Relative Frequencies and Association Assignment and Quiz 100%

Which value for x completes the conditional relative frequency table by column? 0.17 0.25 0.40 0.85

0.85

Look at the table on texts assigned to students. Which value for a completes the conditional relative frequency table by row? 0.01 0.02 0.1 0.2

0.1

The conditional relative frequency table was generated using data that compared a student's grade level and whether or not they are involved in after-school activities. Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0.43 0.45 0.55 0.57

0.57

The frequency table represents the job status of a number of high school students. Which shows the conditional relative frequency table by column?

NOT: b

One hundred thirty people were asked to determine how many cups of fruit and water they consumed per day. The results are shown in the frequency table. A 4-column table with 3 rows. The first column has no label with entries less than or equal to 4 cups of water, greater than 4 cups of water, total. The second column is labeled less than or equal to 2 cups of fruit with entries 62, 18, 80. The third column is labeled greater than 2 cups of fruit with entries 20, 30 , 50. The fourth column is labeled total with entries 82, 48, 130. Identify the conditional relative frequency by row. Round to the nearest percent. The conditional relative frequency that someone ate more than 2 cups of fruit, given the person drank less than or equal to 4 cups of water is approximately ______. The conditional relative frequency that someone ate less than or equal to 2 cups of fruit, given the person drank more than 4 cups of water is approximately _______.

24% 38%

The conditional relative frequency table was generated using data that compares the number of boys and girls who pack their lunch or buy lunch from the cafeteria. 35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number. ______ students

36

The table below shows the conditional relative frequencies of a set of data comparing gender and whether an academic scholarship was earned. Which conclusion can be drawn from the table? An association cannot be determined because 0.47 is close to 0.52. There is an association between gender and scholarship earned because each row adds to 1. An association cannot be determined because 0.47 is close to 0.53. There is an association between gender and scholarship earned because each column total is the average of the values in the column.

An association cannot be determined because 0.47 is close to 0.52.

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah's conclusion correct? Explain.

No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

The conditional relative frequency table below was generated by column from a frequency table comparing the gender of a student to what the student chose to wear on a specific day. Which would most likely indicate an association between the categorical variables? The value of G is similar to the value of H. The value of B is similar to the value of E. The value of G is not similar to the value of H. The value of B is not similar to the value of E.

The value of G is not similar to the value of H.

A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. The counselor converts the frequency table to a conditional relative frequency table by column. What is the value of X? 0.16 0.20 0.24 0.40

0.24

The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day. Fifty people who voted and 85 people who did not vote were chosen at random and surveyed. How many people in the survey worked on election day? 32 34 66 69

66

A census was conducted that determined the land area and populations of towns in a certain region. The frequency table displays some of the results. Rounded to the nearest hundredth, what values complete the conditional relative frequency table? a = b =

a = 0.58 b = 0.42

Using the data below, Eve created a conditional relative frequency table by column and Bob created a conditional relative frequency table by row. Which statements are true? Check all that apply. Based on both tables, there is no association between gender and enjoying dancing. Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The two tables will be identical since boys and girls have the same total number. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.

Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. The dealer used the data from the frequency table to create this conditional relative frequency table by column. Which is the best description of the 0.1 in the table? Given that a car is a coupe, there is a 10% chance it is from the previous model year. Given that a car is from the previous model year, there is a 10% chance that it is a coupe. There is a 10% chance that the car is from the previous model year. There is a 10% chance that the car is a coupe.

Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recorded in the table below. Given the conditional relative frequency table by column, what does the 0.14 represent? Given that a student is a 10th grader, there is a 14% chance he or she has a job. Given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.

Given that a student is a 10th grader, there is a 14% chance he or she has a job.

The conditional relative frequency table was calculated by row using data from a survey of one station's television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. Which is the best description of the value 0.375 in the table? Given that the program was targeted at adults, there is a 37.5% chance that it was recorded. Given that the program was recorded, there is a 37.5% chance that it was targeted at adults. 37.5% of the programs are targeted at adults. 37.5% of the programs are recorded.

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

A conditional relative frequency table is generated by column from a set of data. The conditional relative frequencies of the two categorical variables are then compared. If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? An association cannot be determined between the categorical variables because the relative frequencies are not similar in value. There is likely an association between the categorical variables because the relative frequencies are not similar in value. An association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. There is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.

There is likely an association between the categorical variables because the relative frequencies are not similar in value.

Determine the values of the letters to complete the conditional relative frequency table by column. a = b =

a = 0.1 b = 0.85

The frequency table represents data gathered about how much time some farmers spend tending to their land each week. Complete the conditional relative frequency table by row by identifying the values for each letter. a = b = c = d =

a = 0.6 b = 0.4 c = 0.2 d = 0.8