Bar graphs are used to display data in a similar way to line graphs. However, rather than using a point on a plane to define a value, a bar graph uses a horizontal or vertical rectangular bar that levels off at the appropriate level. There are many characteristics of bar graphs that make them useful. Some of these are that:
A bar graph is a visual display used to compare the amounts or frequency of occurrence of different characteristics of data. This type of display allows us to: Above graph shows the number of questions asked from different math chapters in last few years? Lets discuss all the above questions one by one. From the above graph its can be easily found that the number of algebra questions asked during the given time period are 10, 8, 6, 12, 9. So the maximum number of questions asked in a year is 12 and that was done in year 2005. In year 2003 the number of questions asked from different chapters are 8, 8, 12 and 2. So highest numbers of questions were asked from Number System. Similarly try to answer the other two questions. Analysis of the Bar Graph
Graph Title : The graph title gives an overview of the information being presented in the graph. The title is given at the top of the graph. In the above example Mathematics pattern in CAT is the graph titile. Axes and their labels: Each graph has two axes. The axes labels tell us what information is presented on each axis. One axis represents data groups, the other represents the amounts or frequency of data groups. Grouped Data Axis: The grouped data axis is always at the base of the bars. This axis displays the type of data being graphed. In our example year is represented in X axis and it’s the grouped data axis Frequency Data Axis: The frequency axis has a scale that is a measure of the frequency or amounts of the different data groups. Ex: Number of questions in above graph Bars: The bars are rectangular blocks that can have their base at either vertical axis or horizontal axis (as in this example). Each bar represents the data for one of the data groups. Example 1:
1.What was the total number of engineering students in 1989-90? 2.The growth rate in students of Govt. Engineering colleges compared to that of Private Engineering colleges between 1988-89 and 1889-90 is: 3.The total number of Engineering students in 1991-92, assuming a 10% reduction in thenumber over the previous year, is: 4. In 1990-91, what percent of Engineering students were studying at IITs? Answers: 1. (d) 2. (c) 3. (d) 4. (c) In CAT most of the questions are required to be answered from data given in two different graphs/charts. For example try to answer the question on the basis of the following charts.
Example 2: Q1. What is the approximate simple annual growth rate of Total Assets between 1990 and 1993 ? Q2. In any two consecutive years, the growth rate is lowest for: Q3. The only item which has shown positive growth in every year between 1990 and 1993 is : Q4. Between 1991 and 1992, the highest growth rate is seen for ANSWERS Example 3 : 1. Which year shows the maximum percentage of export with respect to production? 2. The population of India in 1993 was 3. If the area under tea production was less by 10% in 1994 than in 1993, then the approxima te rate of increase in productivity of tea in 1994 was 4. The average proportion of tea exported to the tea produced over the period is 5. What is the first half-decade’s average per capita availability of tea? 6. In which year was the per capita availability of tea minimum? 7. In which year was there minimum percentage of export with respect to production? 8. In which year we had maximum quantity of tea for domestic consumption? 9. What approximately was the average quantity of tea available for domestic consumption during the period? 10. What was approximately the average population during the period? ANSWERS: |
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