Quiz & Test Review 2.1 Name___________________________________SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.1) Suppose you are comparing frequency data for two different groups, 25 managers and 150

blue collar workers. Why would a relative frequency distribution be better than afrequency distribution?

1)

2) One purpose of displaying data graphically is to provide clues about trends. The givenvalues are weights (ounces) of steaks listed on a restaurant menu as "20 ounce porterhouse"steaks. The weights are supposed to be 21 ounces because they supposedly lose an ouncewhen cooked. Create a frequency distribution with 5 classes. Based on your distribution,comment on the advertised "20 ounce" steaks.17 20 21 18 20 20 20 18 19 19 20 19 21 20 18 20 20 19 18 19

2)

3) A medical research team studied the ages of 34 patients who had strokes caused by stress.The frequency distribution below summarizes the results. When trying to understand thestroke data, what would be the advantage of looking at a histogram instead of thisfrequency distribution?

Age Frequency25-29 330-34 335-39 640-44 445-49 550-54 355-59 560-64 5

3)

4) An airline checked 7 of its flights into a regional airport and found that 1 was early, 3 wereon time, and 3 were late. Why does it not make sense to construct a histogram for this dataset?

4)

5) The following frequency distribution analyzes the scores on a math test. Find the classmidpoint of scores interval 40-59.

Scores Number of students40-59 260-75 476-82 683-94 1595-99 5

5)

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6) The following frequency distribution analyzes the scores on a math test. Find the classmidpoint of scores interval 95-99.

Scores Number of students40-59 260-75 476-82 683-94 1595-99 5

6)

7) The frequency distribution below summarizes employee years of service for AlphaCorporation. Determine the width of each class.

Years of service Frequency1-5 56-10 2011-15 2516-20 1021-25 526-30 3

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8) The frequency distribution below summarizes employee years of service for AlphaCorporation. Find the class midpoint for class 1-5.

Years of service Frequency1-5 56-10 2011-15 2516-20 1021-25 526-30 3

8)

Use the given data to construct a frequency distribution.9) A medical research team studied the ages of patients who had strokes caused by stress. The

ages of 34 patients who suffered stress strokes were as follows.29 30 36 41 45 50 57 61 28 50 36 5860 38 36 47 40 32 58 46 61 40 55 3261 56 45 46 62 36 38 40 50 27

Construct a frequency distribution for these ages. Use 8 classes. Age Frequency

9)

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10) Kevin asked some of his friends how many hours they had worked during the previousweek at their after-school jobs. The results are shown below.

6 5 6 3 6 6 9 8 6 3 8 55 8 6 5 8 6 5 8 5 8 8 3

Construct a frequency distribution. Use 4 classes,Hours Frequency

10)

11) Lori asked 24 students how many hours they had spent doing homework during theprevious week. The results are shown below.

10 11 10 8 10 10 14 13 10 9 13 1111 13 10 11 13 10 11 13 11 13 13 8

Construct a frequency distribution. Use 4 classes Hours Frequency

11)

12) On a math test, the scores of 24 students were99 78 79 67 79 79 99 89 79 68 88 7878 88 79 78 88 79 78 89 78 88 89 67

Construct a frequency distribution. Use 4 classes. Score Frequency

12)

13) The following figures represent Jennifer's monthly charges for long distance telephonecalls for the past twelve months.

9.46 12.17 15.73 16.12

10.90 17.03 9.04 14.76

13.94 14.31 15.53 11.47Construct a frequency distribution with 4 classes.

Charges Frequency

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Provide an appropriate response.14) Consider the frequency distribution below, which has single values as classes:

Value Frequency101112131415161718192021

137

1810427

161062

Describe the distribution of the data. Use this frequency distribution to create two newfrequency distributions for the data, one with four classes of equal width and one with sixclasses of equal width. Does the frequency distribution with four classes capture thedistribution of the data? Does the frequency distribution with six classes capture thedistribution of the data? Explain your thinking.

14)

15) The histogram below represents the number of television sets per household for a sample ofU.S. households. How many households are included in the histogram?

15)

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16) The histogram below represents the number of television sets per household for a sample ofU.S. households. What is the class width?

16)

17) The histogram below represents the number of television sets per household for a sample ofU.S. households. What is the maximum number of households having the same number oftelevision sets?

17)

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18) The histogram below represents the number of television sets per household for a sample ofU.S. households. What is the minimum number of households having the same number oftelevision sets?

18)

19) In a survey, 20 people were asked how many magazines they had purchased during theprevious year. The results are shown below. Construct a histogram to represent the data.Use 4 classes.

6 15 3 36 25 18 12 18 5 3024 7 0 22 33 24 19 4 12 9

19)

20) In a survey, 26 voters were asked their ages. The results are shown below. Construct ahistogram to represent the data (with 5 classes).

43 56 28 63 67 66 52 48 37 51 40 60 6266 45 21 35 49 32 53 61 53 69 31 48 59

20)

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21) Suppose that a histogram is constructed for the frequency distribution shown below:

Age Frequency30-39 1140-49 2350-59 1760-69 1270-89 6

The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area ofthe bar for the class 60-69 be twice the area of the bar for the class 70-89? In other words,will areas be proportional to frequencies in this histogram? Explain your thinking.

21)

22) Consider the frequency distribution below, which has single values as classes:

Value Frequency101112131415161718192021

137

1810427

161062

Construct a new frequency distribution for this data with 4 classes. Now, construct anotherfrequency distribution for this data with 6 classes. Suppose that you construct a histogramcorresponding to the original data and histograms corresponding to each of the newfrequency distributions. Describe the shapes of the three histograms. Does the histogramwith six classes capture the distribution of the data? Does the histogram with four classescapture the distribution of the data?

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23) Suppose that you construct a histogram and a relative frequency histogram correspondingto a particular frequency table. In what ways will the two histograms be similar? In whatways will they differ?

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Solve the problem.24) The frequency table below shows the amount of weight loss during the first month of a diet

program for both males and females. Compare the results by constructing two frequencyhistograms, and determine whether there appears to be a significant difference between thetwo genders.

Weight (lb) Frequency (males)5-78-10

11-1314-1617-1920-22

29

181341

Weight (lb) Frequency (females)5-78-10

11-1314-1617-1920-22

43195151

24)

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25) The data shows the roundtrip mileage that 43 randomly selected professors and studentsdrive to school each day. Compare the results by constructing two frequency histograms onthe same axes, and determine whether there appears to be any significant differencebetween the two groups.

Score Frequency10-1415-1920-2425-2930-34

25

13176

Score Frequency10-1415-1920-2425-2930-34

069

217

25)

26) Identify the class width used in the frequency distribution.

Height (in inches) Frequency50 - 52 553 - 55 856 - 58 1259 - 61 1362 - 64 11

26)

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27) Identify the midpoint of the first class.

Height (in inches) Frequency50 - 52 553 - 55 856 - 58 1259 - 61 1362 - 64 11

27)

28) Identify the class width used in the frequency distribution.

Phone Calls (per day) Frequency8 - 11 1812 - 15 2316 - 19 3820 - 23 4724 - 27 32

28)

29) Identify the midpoint of the first class.

Phone Calls (per day) Frequency8 - 11 1812 - 15 2316 - 19 3820 - 23 4724 - 27 32

29)

30) Identify the class width used in the frequency distribution.

Weight (in pounds) Frequency135 - 139 6140 - 144 4145 - 149 11150 - 154 15155 - 160 8

30)

31) Identify the midpoint of the first class.

Weight (in pounds) Frequency135 - 139 6140 - 144 4145 - 149 11150 - 154 15155 - 160 8

31)

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32) Identify the class width used in the frequency distribution.

Miles (per day) Frequency1 - 2 93 - 4 225 - 6 287 - 8 159 - 10 4

32)

33) Identify the midpoint of the first class.

Miles (per day) Frequency1 - 2 93 - 4 225 - 6 287 - 8 159 - 10 4

33)

34) A sample of candies have weights that vary from 2.35 grams to 4.75 grams. Use thisinformation to find the upper and lower limits of the first class if you wish to construct afrequency distribution with 12 classes.

34)

35) The grade point averages for 40 students are listed below. Construct a frequencydistribution, a relative frequency distribution, and a cumulative frequency distributionusing eight classes.

2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.83.1 2.4 2.4 2.3 1.6 1.6 4.0 3.1 3.2 1.82.2 2.2 1.7 0.5 3.6 3.4 1.9 2.0 3.0 1.13.0 4.0 4.0 2.1 1.9 1.1 0.5 3.2 3.0 2.2

35)

36) The heights (in inches) of 30 adult males are listed below. Construct a frequencydistribution, a relative frequency distribution, and a cumulative frequency distributionusing five classes.

70 72 71 70 69 73 69 68 70 7167 71 70 74 69 68 71 71 71 7269 71 68 67 73 74 70 71 69 68

36)

37) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at acheckpoint. The results are listed below. Construct a frequency distribution, a relativefrequency distribution, and a cumulative frequency distribution using six classes.

44 38 41 50 36 36 43 42 49 4835 40 37 41 43 50 45 45 39 3850 41 47 36 35 40 42 43 48 33

37)

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38) Identify the class width used in the frequency distribution.

Miles (per day) Frequency1 - 3 84 - 6 187 - 9 2

10 - 12 1113 - 2 12

38)

39) A city in the Pacific Northwest recorded its highest temperature at 90 degrees Fahrenheitand its lowest temperature at 21 degrees Fahrenheit for a particular year. Use thisinformation to find the upper and lower limits of the first class if you wish to construct afrequency distribution with 10 classes.

39)

40) For the data below, construct a frequency histogram and a relative frequency histogram.

Phone Calls (per day) Frequency8 - 11 1812 - 15 2316 - 19 3820 - 23 4724 - 27 32

40)

41) For the data below, construct a frequency histogram and a relative frequency histogram.

Height (in inches) Frequency50 - 52 553 - 55 856 - 58 1259 - 61 1362 - 64 11

41)

42) For the data below, construct a frequency histogram and a relative frequency histogram.

Weight (in pounds) Frequency135 - 139 6140 - 144 4145 - 149 11150 - 154 15155 - 159 8

42)

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43) For the data below, construct a frequency histogram and a relative frequency histogram.

Miles (per day) Frequency1 - 2 93 - 4 225 - 6 287 - 8 159 - 10 4

43)

44) The grade point averages for 40 students are listed below. Construct a frequency histogramand a relative frequency histogram using eight classes.

2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.83.1 2.4 2.4 2.3 1.6 1.6 4.0 3.1 3.2 1.82.2 2.2 1.7 0.5 3.6 3.4 1.9 2.0 3.0 1.13.0 4.0 4.0 2.1 1.9 1.1 0.5 3.2 3.0 2.2

44)

45) The heights (in inches) of 30 adult males are listed below. Construct a frequency histogramand a relative frequency histogram using five classes.

70 72 71 70 69 73 69 68 70 7167 71 70 74 69 68 71 71 71 7269 71 68 67 73 74 70 71 69 68

45)

46) The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at acheckpoint. The results are listed below. Construct a frequency histogram and a relativefrequency histogram and a using six classes.

44 38 41 50 36 36 43 42 49 4835 40 37 41 43 50 45 45 39 3850 41 47 36 35 40 42 43 48 33

46)

47) Listed below are the ACT scores of 40 randomly selected students at a major university.

18 22 13 15 24 24 20 19 19 1216 25 14 19 21 23 25 18 18 1326 26 25 25 19 17 18 15 13 2119 19 14 24 20 21 23 22 19 17

a) Construct a relative frequency histogram of the data, using eight classes.b) If the university wants to accept the top 90% of the applicants, what should theminimum score be?c) If the university sets the minimum score at 17, what percent of the applicants will beaccepted?

47)

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