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A survey regarding the heights in (cm) of 51 girls of class X of a school was conducted and the following data was obtained. Find the median height and the mean using the formulae. Height (in cm) Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165 Number of Girls 4 11 29 40 46 51 |
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Answer» -step explanation:What would you like to ask?10thMathsStatisticsMedian of Grouped DataA survey REGARDING the HEIG...STATISTICSA survey regarding the height (in cm) of 51 girls of class X of a school was CONDUCTED and the following data was obtained:Height in cm Number of GirlsLess than 140 4Less than 145 11Less than 150 29Less than 155 40Less than 155 46Less than 165 51Find the median height.MEDIUMShareStudy laterANSWERHeight (in cm) f C.F. below 140 4 4 140-145 7 11 145-150 18 29 150-155 11 40 155-160 6 46 160-165 5 51 N=51⇒ 2N = 251 =25.5As 29 is just greater than 25.5, therefore median class is 145-150.Median=l+ f2N +C ×hHere, l= lower limit of median class =145C=C.F. of the class preceding the median class =11h= higher limit - lower limit =150−145=5f= frequency of median class =18∴median=145+ 1825.5−11 ×5=145+4.03=149.03 |
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