a. Based on the given graph, the modal number of pens in the students' bags is 5.
b. Based on the given graph, the modal number of pencils in the students' bags is 9 .
How to determine the modal number from a graph
To determine the modal number from a graph, identify the value or values that appear most frequently or have the highest frequency in the data represented by the graph.
Follow these steps to find the modal number from a graph:
Examine the graph: Look at the graph and understand the data it represents. Identify the type of graph you are working with, such as a bar graph, line graph, or histogram.
Identify the data points: Determine the values or categories represented on the graph. These could be numerical values or categories such as names or labels.
Locate the highest bar or peak: In a bar graph or histogram, look for the bar or bars that are the tallest or have the highest frequency. In a line graph, locate the highest point on the line.
Check for ties: If there is more than one bar with the same highest frequency or multiple points with the same highest value, there may be multiple modal numbers. This is known as a multimodal distribution.
Determine the modal number(s): Once you have identified the highest bar or peak, or in the case of ties, the bars or points with the highest frequency or value, those values represent the modal number(s) in the data.
Based on the given graph, the modal number of pens in the students, bags is 5
Reason: On the x-axis which represents the number of pens, 5 has the highest occurrence as it occurs 4 times.
Based on the given graph, the modal number of pencils in the students, bags is 9
Reason: On the y-axis which represents the number of pencils, 9 has the highest occurrence as it occurs 5 times.