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<p><span style="line-height: 2em; font-family: arial,helvetica,sans-serif; font-size: medium;">Las notas de matemáticas de #n alumnos de un curso, en la ultima evaluación del semestre, se presentan en la siguiente tabla de frecuencia.</span></p> <p> </p> <p> </p> <table style="width: 279px; border-collapse: collapse;" border="0" cellspacing="0" cellpadding="0" align="center"> <tbody> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span style="color: black;">Nota (x<sub>i</sub>)</span></em></span></p> </td> <td style="width: 74.45pt; border: solid windowtext 1.0pt; border-left: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span style="color: black;">Frec. (f<sub>i</sub>)</span></em></span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">1.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr1</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">2.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr2</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">3.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr3</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">4.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr4</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">5.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr5</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">6.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr6</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">7.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr7</span></p> </td> </tr> </tbody> </table> <p> </p> <p> </p> <p><span style="line-height: 2em; font-family: arial,helvetica,sans-serif; font-size: medium;">Determine el promedio de notas del curso.<br /></span></p> <p> </p> <p><strong><span style="line-height: 2em; font-family: arial,helvetica,sans-serif; font-size: medium; color: #ff0000;">Observación:</span></strong></p> <p><span style="line-height: 2em; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #ff0000;">Ingrese su resultado con punto en vez de coma y redondeado a la décima en caso de ser necesario. Ejemplo si el resultado es 5,26 ingrese 5.3</span><br /></span></p> <p> </p> <p style="text-align: center;"> </p>
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Para determinar el promedio de notas del curso, lo que debes calcular es la media aritmética. Si nos apoyamos en la tabla de frecuencia, podemos agregar una tercera columna para realizar el producto entre la variable nota y la cantidad de veces que se repite (frecuencia).</span></p> <p> </p> <p> </p> <table style="width: 279px; border-collapse: collapse;" border="0" cellspacing="0" cellpadding="0" align="center"> <tbody> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span style="color: black;">Nota (x<sub>i</sub>)</span></em></span></p> </td> <td style="width: 74.45pt; border: solid windowtext 1.0pt; border-left: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span style="color: black;">Frec. (f<sub>i</sub>)</span></em></span></p> </td> <td style="width: 74.45pt; border: solid windowtext 1.0pt; border-left: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="top" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span style="color: black;">x<sub>i</sub> f<sub>i</sub></span></em></span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">1.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr1</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx1</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">2.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr2</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx2</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">3.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr3</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx3</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">4.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr4</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx4</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">5.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr5</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx5</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">6.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr6</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx6</span></p> </td> </tr> <tr style=";height: 15.0pt;"> <td style="width: 60.0pt; border: solid windowtext 1.0pt; border-top: none; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="80"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">7.0</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" nowrap="nowrap" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fr7</span></p> </td> <td style="width: 74.45pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; padding: 0cm 3.5pt 0cm 3.5pt; height: 15.0pt;" valign="bottom" width="99"> <p style="margin-bottom: .0001pt; text-align: center; line-height: normal;" align="center"><span style="font-size: medium; font-family: arial,helvetica,sans-serif; color: black;">#fx7</span></p> </td> </tr> </tbody> </table> <p> </p> <p><br /><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Luego sumando cada resultado obtenido en la tercera columna obtenemos:</span><br /><br /><br /></p> <div style="text-align: center;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»1«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»2«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»3«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»4«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»5«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»6«/mn»«mo»+«/mo»«mo»#«/mo»«mi»f«/mi»«mi»x«/mi»«mn»7«/mn»«mo»=«/mo»«/math»</span><br /><br /><br /><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»s«/mi»«mi»u«/mi»«mi»m«/mi»«/math»</span><br /><br /><br /></div> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Este resultado representa la suma de las notas obtenidas por los #n estudiantes del curso. Por lo tanto si este resultado lo dividimos en la cantidad de estudiantes, lo que obtendremos es la media, ósea, el promedio de notas del curso.</span><br /><br /><br /></p> <div style="text-align: center;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»s«/mi»«mi»u«/mi»«mi»m«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mo»#«/mo»«mi»m«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«/math»</span><br /><br /><br /> <div style="text-align: left;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Concluimos que el promedio del curso es #sol</span></div> </div>
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Answer 1
Answer
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100%
90%
83.33333%
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">¡Muy Bien!</span></p> <p> </p>
Answer 2
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None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
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33.33333%
30%
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20%
16.66667%
14.28571%
12.5%
11.11111%
10%
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Feedback
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Answer 3
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Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
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50%
33.33333%
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