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Average (Practice Sheet)

  Practice Material :  Q 1. Find the average of all numbers between 5 and 49 which are divisible by 5. 20 25 30 35 Sol : No. divisible by 5 between 5 and 49 = 5, 10, 15, 20, 25, 30, 35, 40, 45         No. of observations  = 9 (ODD)          The Average of Odd no. of Observation in consecutive pattern  = MIDDLE TERM         Average of the No. divisible by 5 between 5 and 49 =  25 2. The sum of four consecutive even numbers is 36 . Find the largest of these numbers. 8 10 12 14 Sol : Let the number numbers be X, X+2 , X+4 , X+6         According to question,         X + X+2 + X+4 + X+6 = 36                               ...
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Base Conversion

Base Conversion 1. Decimal to Other Base System 2. Other Base system to Decimal   Decimal to Other Base System : Step - 1 : Divide the Decimal number (Base 10) to be converted by the values of New Base. Step - 2 : Get the Remainder from the Step 1  and write it aside. Step - 3 : Divide the Quotient of the Step 1 by the New Base again. Step - 4 : Again obtain the Remainder from Step 3 and note it aside. Repeat these steps, and get the Remainders until the Quotient becomes Zero . Step - 5 : Arrange the obtained Remainders in the Reverse Order .  KEY HIGHLIGHTS :  The Remainder that is obtained Last is  MOST SIGNIFICANT DIGIT (M.S.D.) And ,the Remainder that is obtained at the Step 1 is the LEAST SIGNIFICANT DIGIT. (L.S.D.) Example : Convert  34₁₀  into Binary. Sol :  Step  Operation Quotient Remainder Step 1 34 / 2 17 0 Step 2 17 / 2 8 1 Step 3 8 / 2 4 0 Step 4 4 / 2 2 0 Step 5 2 / 2 1 0 Step 6 1 / 2 0 1 On arranging the Remainder...