Question

dominic collected data on the location where students of two grades would most like to visit and displayed it on a table. which term best describes the entry of 24%? chart with rows: aspen, colorado; new york, new york; chicago, illinois; total. columns: under age 15, age 15 and above, total. data: aspen: under 15 21%, age 15+ 17%, total 38%. new york: under 15 16%, age 15+ 24%, total 40%. chicago: under 15 12%, age 15+ 10%, total 22%. total: under 15 49%, age 15+ 51%, total 100%. options: marginal relative frequency, marginal frequency, joint relative frequency, joint frequency

Explanation:

Step1: Recall frequency terms

• Marginal relative frequency: Ratio of row/column total to grand total.
• Joint relative frequency: Ratio of a cell's value to grand total (100% here).
• Marginal frequency: Row/column total (count, not percentage).
• Joint frequency: Cell value (count, not percentage).

Step2: Analyze 24%

The 24% is in the "Age 15 and above" row and "New York, New York" column. It's the ratio of students (age 15+, NY) to total students (100%). This matches the definition of a joint relative frequency (describes a specific cell's proportion of the total).

Step3: Eliminate other terms

• Marginal relative frequency: Would be a row/column total percentage (e.g., 40% for NY total, 51% for Age 15+ total), not a cell value.
• Marginal frequency/Joint frequency: These are counts (not percentages, since total is 100% as a proportion here).

Answer:

Joint relative frequency