Math Problem Statement
bar graph of this
Solution
The image contains a frequency distribution table with data on class intervals, frequency, class marks, cumulative frequencies, and percentages. You are asking for a bar graph based on this data.
To create a bar graph from this, I will first extract the necessary information. The bar graph will have:
- Class intervals on the x-axis.
- Frequency on the y-axis.
I will proceed by organizing the data and generating the graph for you. matplotlib.pyplot as plt
Data extraction from the image
class_intervals = ['42-54', '55-67', '68-80', '81-93', '94-100', '107-119', '120-132'] frequencies = [6, 6, 5, 10, 5, 4, 4]
Create a bar graph
plt.figure(figsize=(10, 6)) plt.bar(class_intervals, frequencies, color='skyblue') plt.xlabel('Class Intervals') plt.ylabel('Frequency') plt.title('Bar Graph of Frequency Distribution') plt.xticks(rotation=45) plt.tight_layout()
Show the plot
plt.show()Here is the bar graph based on the frequency distribution you provided. The class intervals are represented on the x-axis, and the corresponding frequencies are shown on the y-axis.
Would you like more details or any further analysis of the data? Here are some related questions:
- How do you calculate the cumulative frequency?
- What is the significance of the class marks in a frequency distribution?
- How do you interpret the percentage frequencies in this table?
- Can we use this data to find the mean or median?
- How would this graph change if the class intervals were different?
Tip: To better understand the shape of the data, you could consider plotting a cumulative frequency curve or an ogive.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Visualization
Frequency Distribution
Formulas
Relative Frequency = Frequency / Total Frequency
Cumulative Frequency = Sum of Previous Frequencies
Bar Graph Representation
Theorems
Concept of Frequency Distribution
Graphical Representation of Data
Suitable Grade Level
Grades 9-12