Representing Data Graphically

A chart is a graphical representation for data visualization, in which “the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart”. A data chart is a type of diagram or graph, that organizes and represents a set of numerical or qualitative data.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

1. Create a frequency table, bar graph, pareto chart, pictogram, or a pie chart to represent a data set.
2. Identify features of ineffective representations of data.
3. Create a histogram, pie chart, or frequency polygon that represents numerical data.
4. Create a graph that compares two quantities.

Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.

Choosing a graphing style by data type When comparing values, use column, bar, line and scatter-plot charts. When showing the distribution of data, use scatter-plot, line, column and bar charts. When analyzing trends in data, use line and column charts.

Drawing Undirected Graphs. Mainly, two kinds of methods are employed to draw undirected graphs by us. Force-directed methods define a force model (or an energy function) similar to the system of springs or celestial bodies, and acquire the nice layout by minimizing the function gradually.

In many applications, each edge of a graph has an associated numerical value, called a weight. Usually, the edge weights are non- negative integers. Weighted graphs may be either directed or undirected.

Adam is standing at point in an infinite 2D grid. It is given that he can move to any point on this 2D grid, i.e., the points having positive or negative (or ) co-ordinates. Tell Adam whether he can reach or not.

There are ℶ1 such c, therefore there are exactly ℶ1 many paths.

A path is a route between any two vertices. If a graph has two nodes A and B, there are two paths with one vertex, A and B, and two paths AB and BA with two vertices. If a graph has three vertices A, B and C, there are three paths with one node, A, B and C.