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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
mathsStatistics and ProbabilityStatistics : Analysis of Data

Bar-graphs : Representation and Reading

Reading a bar-graph of given data is explained with some examples.



click on the content to continue..

Consider the graph given in figure.bar-graph of data What is the representation called?

  • the figure does not provide any data
  • the figure is a bar-graph representation of a data
  • the figure is a bar-graph representation of a data

The answer is "the figure is a bar-graph representation of a data"

The data is represented with horizontal or vertical bars. bar-graph of data This representation is spatially laid out for users to easily understand comparative measures like

   which one is the largest
   which one is the smallest
   which ones are comparatively equal.

Consider the data: Number of glasses of water students drink during the school time.table representation Can this data be represented using a bar graph?

  • Yes, the number of students in vertical axis and number of glasses in horizontal axis.
  • Yes, the number of students in vertical axis and number of glasses in horizontal axis.
  • No. The bar graph representation cannot be used for this data.

The answer is "Yes, the number of students in vertical axis and number of glasses in horizontal axis."

Considering the Number of glasses of water students drink during the school time. The bar graph representation is given in the figure.bar graph representation The horizontal axis is the number of glasses and the vertical axis is the number of students. The height of each bar is given for clarity.

A bar of height `11` at position `1` provides information that `11` students had `1` glass of water.

Consider the given bar graph.bar graph representation How many students drank `3` glasses of water?

  • `6`
  • `6`
  • `3`

The answer is "`6`". The height of bar at the position `3` glasses water is `6`.

Consider the given bar graph. This measures the messages sent by a person. The data is number of sentences in a message and the number of messages with the given number of sentencesbar graph representation How many messages were sent with `1` sentence?

  • `2`
  • `2`
  • cannot find this info from the bar graph

The answer is "`2`". The height of bar at the position `1` (number of sentences) is `2` number of messages.

Consider the given bar graph. This represents the messages sent by a person. bar graph representation How many number of sentences were there in message of highest frequency?

  • `2`
  • `2`
  • `4`

The answer is "`2`". The message of highest frequency is represented by the tallest bar. For the tallest bar, the number of sentences is `2` (the value on horizontal axis).

Consider the given bar graph. This measures the messages sent by a person. bar graph representation Which two data-values are equal?

  • messages with `4` and `5` sentences have the same frequency
  • single sentence and `4` sentence messages have the same frequency
  • single sentence and `4` sentence messages have the same frequency

The answer is "single sentence and `4` sentence messages have the same frequency".

Reading a bar graph: With the meaning attributed to horizontal axis and vertical axis, the position and height of each bar is read.bar graph representation The objective is to answer any comparative or quantitative questions about the data using the given bar graph.

                            
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