Deck 2: Measurement in Statistics

Question 1

Identify the following variable as either qualitative or quantitative and explain why.
The color of your house

A)Quantitative because it consists of a measurement
B)Qualitative because it is not a measurement or a count

Answer 1

B

Question 2

State whether the actual data are discrete or continuous and explain why.
The speeds of cars passing a certain intersection on a specified Monday

A)Continuous because the numbers can have any value within some range of values
B)Discrete because only counting numbers are used, and no values between the counting numbers are possible

Answer 2

A

Question 3

Identify the following variable as either qualitative or quantitative and explain why.
A person's political affiliation

A)Qualitative because it is not a measurement or a count
B)Quantitative because it consists of a count

Answer 3

A

Question 4

Identify the following variable as either qualitative or quantitative and explain why.
The number of people on a jury

A)Quantitative because it consists of a count
B)Qualitative because it is not a measurement or a count

Question 5

State whether the actual data are discrete or continuous and explain why.
The number of limbs on each oak tree in a given forest

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 6

Identify the following variable as either qualitative or quantitative and explain why.
A monthly electric bill (in dollars)

A)Quantitative because it consists of a count
B)Qualitative because it is not a measurement or a count

Question 7

State whether the actual data are discrete or continuous and explain why.
The number of phone calls made each day by the sales representative of a company

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 8

Identify the following variable as either qualitative or quantitative and explain why.
Waiting time at a bus stop (in minutes)

A)Quantitative because it consists of a measurement
B)Qualitative because it is not a measurement or a count

Question 9

Identify the following variable as either qualitative or quantitative and explain why.
Outcome of tossing a coin

A)Qualitative because it is not a measurement or a count
B)Quantitative because it consists of a count

Question 10

State whether the actual data are discrete or continuous and explain why.
The count of cars passing a certain intersection for each day of the week

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 11

Identify the following variable as either qualitative or quantitative and explain why.
The verdict of a jury

A)Qualitative because it is not a measurement or a count
B)Quantitative because it consists of a measurement

Question 12

State whether the actual data are discrete or continuous and explain why.
The temperatures in Manhattan at noon for each New Year's Day

A)Continuous because the numbers can have any value within some range of values
B)Discrete because only counting numbers are used, and no values between the counting numbers are possible

Question 13

State whether the actual data are discrete or continuous and explain why.
The number of stories for all the skyscrapers in Manhattan

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 14

State whether the actual data are discrete or continuous and explain why.
The finishing times for athletes running a 100 meter race

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 15

Identify the following variable as either qualitative or quantitative and explain why.
A person's height in feet

A)Quantitative because it consists of a measurement
B)Qualitative because it is not a measurement or a count

Question 16

Identify the following variable as either qualitative or quantitative and explain why.
A person's sex

A)Qualitative because it is not a measurement or a count
B)Quantitative because it consists of a measurement

Question 17

State whether the actual data are discrete or continuous and explain why.
The freshman class sizes at mid western colleges in a given year

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 18

Identify the following variable as either qualitative or quantitative and explain why.
The speed of a car in miles per hour

A)Qualitative because it is not a measurement or a count
B)Quantitative because it consists of a measurement

Question 19

State whether the actual data are discrete or continuous and explain why.
The heights of freshmen at mid western colleges in a given year

A)Continuous because the numbers can have any value within some range of values
B)Discrete because only counting numbers are used, and no values between the counting numbers are possible

Question 20

State whether the actual data are discrete or continuous and explain why.
The height of each oak tree in a given forest

A)Discrete because only counting numbers are used, and no values between the counting numbers are possible
B)Continuous because the numbers can have any value within some range of values

Question 21

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - School lunches cost $1.10 at district grade schools, and they cost $1.75 at district high schools.
2 - Sue Ellen is on an 1100 calorie a day diet, and Samuel is on an 1800 calorie a day diet.

A)School lunches cost $1.10 at district grade schools, and they cost $1.75 at district high schools.
B)Sue Ellen is on an 1100 calorie a day diet, and Samuel is on an 1800 calorie a day diet.
C)Neither
D)Both

Question 22

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
The sample of spheres categorized from softest to hardest

A)Nominal
B)Ratio
C)Interval
D)Ordinal

Question 23

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - At The Gap, Buffy has a credit card balance of $556, and Rosa has a credit line of $111.
2 - Juan saved $435 last month, and Ian saved $321 last month.

A)At The Gap, Buffy has a credit card balance of $556, and Rosa has a credit line of $111.
B)Juan saved $435 last month, and Ian saved $321 last month.
C)Neither
D)Both

Question 24

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - Kesha scored 720 on the verbal SAT, and Salam scored 680.
2 - The lowest temperature in Normal, IL last winter was 12 F, and the lowest temperature in Rockford, IL last
Winter was -8 F.

A)The lowest temperature in Normal, IL last winter was 12 F, and the lowest temperature in Rockford, IL last winter was -8 F.
B)Both
C)Kesha scored 720 on the verbal SAT, and Salam scored 680.
D)Neither

Question 25

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - The average score for the lowest-scoring third grade in the district was the 31 st percentile, and the highest w. 78th percentile.
2 - Pieta's mother goes to work at 9:00 AM, and Emily's mother goes to work at 7:00 AM.

A)Pieta's mother goes to work at 9:00 AM, and Emily's mother goes to work at 7:00 AM.
B)The average score for the lowest-scoring third grade in the district was the 31st percentile, and the highest was the 78th percentile.
C)Neither
D)Both

Question 26

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - The tallest girl on the team is $6 ^ { \prime } 1 ^ { \prime \prime }$ , and the shortest is $5 ^ { \prime } 2 ^ { \prime \prime }$ .
2 - The length of the rectangle is $17.2 \mathrm {~cm}$ , and the width is $8.2 \mathrm {~cm}$ .

A)The tallest girl on the team is 6'1", and the shortest is 5'2".
B)The length of the rectangle is 17.2 cm, and the width is 8.2 cm.
C)Neither
D)Both

Question 27

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Salaries of college professors

A)Nominal
B)Ratio
C)Ordinal
D)Interval

Question 28

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Students' grades, A, B, or C, on a test

A)Nominal
B)Interval
C)Ratio
D)Ordinal

Question 29

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - The lowest IQ score in the class is 112 , and the highest is $141 .$
2 - The oldest teacher at the university is 71 years old, and the youngest is 25 .

A)The lowest IQ score in the class is 112, and the highest is 141.
B)The oldest teacher at the university is 71 years old, and the youngest is 25.
C)Neither
D)Both

Question 30

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - I ate twice as many tacos as you did.
2 - I love tacos twice as much as you do.

A)I ate twice as many tacos as you did.
B)I love tacos twice as much as you do.
C)Neither
D)Both

Question 31

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Ages of survey respondents

A)Interval
B)Ordinal
C)Ratio
D)Nominal

Question 32

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
The temperatures of eight different plastic spheres

A)Nominal
B)Interval
C)Ratio
D)Ordinal

Question 33

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Amount of fat (in grams)in cookies

A)Ordinal
B)Ratio
C)Interval
D)Nominal

Question 34

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
The subjects in which college students major

A)Ratio
B)Nominal
C)Interval
D)Ordinal

Question 35

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
2 - AnnaLisa held her breath for one minute 27 seconds, and Marissa held her breath for one minute 41 seconds.

A)Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
B)AnnaLisa held her breath for one minute 27 seconds, and Marissa held her breath for one minute 41 seconds.
C)Neither
D)Both

Question 36

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.

-Survey responses of"good", "better", "best"

A)Ratio
B)Interval
C)Ordinal
D)Nominal

Question 37

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Temperatures of the ocean at various depths

A)Nominal
B)Interval
C)Ordinal
D)Ratio

Question 38

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
2 - Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.

A)Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.
B)Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
C)Neither
D)Both

Question 39

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate.

-1 - The fertilized grass grew 2.9 inches in a week, and the unfertilized grass grew 1.8 inches in the same week.
2 - The single-stage model rocket went up 287 ft, and the two-stage model rocket went up 412 ft.

A)The fertilized grass grew 2.9 inches in a week, and the unfertilized grass grew 1.8 inches in the same week.
B)The single-stage model rocket went up 287 ft, and the two-stage model rocket went up 412 ft.
C)Neither
D)Both

Question 40

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio)is most appropriate.
Nationalities of survey respondents

A)Nominal
B)Ratio
C)Ordinal
D)Interval

Question 41

Provide an appropriate response.
A person is always late for class. Identify the potential error as random or systematic.

A)Systematic
B)Random

Question 42

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Preference ratings: as in "Rate the item of most importance to you a 5 and that of least importance a 1"

A)Qualitative, ordinal
B)Qualitative, nominal
C)Quantitative, ordinal, discrete
D)Quantitative, ordinal

Question 43

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Order of finish of the NFL teams in the NFC Central division

A)Quantitative, nominal
B)Qualitative, ordinal
C)Quantitative, ordinal
D)Qualitative, nominal

Question 44

Provide an appropriate response.
Totals are determined by rounding to tenths. Identify the potential error as random or systematic.

A)Systematic
B)Random

Question 45

Provide an appropriate response.

-Select the measurement most likely to be subject to random error.
1 - Measuring yards of rope by using ear to extended hand as one yard
2 - Measuring lengths of wood with a worn ruler
3 - Measuring half a cup of flour with a measuring cup marked in quarter cups
4 - Estimating speed by using the car odometer and counting seconds by "one mississippi, two mississippi, ..."

A)Measuring half a cup of flour with a measuring cup marked in quarter cups
B)Estimating speed by using the car odometer and counting seconds by "one mississippi, two mississippi, ..."
C)Measuring lengths of wood with a worn ruler
D)Measuring yards of rope by using ear to extended hand as one yard

Question 46

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Maximum daily temperature on the Kelvin scale

A)Quantitative, ratio, discrete
B)Quantitative, interval, continuous
C)Quantitative, interval, discrete
D)Quantitative, ratio, continuous

Question 47

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Chapter numbers in a textbook

A)Quantitative, interval, discrete
B)Qualitative, ordinal, discrete
C)Quantitative, ordinal, discrete
D)Quantitative, ratio, discrete

Question 48

Provide an appropriate response.
Identify the error made by a "hunt and peck" typist as random or systematic.

A)Random
B)Systematic

Question 49

Provide an appropriate response.
A computer uses voice recognition software. Identify the potential error as random or systematic.

A)Random
B)Systematic

Question 50

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Intramural team classification: Green, Gold, Silver, Red, Blue, Orange

A)Quantitative, ordinal, discrete
B)Quantitative, nominal, discrete
C)Qualitative, nominal
D)Qualitative, nominal, discrete

Question 51

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Automobile battery ratings: "good", "better", "best"

A)Qualitative, ordinal
B)Qualitative, ordinal, discrete
C)Quantitative, ordinal, discrete
D)Qualitative, nominal

Question 52

Provide an appropriate response.
A digital scale reads 0.01 g when it is empty. Identify the potential error in the measurements made on this scale
As random or systematic.

A)Systematic
B)Random

Question 53

Provide an appropriate response.
Identify the potential error in recording arrival times for interstate highway trips as random or systematic.

A)Random
B)Systematic

Question 54

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-The number of inches of rain in a month

A)Qualitative, ratio, continuous
B)Quantitative, interval, continuous
C)Quantitative, ratio, discrete
D)Quantitative, ratio, continuous

Question 55

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-ZIP codes

A)Qualitative, nominal
B)Quantitative, nominal
C)Qualitative, ordinal
D)Quantitative, ordinal, discrete

Question 56

Provide an appropriate response.
A cook estimates thirds of a cup in a measuring cup marked in quarters. Identify the potential measurement
Error as random or systematic.

A)Systematic
B)Random

Question 57

Provide an appropriate response.

-Select the measurement most likely to be subject to random error.
1 - Measuring temperature with a digital thermometer
2 - Measuring temperature with a mercury thermometer
3 - Measuring a distance in yards by pacing
4 - Determining the number of pennies in bags by dividing the weights of the filled bags by the legally defined weight of a penny

A)Determining the number of pennies in bags by dividing the weights of the filled bags by the legally defined weight of a penny
B)Measuring temperature with a mercury thermometer
C)Measuring temperature with a digital thermometer
D)Measuring a distance in yards by pacing

Question 58

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Average daily temperature on the Fahrenheit scale

A)Quantitative, ratio, continuous
B)Quantitative, ratio, discrete
C)Quantitative, interval, discrete
D)Quantitative, interval, continuous

Question 59

Provide an appropriate response.
Identify the potential error in the copy work of a touch typist as random or systematic.

A)Systematic
B)Random

Question 60

Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are quantitative, state whether they are continuous or discrete.

-Soft drink sizes: small, medium, large

A)Quantitative, ordinal, discrete
B)Qualitative, nominal
C)Quantitative, ordinal
D)Qualitative, ordinal

Question 61

Select the most believable statistical conclusion.

A)A total of 37,821 drivers in our city believe that traffic laws are enforced too strictly.
B)About 40% of the voters in Normal, Illinois are Democrat.
C)The poll shows that if the election were held today, the Republican candidate would get 24,675,300 votes.
D)There were 22,543 flying insects at the picnic.

Question 62

Answer the question.
The size of an e-mail file is stated as 210 kB, but the file size is actually 220.5 kB. What is the absolute error?

A)-5%
B)5 kB
C)10%
D)-10.5 kB

Question 63

Answer the question.
A pharmacist puts 32 pills into a prescription order that calls for 30 pills. What is the absolute error?

A)2 pills
B)-6.7%
C)6.7%
D)-2 pills

Question 64

Answer the question.
The Democratic Party estimated that 3960 delegates were at the convention Monday afternoon, but 3600 were
Actually there. What is the relative error?

A)360 delegates
B)10%
C)-360 delegates
D)-10%

Question 65

Provide an appropriate response.

-The approximate value of ? is 3.1415927. Which of the following experimentally determined values is the most
Precise?

A)3.3245
B)3.412114
C)3.14
D)3.247

Question 66

Answer the question.
Rather than use the two scoops of coffee recommended by the manufacturer, a coffee aficionado uses three
Scoops of coffee per pot. What is the absolute error?

A)50%
B)-1 scoop
C)-50%
D)1 scoop

Question 67

Answer the question.

-The results of a poll are stated as follows: "Based on a survey of 156 randomly selected students, 90% of the Student body of 2870 students agree that no student should have to take final exams in two consecutive exam Periods." If 2578 students actually agree, then what is the absolute error in the reported result?

A)5 students
B)2714 students
C)10%
D)0.17%

Question 68

Which of the following statements is correct?

A)An accurate measurement must be precise.
B)"Precise measurement" means the same thing as "accurate measurement".
C)A precise measurement is not necessarily accurate.
D)A precise measurement must be accurate.

Question 69

Compared with a digital scale that gives readings as - - . - - g a scale that gives readings as- - , - - - g is

A)not necessarily more precise or more accurate.
B)more precise and more accurate.
C)more precise, but not necessarily more accurate.
D)more accurate, but not necessarily more precise.

Question 70

Provide an appropriate response.
The value of e, the base of the natural logarithm, is approximately 2.718282. Which of the following
Representations of this value is the most accurate?

A)2.71828
B)2.7
C)2.71
D)2.718

Question 71

Provide an appropriate response.
The value of e, the base of the natural logarithm, is approximately 2.718282. Which of the following
Representations of this value is the most precise?

A)2.7
B)2.71
C)2.71828
D)2.718

Question 72

Provide an appropriate response.
According to a specification, the nominal length of a particular manufactured part is 5.4523 cm. Quality control
Randomly selects four of the parts, and the lengths are measured by four different quality control technicians.
The measurements are 5.3234 cm, 5.11259 cm, 5.351 cm, and 5.45 cm. Which measurement is the most accurate?

A)5.351
B)5.11259
C)5.45
D)5.3234

Question 73

Provide an appropriate response.

-According to a specification, the nominal length of a particular manufactured part is 5.4523 cm. Quality control Randomly selects four of the parts, and the lengths are measured by four different quality control technicians.
The measurements are 5.3234 cm, 5.11259 cm, 5.351 cm, and 5.45 cm. Which measurement is the most precise?

A)5.11259
B)5.45
C)5.3234
D)5.351

Question 74

Answer the question.
A 5.0 lb weight is measured to be 4.5 lb. What is the relative error?

A)0.5 lb
B)-10%
C)-0.5 lb
D)±10%

Question 75

Answer the question.
The pickup time of an answering machine is set at 5 rings, but the machine picks up after 4 rings. What is the
Relative error?

A)-1 ring
B)-25%
C)4 to 6 rings
D)-20%

Question 76

Provide an appropriate response.

-The approximate value of $\pi$ is 3.1415927. Which of the following experimentally determined values is the most
Accurate?

A)3.14
B)3.412114
C)3.247
D)3.3245

Question 77

Answer the question.
The speed of a new microprocessor is given as 800 MHz, but its speed is actually 820 MHz. What is the relative
Error?

A)20 MHz
B)-0.025%
C)0.5 MHz
D)-2.5%

Question 78

Answer the question.

-Rather than use the two scoops of coffee recommended by the manufacturer, a coffee aficionado uses three Scoops of coffee per pot. What is the relative error?

A)1 scoop
B)-1 scoop
C)50%
D)-50%

Question 79

Answer the question.
Ivan counted the change in his pocket: $2.50. Later he found that he actually had $2.75. What was the relative
Error?

A)-9.1%
B)10 cents
C)-$0.25
D)10%

Question 80

Compared with a metric ruler that has centimeter markings as the smallest division, a ruler with millimeter
Markings

A)will guarantee measurements that are more accurate, but not necessarily more precise.
B)will guarantee measurements that are more precise, but not necessarily more accurate.
C)will not guarantee measurements that are more accurate or more precise.
D)will guarantee measurements that are more precise and more accurate.