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# Line Chart Formulas

**Formulas for ****Line Chart**

Here , In this Page Formulas of Line Chart in Data Interpretation is given along with some questions and answers.

A line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change.

**Formulas for Line Chart**

**Types of Line Chart **

**Data Series:**In a line chart, data is represented as a series of data points, where each data point corresponds to a specific value at a particular point in time or along a continuous scale. These data points are connected by straight lines to form the chart.**X-Axis and Y-Axis:**Line charts have two axes: the horizontal axis, known as the X-axis, and the vertical axis, known as the Y-axis. The X-axis typically represents the independent variable, such as time, while the Y-axis represents the dependent variable, which can be any numerical value.**Data Points:**Each data point on the chart consists of a pair of values: one for the X-coordinate (horizontal position) and one for the Y-coordinate (vertical position). The X-coordinate is used to determine where the data point is plotted along the X-axis, while the Y-coordinate determines its position along the Y-axis.**Line Segments:**The data points on the line chart are connected by line segments. These line segments provide a visual representation of the trend or pattern in the data. A continuous line typically suggests a smooth progression between data points.**Trends and Patterns:**Line charts are particularly useful for visualizing trends in data. An upward-sloping line indicates increasing values over time or along the X-axis, while a downward-sloping line suggests decreasing values. A horizontal line suggests no change, and fluctuations in the line can reveal patterns or cycles in the data.**Title and Labels:**A line chart typically includes a title and labels for both the X-axis and Y-axis to provide context and help the viewer understand the data being displayed.

**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.

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**Question and Answers for Line Chart **

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

### Question 1 :

** 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**

**Answer**Option C

**Solution**

Income of Company B in 1996 = 60 lakh. Income of company A in 1993 = 40 lakh. Required ratio = \frac{60}{40} = 3:2

### Question 2 :

**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**

**Answer**Option C

**Solution**

Income of company B in 1997 = 55 lakh.

% profit = 10%

Expenditure = \frac{60}{1.1} = 54.5 ⇒ amount of profit = 60 – 54.5 = 5.5 lakh

### Question 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**

**Answer**Option C

**Solution**

Required expenditure = \frac{50}{1.25} = 40 lakh

### Question 4 :

**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**

**Answer : 37**

**Solution: **

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

### Question 5 :

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%**

**Answer : 16.66%**

**Solution : **

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%

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## Series

- Line Charts – Questions Formulas | How to Solve Quickly | Tricks & Shortcuts
- Pie Charts – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Bar Charts – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Radar Charts – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

## Series

- Pie Charts –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Bar Charts –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Radar Charts –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts

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