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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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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`tally table representation What does the figure depict?

  • the figure does not represent the given raw data
  • the figure provides the tally and table form of the given raw data
  • the figure provides the tally and table form of the given raw data

The answer is "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`.

Which of the following is a meaning for the word "pie"? pie actual figure

  • a circular dish, usually cut in angular segments and served
  • a circular dish, usually cut in angular segments and served
  • `3.1415 xx 2.718`

The answer is "a circular dish, usually cut in angular segments and served".

What is the term used to refer "a circular dish, usually cut in angular segments and served"?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "pie".

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

Consider 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`
pie chart of the example The circle represents the total `20`. In that case, what is the angle in the segment representing `1`?

  • `1 xx 360//20`
  • `1 xx 360//20`
  • angle is approximately chosen, no calculations required

The answer is "`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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