can positive and negative X axis or positive and negative y axis have different scales? I mean that is it possible for positive and negative sides of a particular axis(X or Y) to have different scales if numbers to be plotted on one side large and small on the opposite side?Should intersection of X and Y axis of such a graph must necessarily begin with a zero?
can you show me how to plot such a graph with an example?
yes, it is possible (but not often done). No, the intersection does not have to be at 0,0
Yes, it is possible for the positive and negative sides of a particular axis (X or Y) to have different scales. This is called a broken or discontinuous axis. It is used when there is a significant difference in the magnitude of the data points on each side of the axis.
To plot such a graph, let's consider an example. We will plot a graph that represents daily temperature changes in a city. The positive side of the Y-axis will represent temperatures above freezing (0°C), while the negative side will represent temperatures below freezing.
Here are the steps to plot this graph:
1. Determine the range of temperatures that need to be displayed. Let's assume the range is -25°C to +25°C.
2. Set up the Y-axis. Start by drawing a horizontal line through the middle of the graph. Label the line as the Y-axis.
3. Divide the Y-axis into two sections, positive and negative. On the positive side, mark the temperatures from 0°C to 25°C, evenly spaced. On the negative side, mark the temperatures from 0°C to -25°C, evenly spaced.
4. Make sure to leave some gap on the Y-axis to indicate the break or discontinuity in the scale.
5. Set up the X-axis. Draw a vertical line through the middle of the graph intersecting the Y-axis. Label the line as the X-axis.
6. You can mark the X-axis with time intervals, such as hourly or daily intervals, depending on the frequency of the temperature measurements.
7. Plot the temperature data points at appropriate positions on the graph, based on the time intervals on the X-axis and the corresponding temperature values on the Y-axis.
8. Connect the data points with a line or use other appropriate methods of representation to visualize the temperature changes over time.
It's important to note that it is not necessary for the intersection of the X and Y axes to begin with zero. The starting point of the intersection depends on the range of the data being plotted and can be adjusted accordingly.
Yes, it is possible for the positive and negative sides of a particular axis (X or Y) to have different scales. This is commonly referred to as a "broken axis" or a "jagged scale."
In such a graph, one side of the axis can have larger numbers plotted, while the other side can have smaller numbers. This can be useful when dealing with data that has a wide range of values or when emphasizing certain parts of the graph.
However, please note that using a broken axis can sometimes be misleading, as it can manipulate the visual representation of the data. It is important to be cautious and clearly indicate any breaks in the axis to ensure accurate interpretation.
To illustrate how to plot a graph with a broken axis, let's consider an example.
Suppose we want to plot the temperature (in degrees Celsius) on the y-axis and time (in hours) on the x-axis. We have temperature values ranging from -20 to 100 degrees Celsius.
To plot this graph with a broken y-axis, we can set the positive side of the y-axis to have a smaller scale, representing temperatures from 0 to 100 degrees Celsius. Meanwhile, the negative side of the y-axis can have a larger scale, representing temperatures from -20 to 0 degrees Celsius.
Here's a step-by-step example showing how to plot this graph:
1. Determine the range of your data. In this case, the temperature ranges from -20 to 100 degrees Celsius.
2. Create your x-axis and y-axis, ensuring they intersect at zero.
3. Divide the y-axis into two segments: positive side and negative side. Assign different scales for each segment. For the positive side, you could use increments of 20 degrees Celsius, starting from 0 to 100. For the negative side, you could use increments of 10 degrees Celsius, starting from -20 to 0.
4. Plot your data points accordingly on the graph, ensuring they correspond to the correct scales on the y-axis.
5. Optional but recommended: Clearly indicate the break in the y-axis using a zigzag line or a symbol.
Remember, it is essential to provide clear labeling and annotation on the graph to ensure accurate interpretation and understanding by the readers.