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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.
mathsStatistics and ProbabilityStatistics : Fundamentals of Data

Pictograph representation

With simple examples, the pictograph representation of Data is explained.

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We studied that, data can be represented in tally marks or in tabular form. What is the general use of these representations?

• to understand details like which row is large, which row is empty, etc.
• to understand details like which row is large, which row is empty, etc.
• the representation is not useful

The answer is "to understand details like which row is large, which row is empty, etc."

The data can be given using a friendly and artistic form with pictures. It is widely used in newspapers and other similar publications. It is visually pleasing to the readers. Consider the data

orange 2
apple 2
mango 5
banana 1

The figure depicts a "pictograph" of the data.

Which of the following is a meaning for the word "pictograph"?

• data represented with pictures
• data represented with pictures
• a graph of straight-lines

The answer is "data represented with pictures".

What is the term used to refer "data represented with pictures"?

• Pronunciation : Say the answer once

Earlier, we learned about using tally-marks to represent data. Then, we understood that the tally-marks do not work well for large values in data. This lead to the tabular form of data. Does the pictograph have a similar problem?

• No. Pictograph does not have any problem in representing large values
• Yes. Pictograph in the present form will be very hard to represent large values.
• Yes. Pictograph in the present form will be very hard to represent large values.

The answer is "Yes. Pictograph in the present form will be very hard to represent large values."

Let us consider the data:

Orange : 15
Apple : 10
Mango : 30
Banana : 5

Instead of representing 1 fruit with one picture, we can represent 5 fruits with one picture. A pictograph with scale is given in figure. Representing 5 items with one picture is called "scale". The pictograph uses scale of 1:5 to represent the data.

Let us consider the data:

Orange : 15
Apple : 12
Mango : 28
Banana : 5

A scale of 1:5 is used to represent the pictograph. The number of apples 12 is represented as 5 + 5 + 2, that is two full pictures and one part picture of apple.

Similarly the number of mangoes 28 is represented. If a person is provided with the pictograph only, will she be able to find the data accurately?

• Yes. One can find the exact value of data points.
• No. This form of pictograph is not accurate in reproducing the data.
• No. This form of pictograph is not accurate in reproducing the data.

The answer is "No. This form of pictograph is not accurate in reproducing the data". Users usually get an idea on which is large, which are comparable, and which is small.

Pictograph : A visually pleasing representation of data with pictures is a pictograph.

Scaling in Pictograph : A pictograph with a specified scale that indicates the number for every picture.

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