CHAUMS EXAMPLE´S
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DATA GRADES FREQUENCY DISTRIBUTIONS GRADES 1 6 GRADES ABSOLUTE FREQUENCY RELATIVE FREQUENCY 2 7 5 1 0.1 3 6 6 4 0.4 4 8 7 2 0.2 5 5 8 1 0.1 6 7 9 1 0.1 7 6 10 1 0.1 8 9 10 1 9 10 10 6 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
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DATAGRADESFREQUENCY DISTRIBUTIONS GRADES16GRADESABSOLUTE FREQUENCYRELATIVE FREQUENCY27510.136640.448720.255810.167910.1761010.189101910106
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FREQUENCY DISTRIBUTION OF WEIGTHS OZDATANET WEIGTH IN OUNCES OF FRUIT OZWEIGHT OZRANGECLASS MIDPOINTABSOLUTE FREQUENCYRELATIVE FREQUENCYCUMULATIVE FREQUENCY119.319.2-19.419.2019.4019.310.051219.519.5-19.719.5019.7019.620.13319.719.8-20.019.82019.980.411419.820.1-20.320.120.320.240.215519.920.4-20.620.420.620.530.1518619.920.7-20.920.720.920.820.120719.9OZ201.00819.9919.9102011201220.11320.21420.31520.31620.41720.61820.61920.82020.9
3DATAGRADES1526GRADES36=7POINTS546MEDIAN=5.5POINTS656MODE=6POINTS667677688799710108910
4k=6redondeado R=0.3R=0.2666666667DATANET WEIGTHSWEIGTH OZCLASS MIDPOINT XABSOLUTE FREQUENCYRELATIVE FREQUENCYCUMULATIVE FREQUENCYfX119.319.2-19.419.310.05119.3219.519.5-19.719.620.1339.2319.719.8-20.019.980.411159.2419.820.1-20.320.240.21580.8519.920.4-20.620.530.151861.5619.920.7-20.920.820.12041.6719.9201.00819.9919.9fX=401.61020N=201120=20.08oz.1220.1L=19.8lower limit of the median class(i.c., 19.8-20.0 class which contains the 10th and 11th observations)1320.2F=3sum of frequencies up to but not including the median class1420.3fm=8frequency of the median class1520.3c=0.3width of class interval1620.4 med=20.06oz.1720.6d1=6frequency of the modal class minus the frequency of the previous class1820.6d2=4frequency of the modal class minus the frequency of the following class1920.8 mode=19.98oz.2020.9
5DATAGRADES1526N=10GRADES=X-|X-|(X-)236=7POINTS57-22446MEDIAN=5.5POINTS67-11156MODE=6POINTS67-11167MEDIAN2=6.567-1117767-1118877000997700010108711197224107339
N=10=7X-=0|X-|=12AD=1.2points(X-)2=222=2.2points squared=1.48 = 1.48 pointsCV=0.21 = 0.21 or 21%
6k=6redondeado R=0.3R=0.2666666667DATANET WEIGTHSWEIGTH OZCLASS MIDPOINT XABSOLUTE FREQUENCYRELATIVE FREQUENCYACUMULATIVE FREQUENCYfXX=X-X|X-X|(X-X)2f|X-X|f|X-X|2f(X-X)2119.319.2-19.419.310.05119.320.08-0.780.780.60840.780.60840.6084219.519.5-19.719.620.1339.220.08-0.480.480.23040.960.92160.4608319.719.8-20.019.980.411159.220.08-0.180.180.03241.442.07360.2592419.820.1-20.320.240.21580.820.080.120.120.01440.480.23040.0576519.920.4-20.620.530.151861.520.080.420.420.17641.261.58760.5292619.920.7-20.920.820.12041.620.080.720.720.51841.442.07361.0368719.9201.00819.9919.9fX=401.61020n=201120X=20.08oz.1220.1L=19.8lower limit of the median class(i.c., 19.8-20.0 class which contains the 10th and 11th observations)1320.2F=3sum of frequencies up to but not including the median class1420.3fm=8frequency of the median class1520.3c=0.3width of class interval1620.4med=20.06oz.1720.6d1=6frequency of the modal class minus the frequency of the previous class1820.6d2=4frequency of the modal class minus the frequency of the following class1920.8mode=19.98oz.2020.9f|X-X|=6.36AD=0.318oz.f(X-X)2=2.952s2=0.1554 = 0.1554 oz. Squareds=0.3942 = 0.3942 or 39.42% oz.CV=0.0196 = 0.0196 or 1.96% oz.
7DATAGRADES1526N=10GRADES=X-|X-|(X-)236=7POINTS57-22446MEDIAN=5.5POINTS67-11156MODE=6POINTS67-11167MEDIAN2=6.567-1117767-1118877000997700010108711197224107339
N=10=7X-=0|X-|=12AD=1.2points(X-)2=222=2.2points squared=1.48 = 1.48 pointsCV=0.21 = 0.21 or 21%SK=1.01 = 1.01
7(1)k=6redondeado R=0.3R=0.2666666667DATANET WEIGTHSWEIGTH OZCLASS MIDPOINT XABSOLUTE FREQUENCYRELATIVE FREQUENCYACUMULATIVE FREQUENCYfXX=X-X|X-X|(X-X)2f|X-X|f|X-X|2f(X-X)2119.319.2-19.419.310.05119.320.08-0.780.780.60840.780.60840.6084219.519.5-19.719.620.1339.220.08-0.480.480.23040.960.92160.4608319.719.8-20.019.980.411159.220.08-0.180.180.03241.442.07360.2592419.820.1-20.320.240.21580.820.080.120.120.01440.480.23040.0576519.920.4-20.620.530.151861.520.080.420.420.17641.261.58760.5292619.920.7-20.920.820.12041.620.080.720.720.51841.442.07361.0368719.9201.00819.9919.9fX=401.61020n=201120X=20.08oz.1220.1L=19.8lower limit of the median class(i.c., 19.8-20.0 class which contains the 10th and 11th observations)1320.2F=3sum of frequencies up to but not including the median class1420.3fm=8frequency of the median class1520.3c=0.3width of class interval1620.4med=20.06oz.1720.6d1=6frequency of the modal class minus the frequency of the previous class1820.6d2=4frequency of the modal class minus the frequency of the following class1920.8mode=19.98oz.2020.9f|X-X|=6.36AD=0.318oz.f(X-X)2=2.952s2=0.1554 = 0.1554 oz. Squareds=0.3942 = 0.3942 or 39.42% oz.CV=0.0196 = 0.0196 or 1.96% oz.sk=0.13 = 0.13
2.1 y 2.3a)Arrange these grades (raw data set) into an array from the lowest grade to the highest grade.b)Construct a table showing class intervals and class midpoints and the absolute, relative, and cumulative frequencies for each grade.c)Preesent the data in the form of a histogram, relative frequency histogram, frequency polygo, and ogive.Grades on a quiz for a class of 40 students.756287673910455467482356798247946783679105AGROUPEDUNGROUPEDK=10fX=238El resultado no es 240 debido al redondeo de decimalesWEIGTH OZCLASS MIDPOINTABSOLUTE FREQUENCYRELATIVE FREQUENCYACUMULATIVE FREQUENCYfXX=X-X|X-X|(X-X)2f|X-X|f|X-X|2f(X-X)2X=X-X|X-X|(X-X)2f|X-X|f|X-X|2f(X-X)2R=0.8n=401.5-2.4230.07535.85DATAGRADES(AGROUPED) =6POINTS2.5-3.4330.07568.8512(UNGROUPED) =6POINTS3.5-4.4450.1251119.7522L=5.5Es el valor inferior de clase media que se encuentra a la mitad de la serie ordenada de todos los datos de menor a mayor4.5-5.4550.1251624.7532F=16Es la frecuencia acumulada anterior a L5.5-6.4660.1502235.743fm=6Es la frecuencia de L6.5-7.4780.2003055.653c=1.0En este caso se redondea a 1 aunq el valor correcto seria el valor de R7.5-8.4840.1003431.863(AGROUPED) med=20.5=6pointsLa mediana es el valor que se encuentra en el lugar 20.5 pero como el valor es continuo se hace un promedio de el valor 20.5 y el 21 que sera ((6+6)/2)=6. 8.5-9.4940.1003835.874 (UNGROUPED) med=6.1666666667Points9.5-10.41020.0504019.984d1=2el la resta de la frecuencia de clase que mas se repita menos su frecuencia clase anterior401.00094d2=4el la resta de la frecuencia de clase que mas se repita menos su frecuencia clase siguiente.104L=6.5es el limite inferior de la frecuencia de la clase que se repita mas veces114 (AGROUPED) mode=6.8333333333125 (UNAGROUPED) mode=7points135f|X-X|=145(AGROUPED) AD=155(UNAGROUPED) AD=165f(X-X)2=176s2=186s=196(AGROUPED) CV=206(UNAGROUPED) CV=216(AGROUPED) sk=226(UNAGROUPED) sk=23724725726727728729730731832833834835936937938939104010
