Question

Tyler's art class is split into groups. His group has to stage a tableau vivant (French for "living picture") as part of a year-end project. Each member of the group suggests a painting to depict: Freedom from Want, A Sunday Afternoon on the Island of La Grande Jatte, The Sculpture Gallery, Alexander and Diogenes, and The Potato Eaters. To choose one of these paintings, they use a number generator to generate numbers from 1 to 5 and assign a number to each painting. First, they run 100 trials to check the validity of their model and record the outcomes shown in the table.

Answer 1

Answer:

D

Step-by-step explanation: Tyler's art class is split into groups. His group has to stage a tableau vivant (French for "living picture") as part of a year-end project. Each member of the group suggests a painting to depict: Freedom from Want, A Sunday Afternoon on the Island of La Grande Jatte, The Sculpture Gallery, Alexander and Diogenes, and The Potato Eaters. To choose one of these paintings, they use a number generator to generate numbers from 1 to 5 and assign a number to each painting. First, they run 100 trials to check the validity of their model and record the outcomes shown in the table.

Painting Number Times Result Occurred

Freedom from Want 1 19

A Sunday Afternoon on the Island of La Grande Jatte 2 21

The Sculpture Gallery 3 20

Alexander and Diogenes 4 19

The Potato Eaters 5 21

Which statement is true based on the results in the table?

A.  

All of the outcomes are equally likely because their relative frequencies are similar.

B.  

All of the outcomes are equally likely because the relative frequencies add up to 100.

C.  

All of the outcomes are not equally likely because there is a variation in their relative frequencies.

D.  

All of the outcomes are not equally likely because the numbers 6 through 10 are not accounted for.

E.  

All of the outcomes are not equally likely because the relative frequency of generating a 1 is less than the relative frequency of generating a 5.