Answer:
a. Here is a dot plot for the data:
1: • • • • • • • • • • •
2: • • • • • • • • • •
3: • • • • • • • •
4: • • • • • •
5: • • • • •
6: • • • • • •
b. Here is a bar graph for the data:
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1 2 3 4 5 6
Explanation:
A dot plot is a type of graph that displays data as dots on a number line. Each dot represents a single observation or data point, and dots are stacked vertically above their respective values on the number line. In this case, you would have a number line from 1 to 6 (since the die has six sides) and a dot above each number for every roll of the die. This can give a quick visual representation of the distribution of the data.
A bar graph, on the other hand, uses rectangular bars to represent the values of data. The height of each bar corresponds to the number of data points that fall within a certain range or category. In this case, you would have one bar for each number on the die, and the height of each bar would represent the number of times that number was rolled in the 30 rolls. This can be useful for comparing the frequency of each possible outcome of the roll.