numerade Educator

01:21

Problem 40

Statistics To pass biology, you must have a mean of 70 on six quizzes. So far your scores have been $65,78,72,66,$ and $71 .$ How many points must you have on the final quiz to pass biology?

Erika Bustos

Numerade Educator

00:59

Problem 41

Startstics Louis had scores of $87,82,93,89,$ and 84 on five tests. Tamika had scores of $92,83,89,94,$ and 87 on the same five tests. Who had the higher mean score? By how much?

Victor Salazar

Numerade Educator

02:12

Problem 42

Statistics The Wong family had heating bills of $\$ 105$, $\$ 110, \$ 90,$ and $\$ 67$ in the first 4 months of $2003 .$ The bills for the same months of 2004 were $\$ 110, \$ 95, \$ 75,$ and $\$ 76 .$ In which year was the mean monthly bill higher? By how much?

Sheryl Ezze

Numerade Educator

01:43

Problem 43

What is the mean number of kilowatt-hours used each month by the four families for heating their homes?

Salamat Ali

Numerade Educator

00:54

Problem 44

What is the mean number of kilowatt-hours used each month by the four families for hot water?

Mayukh Banik

Numerade Educator

01:09

Problem 45

What is the mean number of kilowatt-hours used per appliance by the McCarthy family?

Brianna Owen

Numerade Educator

01:09

Problem 46

What is the mean number of kilowatt-hours used per appliance by the Gregg family?

Brianna Owen

Numerade Educator

00:33

Problem 47

Use your calculator to find the mean of each set of numbers.
$$48,50,51,52,49,50$$

Victor Salazar

Numerade Educator

01:12

Problem 48

Use your calculator to find the mean of each set of numbers.
$$20,18,17,24,22,19$$

Emily Burns

Numerade Educator

01:12

Problem 49

Use your calculator to find the mean of each set of numbers.
$$346,351,353,347,341,382,373,363$$

Emily Burns

Numerade Educator

01:32

Problem 50

Use your calculator to find the mean of each set of numbers.
$$1,560,1,540,1,570,1,555,1,565,1,545,1,557$$

Emily Burns

Numerade Educator

01:12

Problem 51

Use your calculator to find the mean of each set of numbers.
$$16,430,15,487,17,982,11,290,21,908,16,545$$

Emily Burns

Numerade Educator

01:12

Problem 52

Use your calculator to find the mean of each set of numbers.
$$311,431,286,356,356,090,292,007,301,857,299,005$$

Emily Burns

Numerade Educator

01:32

Problem 53

Use your calculator to find the mean of each set of numbers.
$$18,21,20,22$$

Emily Burns

Numerade Educator

01:00

Problem 54

Use your calculator to find the mean of each set of numbers.
$$356,371,366,373,359,363$$

Emily Burns

Numerade Educator

01:00

Problem 55

Use your calculator to find the mean of each set of numbers.
$$1,898,1,913,1,875,1,937$$

Emily Burns

Numerade Educator

01:12

Problem 56

Use your calculator to find the mean of each set of numbers.
$$15,865,16,270,16,090,15,904$$

Emily Burns

Numerade Educator

04:21

Problem 57

Business and FINANCE The revenue for the leading apparel companies in the United States in 1997 is given in the table.

Luis Fernando Olloqui Regalado

Numerade Educator

01:09

Problem 58

BUSINESS AND FINANCE
(TABLE CANT COPY)

Ankit Gupta

Numerade Educator

04:07

Problem 59

The work stoppages (strikes and lockouts) in the United States from 1995 to 2002 are given in the table.
Find the mean number of work stoppages per year from 1995 to 2002 .
(TABLE CANT COPY)

Nick Johnson

Numerade Educator

01:59

Problem 60

Find the mean number of work days idle from 1995 to 2002 .

Rebecca Wickersham

Numerade Educator

02:06

Problem 61

INFORMATION TECHNOLOGY Response times in milliseconds (ms) from your computer to a local router using ping are given by the table.
$$\begin{array}{ll}
2.2 & 2.5 \\
2.3 & 2.4 \\
1.9 & 2.2 \\
2.0 & 2.4 \\
2.5 & 2.5
\end{array}$$
(a) Compute the mean.
(b) Compute the median.
(c) Compute the mode.

Harsh Gadhiya

Numerade Educator

03:00

Problem 62

Construction The thicknesses (in $\mathrm{mm}$ ) of several parts are as follows:
$30.9,30.7,29,30.6,29.3,31.2,29.3$
(a) Calculate the mean. Round to the nearest hundredth.
(b) Find the median.
(c) Find the mode.

Sheryl Ezze

Numerade Educator

07:34

Problem 63

Automotive Early in $2005,$ twenty gas stations from around the United States were surveyed to determine the price of regular gasoline. The raw data are as follows:
$$\begin{array}{llll}
2.14 & 1.93 & 2.16 & 2.19 \\
1.99 & 2.36 & 2.25 & 2.02 \\
2.48 & 2.31 & 2.04 & 2.15 \\
2.33 & 2.55 & 2.22 & 2.24 \\
2.18 & 2.19 & 2.38 & 2.33
\end{array}$$
(a) Calculate the mean gas price.
(b) Calculate the median gas price.
(c) Should you use the mean or median to describe the typical gas price?

Trent Speier

Numerade Educator

01:04

Problem 64

WELDING Throughout the day, welds are randomly chosen and tested for strength. The results are shown in the following table. [Tensile strength can be expressed in pounds per square inch (lb/in.').]
$$\begin{array}{llll}
2,314 & 2,318 & 2,307 & 2,291 \\
2,289 & 2,301 & 2,320 & 2,318 \\
2,322 & 2,297 & 2,314 & 2,296 \\
2,309 & 2,311 & 2,304 & 2,321
\end{array}$$
(a) Calculate the mean tensile strength.
(b) Calculate the median tensile strength.
(c) Should you use the mean or median to describe the typical strength of a weld in this data set?

Marc Lauzon

Numerade Educator

04:46

Problem 65

Business AND FiNANCE Fred kept the following records of his utility bills for
12 months: $\$ 53, \$ 51, \$ 43, \$ 37, \$ 32, \$ 29, \$ 34, \$ 41, \$ 58, \$ 55, \$ 49,$ and $\$ 58$
(a) Find the mean of Fred's monthly utility bills.
(b) Find the median of Fred's monthly utility bills.
(c) Is the mean or median a more useful representative of Fred's monthly utility bills? Write a brief paragraph justifying your response.

Emily Burns

Numerade Educator

00:55

Problem 66

BUSINESS AND FINANCE These scores were recorded on a 200 -point final examination: $193,185,163,186,192,135,158,174,188,172,168,183$
$195,165,183$
(a) Find the mean final examination score.
(b) Find the median final examination score.
(c) Is the mean or median a more useful representative of the final examination scores? Write a brief paragraph justifying your response.

Kimberly Waterbury

Numerade Educator

05:37

Problem 67

List the advantages and disadvantages of the mean, median, and mode.

Claire Rochford

Numerade Educator

03:33

Problem 68

In a certain math class, you take four tests and the final, which counts as two tests. Your grade is the average of the six tests. At the end of the course, you compute both the mean and the median.
(a) You want to convince the teacher to use the mean to compute your average. Write a note to your teacher explaining why this is a better choice. Choose numbers that make a convincing argument.
(b) You want to convince the teacher to use the median to compute your average. Write a note to your teacher explaining why this is a better choice. Choose numbers that make a convincing argument.

Michael Jacobsen

Numerade Educator

01:02

Problem 69

Create a set of five numbers such that the mean is equal to the median.

Zach Steedman

Numerade Educator

01:02

Problem 70

Create a set of five numbers such that the mean is greater than the median.

Zach Steedman

Numerade Educator

02:08

Problem 71

Create a set of five numbers such that the mean is less than the median.

Nick Johnson

Numerade Educator

00:37

Problem 72

Write a paragraph describing the conditions necessary for the mean of a data set to be greater than the median, less than the median, and equal to the median. How do you think the mode would compare to the mean and median in each of these situations?

Amrita Bhasin

Numerade Educator

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