Math is a subject with vast variety to be explored and huge questions to be worked upon. In the very same subject come graphs and charts and their study.
Graphs and Charts are both a part of Statistics. Furthermore, Statistics is a part of each and every field that we know of. Graphs or charts are the visual representations of data formulated by one. There are several types of charts and graphs that you have to work on in Math:
- Bar Graphs: These graphs, as the name suggests, are represented in the form of bars made on the graph. For example, data is provided for the marks scored by a student in different subjects. In such a case representation are made for the same in the form of rectangular bars made on the graph.
- Pie Charts: These charts show you representations in a circular manner, unlike the bar graphs which are rectangular. The circle is divided into various sectors based on the degrees that are calculated using the data and then the graph is made. For example, in the above-mentioned case, the same data is worked upon to calculate the degree for the particular case and it is worked upon then in the form of pie chart.
- Line Graphs: these are the easiest types of graphs that can be worked upon. These are used when you have an interconnected data that can be represented in the form of graphs. For example, they can be used to represent the monthly temperature data.
- Cartesian Graphs: These graphs contain numbers on both the axes which help you depict changes happening in one due to variation in another. This type of graph is mostly used in algebra.
All these graphs are worked upon a graph paper which help in the clear depiction of the concepts of all. Before we understand how we go about making the graphs and charts, let us understand what are the components required to be mentioned while making a graph, so that students can get effective math homework help:
- Axes: Axes are the most important component while we work upon the graphs. Axes are of two types x and y. These axes are drawn perpendicular to each other on the graph. These axes must then be labelled before we complete the graph. Axes provide meaning to the graph we are working upon.
- Just imagine if you have not labelled the axes then you won’t be able to give meaning to your graph. Both these axes start from zero and are then continued forward. Except in the cartesian graph, all other graphs have their starting point at zero.
- Scale: Scale is another important component that must be mentioned before we complete a graph. A scale is the mention of the units you have taken on both the axes. For example: 1cm on the x-axes represents ten students or 10 cm on the y-axes represents one subject. Scale lets the other person know the basic unit of your graph.
So now how do you go about to make the graphs and charts. For this let us take an example: There is a social work group in a city. It comprises of people from different age groups: 2 people from 10 to 20-year category, 5 people from the 20 to 30-year category, 11 people from the 30 to 40-year category, 6 people from the 40 to 50-year category, 8 people from the 50 to 60-year category and 4 people from the 60 to 70-year category. Now this is the basic data for which we will learn the steps to make graphs and charts.
When you are making a bar graph you first have to draw a table for the same data provided above wherein you put the age group in one column and the number of people in the other column.
After doing this you label both these axes on the graph and proceed to plot the graph after mentioning the scale as well. Since the graphs are interconnected in their starting and the end point therefore conjoined bar graphs are drawn for the same. Similarly, as you move to plot line graphs, it is done by marking points which usually have data on points rather than being in range.
To work upon the pie charts, you need to first calculate the degrees each category occupies in the circle. This is done by taking the number in that category divided by the sum of all the observations.
The answer is further multiplied by 360 degrees to get the degree allotted for that category. For example, in the above data, if we have to calculate the degree occupied by the people in the age group of 20 to 30, then we will divide 5 by the total of all the observations, that is, 36 and multiply it by 360 degrees, which leaves the answer to be 50 degree. And this way we will get the degrees for all the age groups.
In case of cartesian graphs, the way is a bit different. A comparison is done between data of both the axes and then co-ordinates are formed in the form of (x, y). These types of graphs are specifically used to work upon complex unknown calculations in Math.
Graphs and statistics are an important aspect which look very easy to do but since basic details have to be taken into consideration, therefore students mostly have to go for math homework help.
They have a wide range of applications in the real world as well in almost every other field we know of. Be it representing data in business presentations, or data for study and research work or in fact while working on the concepts for math assignment help, all these places find a mention of graphs and statistics. Therefore the above points must be remembered by the students if the want effective math assignment help.