Math Problem Statement
Here is a data set ( ) that has been sorted.
24.5 24.7 25.6 26.1 26.9 27.1 27.1 27.4 27.7 28 28.5 28.6 29.7 31.4 31.5 32.2 32.9 33.3 33.5 33.5 33.6 33.8 33.8 34.1 35.3 35.5 35.5 35.8 35.9 36.4 36.4 36.4 36.6 36.6 36.7 37.1 37.2 37.5 37.7 38.1 38.2 38.8 38.9 38.9 38.9 38.9 39 39.1 39.2 39.4 39.5 39.6 39.8 40 40.2 40.2 40.5 40.6 40.6 40.8 40.8 41.1 41.1 41.5 41.7 41.7 41.8 41.8 42.2 42.2 42.4 42.5 42.5 42.5 42.8 42.8 43.5 44.3 44.7 44.7 44.9 45 45 45.3 45.3 45.4 46 46 46.4 46.6 46.7 48 48.4 48.5 48.7 48.9 48.9 49.5 49.8 50.4 50.4 51.8 51.8 52.2 52.7 52.8 53.9 56.8 58.6
5 10 15 20 25 length (cm) 20 25 30 35 40 45 50 55 60 Frequency [Graphs generated by this script: setBorder(54,40,20,15); initPicture(15.5,60,0,29);axes(117.2,5,1,null,5); fill="blue"; stroke="black"; textabs([165,0],"length (cm)","above");line([20,-0.58],[20,0.58]); text([20,0],"20","below");line([25,-0.58],[25,0.58]); text([25,0],"25","below");line([30,-0.58],[30,0.58]); text([30,0],"30","below");line([35,-0.58],[35,0.58]); text([35,0],"35","below");line([40,-0.58],[40,0.58]); text([40,0],"40","below");line([45,-0.58],[45,0.58]); text([45,0],"45","below");line([50,-0.58],[50,0.58]); text([50,0],"50","below");line([55,-0.58],[55,0.58]); text([55,0],"55","below");line([60,-0.58],[60,0.58]); text([60,0],"60","below");textabs([0,115],"Frequency","right",90);rect([20,0],[25,2]);rect([25,0],[30,11]);rect([30,0],[35,11]);rect([35,0],[40,29]);rect([40,0],[45,28]);rect([45,0],[50,18]);rect([50,0],[55,8]);rect([55,0],[60,2]);]
Use the locator, give the value for the 50-Percentile: P50 =
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Percentiles
Data Analysis
Formulas
P50 position = (n + 1) / 2
P50 = (value at 51st position + value at 52nd position) / 2
Theorems
Percentile Calculation
Median as 50th Percentile
Suitable Grade Level
Grades 9-12
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