Which is the best display for the set of the number of daily 911 calls made during a month, if you want to be able to identify the mode?
A. Histogram with intervals of 5
B. Histogram with intervals of 3
C. Line plot +++
D. Line graph
agree
Yes
The best display for the set of the number of daily 911 calls made during a month, if you want to be able to identify the mode is a histogram with intervals of 3.
To identify the mode from a set of data, you can use a histogram or a line plot/graph. The mode is the value that appears most frequently in the data set.
A histogram is a graphical representation of data distribution. It groups the data into intervals or bins and displays the frequency of values falling into each interval. The height of each bar represents the frequency or count of values in that interval.
When choosing a histogram, it is important to select an appropriate interval width. This width should strike a balance between not being too narrow (resulting in many small bars) and not being too wide (resulting in a few large bars).
Option A suggests a histogram with intervals of 5. This means the data will be grouped into bins of width 5. While this can be a reasonable choice, it might not provide a very detailed picture of the data, especially if there is a wide range of values or if there are many distinct values within the dataset.
Option B suggests a histogram with intervals of 3. This narrower interval width will allow for more detailed information and a more accurate representation of the data distribution, potentially making the mode easier to identify.
Option C suggests a line plot, also known as a dot plot, where each data point is plotted as a dot along a number line. This type of display is useful when the dataset has a relatively small number of unique values, as it preserves the individual data points and clearly shows their frequency.
Option D suggests a line graph, which is typically used to show trends or relationships over a period of time. While it can be visually appealing and informative for time-based data, it may not be the best choice for identifying the mode in a single dataset.
Based on the options provided, the most suitable display to identify the mode would be a line plot (option C). It allows for a clear representation of the frequency of each data point, making it easy to identify the mode.