CT 1-5 Review

Front

What is the mean of the following data set: 28, 18, 19, 18, 17?

Back

The mean is calculated by adding all the numbers together and dividing by the count of numbers. Mean = (28 + 18 + 19 + 18 + 17) / 5 = 100 / 5 = 20.

Front

If Ralph buys a computer for $675 and the sales tax rate is 6%, how much does he pay in total?

Back

Total cost = Price + Sales Tax. Sales Tax = 675 * 0.06 = 40.50. Total = 675 + 40.50 = 715.50.

Front

Can a data set have more than one mode?

Back

True. A data set can have multiple modes if there are multiple values that appear with the highest frequency.

Front

Given the function f(x) = -3x + 5, what is f(2)?

Back

f(2) = -3(2) + 5 = -6 + 5 = -1.

Front

Evaluate f(1) for the function f(x) = -3x + 5.

Back

f(1) = -3(1) + 5 = -3 + 5 = 2.

Front

What is the definition of mean in statistics?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of all values by the number of values.

Front

What is sales tax?

Back

Sales tax is a consumption tax imposed by the government on the sale of goods and services, calculated as a percentage of the purchase price.

Front

What does it mean for a data set to have a mode?

Back

The mode is the value that appears most frequently in a data set.

Front

How do you calculate the total cost including sales tax?

Back

Total Cost = Original Price + (Original Price * Sales Tax Rate).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.