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Ratio and Proportion : formulas, tricks | proportion and ratio examples

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Ratio and Proportion : Ratio: In a cricket match, Sachin scored 160 runs and Rahul scored 80 runs. We can compare their scores in two ways : 1) By Subtraction : Sachin's score - Rahul's score = 160 - 80                                                  = 80 Thus, we see that Sachin has scored 80 runs more than Rahul. 2 ) By division : Let us see how many times Sachin's score is that of Rahul's. To do this, we shall divide Sachin's score by Rahul's. Sachin's score / Rahul's  score = 160 /  80 = 2 / 1. Thus, we see, that Sachin's score is 2 times Rahul's score. Definition of Ratio : "When two quantities are compared by division, then the quotient of that division is called a 'ratio'. The colon ':' is used to express a ratio." The ratio x/y is written as 'x:y' and is read as 'x  is to y'. In the ratio x : y , we call x as the first te...
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Mode in statistics | How to calculate the mode | Mode formula.

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Mode in statistics : Mode definition : For example, some data such as follows : 2, 1, 2, 5, 4, 2, 2, 7, 8, 2. Here, 2 value repeated 5 times that is repeated many times as compared another data. Therefore, 2 is Mode." It is straight forward to calculate mode in case of individual and discrete data.               Mean          Median         Quartile How do you find the mode of  Individual Data ? Que. 1) The following are the marks of 10 students. Calculate the mode. 60, 67, 76, 56, 77, 67, 48, 67, 89, 90. Ans. : Marks            : 48  56  60  67  76  77  89  90 Frequency   :  01  01  01  03  01  01  01  01 Here 67 mark repeated many times that is 3 times. therefore, Mode = 67. Que. 2)  The following are the height in cm of 12 students. Calculate the mode. ...
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lcm and gcd questions and answers with simple tricks.

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GCD ( HCF )and LCM questions and answers : GCD stands for greatest common divisors. Or HCF stands for highest common factor. LCM stand for Lowest Common Multiple. LCM it a small number that can be divided completely by the other given numbers. GCD it is the largest number which can divided the given numbers. GCD is always smaller or equal to a smaller number. LCM is always equal to or larger than a large number. LCM of fraction : LCM = LCM of numerators / GCD of denominators. GCD of fraction : GCD = GCD of numerators / LCM of denominators. LCM of prime numbers is theirs multiplication. GCD of prime numbers is always one. Relation between LCM and GCD in two numbers is : First number × second number = LCM × GCD Lowest Common Multiple ( LCM ) : LCM it a small number that can be divided completely by the other given numbers. Methods of finding LCM : List Method : Question: Find the LCM  1) 5 , 8.           ...
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