Two-Way Tables
Relative Frequencies and Association
Measures of Center
Box Plots
100
A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
Which shows the correct values for the variables in the table?
A. a = 18, b = 34, c = 65
B. a = 34, b = 18, c = 68
C. a = 34, b = 68, c = 47
D. a = 47, b = 18, c = 68
B. a = 34, b = 18, c = 68
100
The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.
Marcel converts the frequency table to a conditional relative frequency table by row.
Which value should he use for Y? Round to the nearest hundredth.
A. 0.19
B. 0.45
C. 0.82
D. 0.90
D. 0.90
100
Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
Which statement is true about the number of books packed to a box?
A. The median number of books to a box is 8.
B. The median number of books to a box is 9.
C. The mean number of books to a box is 11.
D. The mean number of books to a box is 12.
C. The mean number of books to a box is 11.
100
Which data set has an outlier? (Use equation to determine outliers)
A. 6,13,13,15,15,18,18,22
B. 4,4,4,8,9,9,11,18
C. 2,3,5,7,8,8,9,10,12,17
D. 3,6,7,7,8,8,9,9,9,10
D. 3,6,7,7,8,8,9,9,9,10
200
Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.
What are the correct values of a, b, c, d, and e?
A. a = 42, b = 28, c = 33, d = 5, e = 10
B. a = 42, b = 5, c = 28, d = 33, e = 10
C. a = 5, b = 42, c = 28, d = 10, e = 33
D. a = 5, b = 10, c = 28, d = 33, e = 42
B. a = 42, b = 5, c = 28, d = 33, e = 10
200
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.
Table B: Frequency of Foreign-Language Studies by Row
Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
A. Table A, because the given condition is that the student is in high school.
B. Table A, because the given condition is that the student is taking a foreign language.
C. Table B, because the given condition is that the student is in high school.
D. Table B, because the given condition is that the student is taking a foreign language.
B. Table A, because the given condition is that the student is taking a foreign language.
200
The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.
Which dot plot could represent the same data as the frequency table?
A.
B.
C.
D.
A.
200
Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.
Which statement is true about the box plots?
A. The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B. The data for suitcase 2 have a greater median than the data for suitcase 1.
C. The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D. The data for suitcase 2 has a greater range than the data for suitcase 1.
A. The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
300
The two-way frequency table represents data from a survey asking mall visitors whether they like seafood, meat, or both.
Which is the joint relative frequency for mall visitors who like seafood and meat?
A.
B.
C.
D.
B.
300
The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.
Which would most likely indicate an association between the categorical variables?
A. The value of A is similar to the value of B.
B. The value of A is similar to the value of E.
C. The value of B is not similar to the value of C.
D. The value of B is not similar to the value of F.
C. The value of B is not similar to the value of C.
300
The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.
How does the $100 gift card affect the measure of center of the data?
A. It increases the mean value of the prizes.
B. It decreases the mean value of the prizes.
C. It increases the median value of the prizes.
D. It decreases the median value of the prizes.
A. It increases the mean value of the prizes.
300
The data set represents the number of minutes Dan spent on his homework each night.
30, 35, 35, 45, 46, 46, 52, 55, 57
Which box plot correctly represents the data?
A.
B.
C.
D.
A.
400
A group of campers were polled about whether they like swimming and whether they like playing baseball. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
Which values are correct? Select three options.
A. a = 15
B. b = 18
C. c = 23
D. d = 35
E. e = 31
A. a = 15
B. b = 18
E. e = 31
400
The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.
How many students in the survey said that math was their favorite subject?
A. 42
B. 81
C. 120
D. 123
D. 123
400
If a new data point at 12 is added to the graph, which will be true?
A. The mean will increase, and the median will stay the same.
B. The median will increase, and the mean will stay the same.
C. The mean will increase more than the median, but both will increase.
D. The median will increase more than the mean, but both will increase.
C. The mean will increase more than the median, but both will increase.
400
The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.
Which statement is true about the box plots? Select THREE options.
A. Ms. Dobson’s class has a smaller range of scores.
B. The district has a greater interquartile range.
C. Fifteen is an outlier for the district’s scores.
D. One hundred is an outlier for the district’s scores.
E. In general, the district’s scores were better than those of Ms. Dobson’s class.
A. Ms. Dobson’s class has a smaller range of scores.
B. The district has a greater interquartile range.
C. Fifteen is an outlier for the district’s scores.
500
A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.
If the relative frequencies are 0.48 and 0.52, which conclusion is most likely supported by the data?
A. There is likely an association between the categorical variables because the relative frequencies are similar in value.
B. An association cannot be determined between the categorical variables because the relative frequencies are similar in value.
C. An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
D. There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.
B. An association cannot be determined between the categorical variables because the relative frequencies are similar in value.
500
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.
Which histogram represents Blanca’s lap times for the three days of practice?
A.
B.
C.
D.
A.