Math Problem Statement

Data was collected for 40 randomly selected trees growing in the median strip of a busy freeway. The height of each tree (in inches) was recorded. Data was recorded to the nearest whole inch. The data is summarized in the histogram below.

246810height (in)101520253035404550Frequency[Graphs generated by this script: setBorder(54,40,20,15); initPicture(5.5,50,0,11);axes(98.8,2,1,null,2); fill="blue"; stroke="black"; textabs([165,0],"height (in)","above");line([10,-0.22],[10,0.22]); text([10,0],"10","below");line([15,-0.22],[15,0.22]); text([15,0],"15","below");line([20,-0.22],[20,0.22]); text([20,0],"20","below");line([25,-0.22],[25,0.22]); text([25,0],"25","below");line([30,-0.22],[30,0.22]); text([30,0],"30","below");line([35,-0.22],[35,0.22]); text([35,0],"35","below");line([40,-0.22],[40,0.22]); text([40,0],"40","below");line([45,-0.22],[45,0.22]); text([45,0],"45","below");line([50,-0.22],[50,0.22]); text([50,0],"50","below");textabs([0,115],"Frequency","right",90);rect([10,0],[15,1]);rect([15,0],[20,5]);rect([20,0],[25,4]);rect([25,0],[30,11]);rect([30,0],[35,7]);rect([35,0],[40,9]);rect([40,0],[45,1]);rect([45,0],[50,2]);]

Based on this histogram, determing the minimum and maximum possible tree heights for the recorded data. Note: Each class contains its lower class boundary, but not its upper class boundary.

Minimum tree height = Correct inches Maximum tree height =  inches

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Histograms

Formulas

Class Boundaries Interpretation in Histograms

Theorems

Class Boundary Theorem

Suitable Grade Level

Grades 9-12