Careers360 Logo
CAT Tips for Non-Engineers: Strategies to Crack CAT 2024 Without Mathematics in Class 12

CAT Introduction to Line Graphs - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:47 PM | #CAT

Quick Facts

  • 14 Questions around this concept.

Solve by difficulty

Directions for question :

The graph below shows the varying rate of flow of water (litres/min) through a pipe used to fill a reservoir :

Whenever the rate of flow of water changed it did so at a uniform rate, as is apparent from the graph. The reservoir was completely filled up from being empty in the above eight hours.

Question :

What volume of water (in litres) was filled in the last thirty minutes ?  

Directions for question :

The following Line Graph depicts the Mark-up percentage and the Discount percentage of six types of hand-woven Murshidabad-silk sarees A to F at a Tantuja Store in Kolkata, the West Bengal government handloom and silk saree shop.

Question:

The ratio of the selling price of Murshidabad-silk saree types C and D is 3 : 4.

Quantity A : The percentage by which the cost price of saree type D is more than the cost price of saree type C.

Quantity B : 30%

 


 

Concepts Covered - 1

Introduction to Line Graphs
  • Line graphs, also known as line charts, are a visual representation of data that show trends and changes over a continuous period.
  • They are especially useful for displaying data that varies continuously, such as temperature, stock prices, or population growth.
  • Line graphs use data points connected by lines to illustrate how values change over time or across a continuous variable.

Key Components of Line Graphs:

  • Data Points (Markers):
    • Each data point on a line graph represents a specific value at a particular point in time or along a continuous scale.
    • Data points are marked on the graph to visualize the values accurately.
  • Lines:
    • Lines connect the data points, forming a continuous curve or line that represents the changes in data over the given period.
    • The shape of the line provides insights into the overall trend.
  • Axes:
    • Line graphs have two axes: the horizontal (x) axis and the vertical (y) axis.
    • The x-axis typically represents time, months, or a continuous variable.
    • The y-axis displays the corresponding values or measurements.

Interpreting Line Graphs:

  • Line graphs are ideal for comparing changes in data across the same period for different groups or variables.
  • They help us visualize trends, patterns, and variations in data over time.

Example: Temperature Over a Year

Interpretation:

  • The x-axis represents the months of the year from January (Jan) to December (Dec).
  • The y-axis represents the average monthly temperature in degrees Celsius (°C).
  • The line connects data points to show the trend in temperature over the year.

Key Observations:

  • Temperature Variation: The temperature starts low in January and gradually increases, peaking in July.
  • Seasonal Patterns: From July onwards, the temperature decreases, reaching its lowest point in December.
  • Cyclic Trend: The line graph reveals a cyclic trend of warming and cooling over the course of a year.

Sample Questions:

  • What was the highest temperature recorded during the year?
    • Answer: The highest temperature recorded was around 32°C in July.
  • In which month did the temperature experience the most significant increase?
    • Answer: The temperature experienced the most significant increase from March to July.
  • What is the approximate difference in temperature between September and December?
    • Answer: The approximate difference in temperature between September and December is about 16°C (28°C - 12°C).

Conclusion: Line graphs are powerful tools for visualizing trends and changes over time or along a continuous scale. They facilitate the interpretation of data patterns and variations, making them essential for data analysis and effective communication of information. Mastery of line graph interpretation is valuable for a wide range of fields, from finance to climate science, as it enables informed decision-making based on data trends

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top