discrete variable, types of data2. Which of the following is a continuous quantitative (numerical) variable?. a) The color of a student’s eyes. b) The number of employees of an insurance company. c) The amount of milk in a 2-liter carton.. d) The number of gallons of milk sold at the local grocery store yesterday
The correct answer is (c) The amount of milk in a 2-liter carton
The correct answer is (c) The amount of milk in a 2-liter carton.
A continuous variable is a quantitative variable that can take on any value within a certain range or interval. In this case, the amount of milk in a 2-liter carton can take on any value between 0 liters (empty) and 2 liters (full), and even any value in between (e.g., 0.5 liters, 1.7 liters, etc.). It is not restricted to specific values or a countable number of options.
On the other hand, options (a) and (d) are discrete variables. The color of a student’s eyes is a categorical variable since it falls into specific categories (e.g., blue, brown, green), and the number of gallons of milk sold at the local grocery store yesterday is also a discrete variable since it can only take on specific whole number values.
Option (b) is more likely a discrete variable as well, as the number of employees of an insurance company typically consists of whole numbers and usually doesn’t include decimal values. However, without additional information, it could be argued that it may also be a continuous variable in rare cases where fractional numbers could be used to represent partial or hourly employees.
Therefore, the most appropriate answer is (c) The amount of milk in a 2-liter carton.
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