Which of the following data sets would most likely be normally distributed. a. Height of flowers
b. Monthly total precipitation for the state of Utah
c. Yearly income for California residents
d. Number of three-pointers scored per player in the NBA
e. none of the above

The correct option is;

c. Yearly income for California residents

Step-by-step explanation:

From the central limit theorem we have that given a certain population that has a mean and a standard deviation, and a sufficiently large sample is collected and replaced, the sample means distribution observed will be normally distributed

Therefore, since the yearly income of California residents is made up of the incomes of individuals working for various establishment which their own wage system which have mean and standard deviations then the yearly income for California residents will also be normally distributed as the central limit theorem states that an event made up of numerous equally likely event it will be normally distributed.