CCGPS Coordinate Algebra



CCGPS Coordinate Algebra Name____________________________Date________

Quiz Joint, Marginal, Conditional Relative Frequencies

MCC9-12.SID5

1. The frequency table below shows the results of a survey that Carla took. She asked 40 randomly selected people what their favorite food was to eat at a baseball game. For her survey, Carla also recorded the age of each person. The results are shown in the two-way frequency table below. Each entry is the frequency of people who prefer a certain food and are in a certain age group.

| |Hotdogs |Hamburger |Pizza |Total |

|Child |8 |1 |2 | |

|Teenager |5 |3 |5 | |

|Adult |5 |8 |3 | |

|Total | | | | |

a. Fill in the missing marginal frequencies in the table and the grand total.

b. Highlight the joint frequencies.

c. In terms of Carla's survey, what does the grand total represent?

d. What does the data tell us about the preference of food for children at a baseball game?

e. How does this compare to adults?

f. Amongst all age groups what food would you say is most preferred?

| |Hotdogs |Hamburger |Pizza |Total |

|Child |8 |1 |2 | |

|Teenager |5 |3 |5 | |

|Adult |5 |8 |3 | |

|Total | | | | |

Give relative frequencies as percents rounded to the nearest whole number.

2. Find the conditional relative frequency for a child given that they prefer hamburgers.

3. Find the conditional relative frequency for an adult who prefers pizza out of the total number of people.

4. Find the conditional relative frequency that a person will choose a Hotdog at a baseball game.

5. What food is a person most likely to choose at a baseball game?

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