2. Describing Data with Tables and Graphs
Frequency Distributions
1:14 minutesProblem 2.1.26a
Textbook Question
use the ogive to approximate
the number in the sample.
Verified step by step guidance1
Step 1: Understand the ogive graph. An ogive is a cumulative frequency graph that shows the total number of observations below a certain value. In this case, the graph represents the cumulative frequency of adult males' heights in inches.
Step 2: Identify the highest cumulative frequency on the graph. The highest point on the ogive corresponds to the total number of observations in the sample. In this graph, the cumulative frequency reaches 80 at the height of 76 inches.
Step 3: Approximate the total sample size. Since the cumulative frequency at the highest point represents the total number of individuals in the sample, the total sample size is approximately 80.
Step 4: Verify the interpretation. Ensure that the cumulative frequency values increase consistently and that the graph ends at the total sample size. This confirms the ogive is correctly interpreted.
Step 5: Use the ogive for further analysis. You can use the graph to determine the number of individuals below specific height thresholds or calculate proportions within certain ranges.
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