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Important Formula: Averages | Additional Study Material for CAT PDF Download


  • Simple Average = Important Formula: Averages | Additional Study Material for CAT
  • Weighted Average = Important Formula: Averages | Additional Study Material for CAT
  • Arithmetic Mean = (a1 + a2 + a3 ….an) / n
  • Geometric Mean =Important Formula: Averages | Additional Study Material for CAT
  • Harmonic Mean = Important Formula: Averages | Additional Study Material for CAT

For two numbers a and b

⇒ AM = (a + b)/2

Important Formula: Averages | Additional Study Material for CAT

EduRev's Tip: 

  • AM ≥ GM ≥ HM is always true. They will be equal if all elements are equal to each other. If I have just two values then GM2 = AM x HM
  • The sum of deviation (D) of each element with respect to the average is 0 

    ⇒ D = (x1 - xavg) + (x2 - xavg) + (x3 - xavg) ... + (x1 - xavg) = 0

  • 𝑥avg =  (xassumed avg + (Deviation/No. of elements))

Median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one.
Mode is the value that occurs most often

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FAQs on Important Formula: Averages - Additional Study Material for CAT

1. What is the CAT exam and what does it stand for?
Ans. The CAT exam, or Common Admission Test, is a computer-based test conducted in India for admission to various management programs offered by Indian Institutes of Management (IIMs) and other prestigious business schools. CAT stands for Common Admission Test.
2. How long is the CAT exam?
Ans. The CAT exam is a 3-hour long test consisting of three sections: Verbal Ability and Reading Comprehension (VARC), Data Interpretation and Logical Reasoning (DILR), and Quantitative Ability (QA). Each section is allotted 1 hour.
3. What is the marking scheme for the CAT exam?
Ans. The CAT exam follows a scoring pattern of +3 marks for every correct answer and -1 mark for every incorrect answer. There is no negative marking for unattempted questions. Additionally, there are some non-MCQ (Multiple Choice Questions) with no negative marking.
4. How many times is the CAT exam conducted in a year?
Ans. The CAT exam is conducted once a year, usually in the month of November or December. The exact date of the exam is announced by the conducting authority, which is usually the IIMs.
5. Can I use a calculator during the CAT exam?
Ans. No, the use of calculators or any other electronic devices is strictly prohibited during the CAT exam. Candidates are expected to perform all calculations manually. However, an on-screen calculator is provided within the exam interface for basic calculations.
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