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[null,"        The Distribution of Sample Medians"]
[]
[null,null,"    This program simulates the distribution of"]
[null,null,"  sample medians based on repeated samples"]
[null,null,"   drawn from a variety of population patterns"]
[]
["Which population do you want?",{"$nulls":6},1,{"$nulls":9},{"$f":"nPop","v":420}]
[]
[]
[]
[]
["What is the sample size n (2-100)?",null,null,{"$f":"E12","v":24},24]
[]
["How many samples (50-240)?",null,null,50]
[]
[]
[null,"The median of this population is",null,null," med =     ",{"$f":"IF(pop=1,Samples!H5,IF(pop=2,Samples!H10,IF(pop=3,Samples!H15,Samples!H20)))","v":{"v":68.1710213776722,"d":"68.17"}}]
[null,"   with a standard deviation of",null,null,"  s =",{"$f":"IF(pop=1,Sheet2!B3,IF(pop=2,Sheet2!E3,IF(pop=3,Sheet2!G3,Sheet2!I3)))","v":{"v":2.8243193950669654,"d":"2.824"}}]
[null,"             The median of the population is"]
[]
[]
[{"$f":"\"On \"&TEXT(flips,\"0\")&\" samples of size \"&TEXT(\"n\",\"\")&\"  = \"&TEXT(n,\"0\")& \" from the \" &TEXT(pop_name,\"\")& \" population:\"","v":"On 50 samples of size n  = 24 from the skewed population:"}]
[null,{"$f":"\"The average of the \"&TEXT(flips,\"0\")& \" sample medians =\"","v":"The average of the 50 sample medians ="},{"$nulls":3},{"$f":"Samples!IN107","v":67.96}]
[null,"The corresponding standard deviation =",{"$nulls":3},{"$f":"Samples!IN108","v":{"v":0.8007649404138008,"d":"0.80"}}]
[]
[]
[null,true,"Run a New Random Sample"]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[null,null,"   Item 4"]
[null,null,"   Item 5"]
[]
[]
[]
["To access/download all the DIGMath Apps for Statistics"]
["Click this link:",null,"DIGMath for Statistics and Probability"]
[]
["Created by:  Sheldon P. Gordon   &   Florence S. Gordon    © 2025"]
["                  Farmingdale State College      NYIT"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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