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CBSE Class 10 Answered

The median of the following data is 28. Find the values of x and y, if the total frequency is 50. Marks                   0-7    7-14   14-21   21-28   28-35   35-42   42-49 No os Students     3        X           7         11         Y         16         9   Doubt : Is X = 4  and Y = 0 correct ? 
Asked by Zacharia | 07 Feb, 2018, 07:32: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight N equals Σf equals 46 plus straight X plus straight Y equals 50 rightwards double arrow straight X plus straight Y equals 4 Median equals 28 Hence comma space it space lies space in space class space 28 minus 35. straight l equals 28 comma space straight h equals 7 comma space straight f equals straight Y comma space cf equals 21 plus straight X space and space straight N equals 50 Median equals straight l plus fraction numerator begin display style straight N over 2 end style minus cf over denominator straight f end fraction cross times straight h rightwards double arrow 28 equals 28 plus fraction numerator 25 minus left parenthesis 21 plus straight X right parenthesis over denominator straight Y end fraction rightwards double arrow 0 equals fraction numerator 4 minus straight x over denominator straight Y end fraction rightwards double arrow 4 minus straight X equals 0 rightwards double arrow straight x equals 4 rightwards double arrow straight X plus straight Y equals 4 rightwards double arrow 4 plus straight Y equals 4 rightwards double arrow straight Y equals 0 end style
Answered by Rashmi Khot | 07 Feb, 2018, 09:33: AM

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