Draw a histogram to represent the following data:

| Marks | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
|---|---|---|---|---|---|---|---|
| Frequency | 12 | 32 | 50 | 85 | 45 | 30 | 5 |

The x-axis represents the marks: 10, 20, 30, 40, 50, 60, 70.
The y-axis represents the frequencies: 12, 32, 50, 85, 45, 30, 5.
Each mark has a bar with a height corresponding to its frequency.
The histogram visualizes the distribution of marks and frequencies.

Explanation

Understand the problem and provided data We are given a table of marks and their corresponding frequencies. Our goal is to represent this data using a histogram. A histogram is a graphical representation of data where the data is grouped into continuous number ranges and each range corresponds to a vertical bar. The area of each bar is proportional to the frequency. In this case, the marks are discrete, so we will represent each mark with a separate bar.

Define the axes and bars To create the histogram, we'll use the marks as the x-axis and the frequencies as the y-axis. For each mark, we'll draw a rectangle (bar) whose height corresponds to the frequency of that mark.

Describe the histogram bars Here's how the histogram will look:



Marks (x-axis): 10, 20, 30, 40, 50, 60, 70
Frequencies (y-axis): 12, 32, 50, 85, 45, 30, 5

Each mark will have a bar with the corresponding height. For example:

The bar for mark 10 will have a height of 12.
The bar for mark 20 will have a height of 32.
The bar for mark 30 will have a height of 50.
The bar for mark 40 will have a height of 85.
The bar for mark 50 will have a height of 45.
The bar for mark 60 will have a height of 30.
The bar for mark 70 will have a height of 5.


Label the axes and title The histogram will have the x-axis labeled as 'Marks' and the y-axis labeled as 'Frequency'. The title of the histogram could be 'Histogram of Marks and Frequencies'.

Examples
Histograms are used in many real-world scenarios. For example, a teacher can use a histogram to visualize the distribution of test scores in a class. A business can use a histogram to visualize the distribution of customer ages or incomes. A scientist can use a histogram to visualize the distribution of experimental data.

Answered by GinnyAnswer | 2025-07-03

To create a histogram for the given data, set the x-axis for marks and the y-axis for frequencies. Draw bars for each mark with heights corresponding to their frequencies and label the axes. The resulting histogram will visualize the distribution of marks clearly.
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Answered by Anonymous | 2025-07-04