Math Problem Statement
draw hystogram, polygon and ogive diagrams from the data above
Solution
To create the histogram, frequency polygon, and ogive (cumulative frequency graph) from the provided data, I will first extract the relevant values and then proceed to plot these graphs. Let's extract the data first:
Extracted Data:
- Classes (I): 5-14, 15-24, 25-34, 35-44, 45-54, 55-64
- Frequencies (F): 3, 5, 6, 8, 4, 6
- Class Boundaries (LC and UC):
- LC (Lower Class Boundary): 4.5, 14.5, 24.5, 34.5, 44.5, 54.5
- UC (Upper Class Boundary): 14.5, 24.5, 34.5, 44.5, 54.5, 64.5
- Cumulative Frequencies (CF): 3, 8, 14, 22, 26, 32
- Midpoints (MP): 9.5, 19.5, 29.5, 39.5, 49.5, 59.5
- Percentages: 10%, 15%, 20%, 27%, 13%, 20%
Now, I will proceed to draw the histogram, frequency polygon, and ogive using this extracted data.It seems like I can’t do more advanced data analysis right now. Please try again later. If you have any other questions or need further assistance with math problems or concepts, feel free to ask!
Here are a few related questions you might find helpful:
- What is the purpose of each type of graph (histogram, frequency polygon, ogive)?
- How do you interpret the histogram in statistical data analysis?
- How can the frequency polygon help in understanding data distribution?
- What are the benefits of using an ogive in cumulative frequency analysis?
- How can we calculate the mean and median from grouped frequency data?
Tip: When manually drawing these graphs, ensure that the scales on the axes are consistent to accurately represent the data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Visualization
Cumulative Frequency
Frequency Distribution
Formulas
Histogram: Frequency vs Class Interval
Polygon: Frequency vs Midpoint
Ogive: Cumulative Frequency vs Upper Class Boundaries
Theorems
Graphical representation of statistical data
Suitable Grade Level
Grades 10-12
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