Math Problem Statement

bar graph of this

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:

  1. How do you calculate the cumulative frequency?
  2. What is the significance of the class marks in a frequency distribution?
  3. How do you interpret the percentage frequencies in this table?
  4. Can we use this data to find the mean or median?
  5. 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