Important Formula: Radar Charts | Quantitative Aptitude for SSC CGL PDF Download

Definition

A Radar chart, alternatively referred to as a spider chart, web chart, spider graph, star chart, spider web chart, cobweb chart, and other names, is a graphical technique for illustrating multivariate data. It involves creating a chart with axes originating from a single point to represent three or more variables.

Formulas For Radar Charts

The radar chart is composed of evenly spaced spokes, referred to as radii, where each spoke corresponds to a variable. The chart originates from a central point with a zero starting point, and each axis extends outward like spokes. Each subject can have its own axis, and multiple subjects can be represented in this manner.

Elements of Radar Chart 

• Center Point: The central point serves as the core of the radar chart, from which axes extend outward for various subjects.
• Axis: Each axis is employed to depict a distinct variable or subject, with the possibility of having three or more axes.
• Values: On each axis, values are displayed, differentiated by different colors.
• Grids: When values for a specific case are interconnected across all axes, they create a web-like structure that aids in visualizing and representing information.

Note: Radar charts are used in many fields involving education, business etc. Go through the page to learn important Formulas For Radar Charts.

Steps to create a Radar Chart

• Meaningful Order of Variables: Arrange variables in a meaningful sequence for clarity.
• Separate Radar Charts for More than Three Series: Each set of more than three series should have its own radar chart.
• Avoid Excessive Variables: Refrain from incorporating too many variables to prevent confusion in the chart.
• Transparent Filled-In Color for Multiple Data Series: If there are multiple data series, use a transparent filled-in color to enhance visibility and distinction.

Examples

Example 1: Radar chart given below Represents sales of printers and laptops of a company from year ( 2011 to 2016)

What is the proportion of total number of printers sold to the total number of laptops sold in all the years?
(a) 104 : 118
(b) 91 : 106
(c)  3 : 7
(d) None of the above
Ans: (b)
Total number of printers sold from 2011 to 2016 = 30 + 25 + 37 + 40 + 30 + 20 = 182
Total number of Laptop sold from 2011 to 2016 = 35 + 33 + 33 + 35 + 36 + 40 = 212
Therefore, ratio = 182/212 = 91 : 106

Example 2: Radar chart given below Represents sales of printers and laptops of a company from year ( 2011 to 2016)
In which year there was maximum percentage upsurge in the sales for printers?
(a) 2014
(b) 2012
(c) 2013
(d) 2016
Ans: (c)
For printers the sale in 2011 was 30 and in 2012 was 25. Therefore, the sale decreased. In 2012 was 25 and 2013 was 37. Therefore, there was increase by 12 thousand. Percent increase = 12/25 * 100 = 48%. In 2013 was 37 and 2014 was 40. Therefore, there was an increase by 3 thousand. Percent increase = 3/37 * 100 = 8.10%. In 2014 was 40 and 2015 was 30. So, the sale decreased. In 2015 was 30 and 2016 was 20. Therefore, the sale decreased.
Thus, highest increase in the sale was in year 2013.

Example 3: Radar chart given below Represents sales of printers and laptops of a company from year ( 2011 to 2016)

In which year there was maximum percentage increase in the sales for laptops?
(a) 2016
(b) 2012
(c) 2011
(d) 2015
Ans: (a)
For laptop the sale in 2011 was 35 and in 2012 was 33. Therefore, the sale decreased. In 2012 was 33 and 2013 was also 33. Therefore, there was no change in the sale. In 2013 was 33 and 2014 was 35. Therefore, there was an increase by 2 thousand. Percent increase = 2/33 * 100 = 6.06%. In 2014 was 35 and 2015 was 36. So, there was increase of 1 thousand. Percent increase = 1/35 * 100 = 2.85%. In 2015 was 36 and 2016 was 40. Therefore, there was an increase of 4 thousand. Percent increase = 4/36 * 100 = 11.11%.
Thus, highest increase in the sale was in year 2016.

Example 4: Radar chart given below Represents sales of printers and laptops of a company from year ( 2011 to 2016)

In how many years the sale of printers is less than the sale of Laptops in the given years?
(a) Four
(b) Six
(c) Five
(d) Three
Ans: (a)
From the chart above it is clear that in 2011 the sale of printers was less than sale of laptops. Similarly, in 2012, 2015, and 2016 the sale of printers was less as compared to the sale of  laptops. Therefore, in four years the sale was less.