Short Answer
The analysis explains that a dot plot visually represents data points, showing 7 dots for values greater than 2, while a histogram showcases the frequency of these values with a maximum of 7 bars. These findings confirm that the dot plot displays 7 points and the histogram comprises 7 bars representing distinct values.
Step 1: Understanding Dot Plots
A dot plot visually represents data points using dots, where each dot corresponds to a specific data value. For example, if you have data points greater than a certain number, each of those data points will be shown as a dot above that specific value on the number line. In the given scenario, there are 7 distinct data points greater than 2, leading to a dot plot that illustrates 7 dots positioned accordingly.
Step 2: Exploring Histograms
A histogram displays the frequency of data within specified ranges (or ‘bins’) using bars. Each bar’s height indicates how many data points fall within that range. In this case, with 7 different values ranging from 0 to 6, the histogram will consist of 7 bars representing these distinct values, showcasing their frequency in the dataset.
Step 3: Confirming the True Statements
From the explanations above, we can summarize the findings concerning the dot plot and histogram. The two true statements confirmed by the analysis are:
- B. The dot plot would show 7 points for numbers greater than 2.
- D. The histogram would have a maximum of 7 bars for the different data values.