Which is the best display for the list of the number of tornadoes in the United States each year, if you want to be able to identify the mode?
A. histogram with intervals of 5
B. frequency table with intervals of 3
C. line plot
D. line graph
A. Histogram with intervals of 5.
The best display for the list of the number of tornadoes in the United States each year, if you want to be able to identify the mode, would be a frequency table with intervals of 3.
To find the best display for identifying the mode of the number of tornadoes in the United States each year, let's analyze the given options:
A. Histogram with intervals of 5: A histogram is a bar graph that displays the frequencies of different data intervals. In this case, the intervals are set at 5. While a histogram can be useful for visualizing the distribution of data, it may not be the best choice for identifying the mode. The mode is the value that appears most frequently in a dataset, and a histogram with larger intervals might not provide enough detail to accurately identify the mode.
B. Frequency table with intervals of 3: A frequency table organizes data into intervals or groups along with their corresponding frequencies. Setting intervals at 3 allows for a more detailed breakdown of data, which would be beneficial for identifying the mode. By counting the frequencies in each interval and finding the interval with the highest frequency, you can easily determine the mode.
C. Line plot: A line plot, also known as a dot plot, displays data as points on a number line. Each dot represents one piece of data, from which you can determine the frequencies and identify the mode. While a line plot can be a simple and effective way to represent data, it may not provide enough precision or distinguishability to confidently determine the mode.
D. Line graph: A line graph shows the relationship between two variables over a continuous interval, typically using dots connected by lines. While it can be visually appealing and useful for showing trends and patterns, a line graph may not be the best choice for identifying the mode since it focuses on the relationship between variables rather than displaying discrete values.
Based on the options provided, the best display for identifying the mode of the number of tornadoes in the United States each year would be a frequency table with intervals of 3. This would allow you to clearly see the frequencies within each interval and easily determine the mode—the value with the highest frequency.