Which of the following best describes a piece of data that is expressed in numbers $\mathrm{and}$ percentages $\%$ when using a graphing calculator to summarize data?

• A. A numerical summary
• B. A boxplot
• C. A histogram
• D. A scatterplot

Answer: (A)

Verified step by step guidance

1. Step 1: Understand the types of data representations mentioned: a numerical summary, a boxplot, a histogram, and a scatterplot.
2. Step 2: Recall that a numerical summary typically includes key statistics such as mean, median, mode, standard deviation, and percentages, all expressed in numbers.
3. Step 3: Recognize that a boxplot is a graphical representation showing the distribution of data through quartiles and outliers, but it does not directly display percentages or numerical summaries.
4. Step 4: Understand that a histogram is a bar graph representing the frequency distribution of numerical data, showing counts or relative frequencies, but it is primarily visual rather than a direct numerical summary.
5. Step 5: Know that a scatterplot displays the relationship between two numerical variables as points on a coordinate plane, not as numerical summaries or percentages.