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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Representation of data using pie-charts is explained in this page.



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tally table representation Consider the number of pens a student carries in a group of `20` students. The raw data is given as :

   `2`, `1`, `2`, `4`, `2`
   `3`, `2`, `2`, `2`, `3`
   `3`, `2`, `2`, `3`, `2`
   `2`, `2`, `4`, `2`, `2`

The figure provides the tally and tabular representation of the given raw data.

Considering the number of pens a student carries. The figure provides the bar graph.bargraph of the example One wants to know the percent of students bringing `2` pens. Another wants to find if the data value of `3` and `4` are combined, will the result be higher than the data-value of `2`? The bar graph does not help in answering such questions. One would end up using the actual data values.

Considering the number of pens a student carries. The figure provides a form of graph that helps to answer questions that compare a data-value to the whole or combining two or more neighboring data values to compare.pie chart of the example This is called pie-chart.

This represents the following as segments in circle

 •  frequency of `1` is `1`, which is represented as a segment of orange color.

 •  frequency of `2` is `13`, which is represented as a segment of blue color.

 •  frequency of `3` is `4`, which is represented as a segment of purple color.

 •  frequency of `4` is `2`, which is represented as a segment of yellow color.

The total is `1+13+4+2 = 20`.

pie actual figure The word "pie" means: a circular dish, usually cut in angular segments and served.

familiarize with the terminology
pie

Pie Chart : pie chart of the example A representation of data as segments of a circle or a disc.

pie chart of the exampleConsider the data:

 •  frequency of `1` is `1`

 •  frequency of `2` is `13`

 •  frequency of `3` is `4`

 •  frequency of `4` is `2`

The total is `1+13+4+2 = 20`
The circle represents the total `20`. In that case, what is the angle in the segment representing `1`
`= 1 xx 360//20`.

Drawing a pie-chart:pie chart of the example The total is `1+13+4+2 = 20` which represents whole circle with `360^@` angle.

 •  Frequency of `1` is `1`, and that would be represented by a segment with angle `1 xx 360//20 =18^@` angle.

 •  Frequency of `2` is `13`, and that would be represented by a segment with angle `13 xx 360//20 =234^@` angle.

 •  Frequency of `3` is `4`, and that would be represented by a segment with angle `4 xx 360//20 =72^@` angle.

 •  Frequency of `4` is `2`, and that would be represented by a segment with angle `2 xx 360//20 =36^@` angle.

                            
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