{"text_format":"3","workbook":"xlsx","n_sheets":4,"sheets":["Sample IQRs","Sheet2","Samples","Sheet4"],"not_rendered":{"charts":2,"macros":1,"defined_names":24,"comments":1},"read":"whole","date_system":"1900"}

{"sheet":"Sample IQRs","index":0,"n_rows":45,"n_cols":6,"rows_kept":45}
[null,"          The Distribution of Sample IQR's"]
[]
[null,null,"  This program simulates the distribution of"]
[null,null,"       sample InterQuartile Ranges (IQR's)"]
[null,null,"             based on repeated samples"]
[null,null,"   drawn from a variety of population patterns"]
[]
["Which population do you want?",null,null,4]
[]
[]
[]
[]
["What is the sample size n (2-50)?",null,null,{"$f":"E13","v":18},18]
[]
["How many samples (50-240)?",null,null,{"$f":"E15","v":200},200]
[]
[]
["The mean and standard deviation ",{"$nulls":3},"  m =     ",{"$f":"IF(pop=1,Sheet2!B2,IF(pop=2,Sheet2!E2,IF(pop=3,Sheet2!G2,Sheet2!I2)))","v":{"v":70.2439024390244,"d":"70.24"}}]
[null,{"$f":"\"of this \"&IF(pop=1,\"normal\",IF(pop=2,\"uniform\",IF(pop=3,\"U-shaped\",\"skewed\")))&\" population are:\"","v":"of this skewed population are:"},null,null,"  s =",{"$f":"IF(pop=1,Samples!H6,IF(pop=2,Samples!H11,IF(pop=3,Samples!H16,Samples!H21)))","v":{"v":3.4129453929515345,"d":"3.413"}}]
[null,"             The population IQR is",null,null,"IQR =",{"$f":"IF(pop=1,Sheet2!C2,IF(pop=2,Sheet2!F2,(IF(pop=3,Sheet2!H2,Sheet2!J2))))","v":{"v":5,"d":"5.0"}}]
[]
[]
[]
[{"$f":"\"On \"&TEXT(flips,\"0\")&\" samples of size \"&TEXT(\"n\",\"\")&\"  = \"&TEXT(n,\"0\")& \" from the \" &TEXT(pop_name,\"\")& \" population:\"","v":"On 200 samples of size n  = 18 from the skewed population:"}]
[null,null,{"$f":"\"The mean of the sample IQR's =\"","v":"The mean of the sample IQR's ="},null,null,{"$f":"Samples!IN430","v":{"v":4.1625,"d":"4.16"}}]
[null,null,"The corresponding standard deviation =",null,null,{"$f":"Samples!IN431","v":{"v":1.5520188667713,"d":"1.552"}}]
[]
[null,null,"Run a New Random Sample",null,false]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[]
[]
[]
["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."]

{"sheet":"Sheet2","index":1,"n_rows":428,"n_cols":25,"rows_kept":428}
[null,"Normal data",null,null,"Uniform data",null,"U-shaped",null,"Skewed data",null,"Samp Pop",{"$nulls":6},"freq","%","Bin","Frequency",null,"2nd chart","Bin","Freq"]
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[null,{"$f":"_xlfn.STDEV.P(B5:B424)","v":{"v":2.923222951863892,"d":"2.923"}},"IQR",null,{"$f":"_xlfn.STDEV.P(E6:E424)","v":{"v":4.13217824450158,"d":"4.132"}},"IQR",{"$f":"_xlfn.STDEV.P(G6:G401)","v":{"v":5.074937744736156,"d":"5.075"}},"IQR",{"$f":"_xlfn.STDEV.P(I5:I420)","v":{"v":3.437103770901482,"d":"3.437"}},"IQR",{"$nulls":5},"For Pop'n Histogram",null,{"$f":"COUNTIF(M1:M1000,\"=1\")","v":0},0,60.5,{"$f":"COUNTIF(Samples!G$2:G$425,\"=61\")","v":5},{"$f":"SUM(U$2:U3)","v":8},null,3,{"$f":"COUNTIF(Samples!I$427:IN$427,\"<=1\") - COUNTIF(Samples!I$427:IN$427,\"<=0.5\" )","v":0}]
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[424,{"$nulls":3},75,{"$nulls":5},0]

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[null,"Normal","Uniform","U-shaped","Skewed","Pop Samp",null,"Sample #",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240]
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