Important Formula: Line Charts

# Important Formula: Line Charts | Quantitative Aptitude for SSC CGL PDF Download

Line graphs depict fluctuations in data through ascending and descending lines. They serve as a tool for comparing various events, situations, and information.

## Formulas for Line Chart

### Types of Line Chart

• Data Series: In a line chart, data is presented as a sequence of data points, with each point corresponding to a specific value at a particular moment in time or along a continuous scale. These points are linked by straight lines to construct the chart.
• X-Axis and Y-Axis: Line charts feature two axes—the horizontal X-axis and the vertical Y-axis. The X-axis commonly signifies the independent variable, like time, while the Y-axis represents the dependent variable, which can take on any numerical value.
• Data Points: Every data point on the chart comprises a pair of values: one for the X-coordinate (horizontal position) and one for the Y-coordinate (vertical position). The X-coordinate determines the point's location along the X-axis, while the Y-coordinate dictates its position along the Y-axis.
• Line Segments: The data points on the line chart are linked by line segments, offering a visual depiction of the data's trend or pattern. A connected line generally implies a smooth transition between data points.
• Trends and Patterns: Line charts are especially effective for illustrating trends in data. An upward-sloping line signifies increasing values over time or along the X-axis, whereas a downward-sloping line indicates decreasing values. A horizontal line signals no change, and variations in the line unveil patterns or cycles in the data.
• Title and Labels: Typically, a line chart includes a title and labels for both the X-axis and Y-axis, providing context and aiding the viewer in comprehending the displayed data.

### How to make Line Chart?

To draw a line chart you must follow these steps:

• Use the data from the data-table to choose a suitable scale.
• Draw and label the scale on the vertical (y-axis) and horizontal (x-axis) axes.
• List each item and place the points on the graph.
• Join the points with line segments.

The above diagram shows the line graph of the average monthly rainfall of two cities (City 1 and City 2).
We can extract information from the above line graph and answer the questions accordingly.

### Examples

Study the following graph carefully and answer the questions given below (Profit is taken as the % of expenditure.)

Example 1: Calculate how much percent income of A was more or less than the income of B in the year 1996?
(a) 12.32%
(b) 13.25%
(c) 14.25%
(d) 16.66%
Ans:
(d)
Income of A in 1996 = 50
Income of B in 1996 = 60
Clearly B has higher income.
Percentage less than B  = (10 / 60) * 100
= 100/ 6 = 16.66%

Example 2: What is the average of the income of A and B together in the years 19921 1993 and 1994?
(a) 35
(b) 36
(c) 37
(d) 48
Ans:
(c)
Income of A = 22 + 40 +38 = 100
Income of B = 40 + 38 + 44 = 122
Average of income of A and B = (100 + 122 ) / 6 = 37

Example 3: If in the year 1995, company ‘B’ had a profit of 25%, what approximately was its expenditure in the year 1995?
(a) Rs. 22 lakhs
(b) Rs. 29 lakhs
(c) Rs. 40 lakhs
(d) Rs. 27 lakhs
Ans:
(c)
For company ‘B’ profit = 25%. Income of company B = 50 lakh in 1995
Required expenditure = 50/1.25 = 40 lakh

Example 4: If the expenditure of company B in 1997 is Rs. 50 lakhs, the percent profit earned by both the companies A and B in 1997 is equal, then what is the amount of profit earned by company A in 1997 (approximately)?
(a) Rs. 5 lakhs
(b) Rs. 4.5 lakhs
(c) Rs. 5.5 lakhs
(d) Rs. 6.2 lakhs
Ans:
(c)
Income of company B in 1997 = 55 lakh.
Expenditure of company B in 1997 = 50 lakh.
% profit = 10%
Expenditure = 60/1.1
= 54.5 ⇒ amount of profit = 60 – 54.5 = 5.5 lakh

Example 5: What would be the ratio of income of company B in 1996 to the income of company A in 1993?
(a) 9 : 10
(b) 10 : 9
(c) 3 : 2
(d) 15 : 13
Ans:
(c)
Income of Company B in 1996 = 60 lakh.
Income of company A in 1993 = 40 lakh.
Required ratio = 60/40 = 3 : 2

The document Important Formula: Line Charts | Quantitative Aptitude for SSC CGL is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
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## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests

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