3.4 lesson extension 1: avoiding poisonous zeros\nmissing an assignment and getting a zero can be deadly…

3.4 lesson extension 1: avoiding poisonous zeros\nmissing an assignment and getting a zero can be deadly poison on your average grade. imagine your grades for a class were the same as below. how does one zero affect your overall grade?\n\n| |example 1|example 2|example 3|\n|----|----|----|----|\n|1st grade|96|74|78|\n|2nd grade|84|66|92|\n|3rd grade|88|80|76|\n|4th grade|92|60|84|\n|zero|0|0|0|\nadd the first four grades then divide by four to calculate the grade average without a zero.\nadd all five grades then divide by five to calculate the grade average with a zero.\nchange the \0\ to \50.\ then add all five grades and divide by five to calculate the grade average with a 50 instead of a zero.\n\nwhat effect did one zero have on the average grades? how much did the letter grade change? (e.g., from an \a\ to a \c.\)\n\nsome teachers will let you turn in a late assignment for at least partial credit. how much did changing a \0\ with a partial credit of \50\ change the average grades?

3.4 lesson extension 1: avoiding poisonous zeros\nmissing an assignment and getting a zero can be deadly poison on your average grade. imagine your grades for a class were the same as below. how does one zero affect your overall grade?\n\n| |example 1|example 2|example 3|\n|----|----|----|----|\n|1st grade|96|74|78|\n|2nd grade|84|66|92|\n|3rd grade|88|80|76|\n|4th grade|92|60|84|\n|zero|0|0|0|\nadd the first four grades then divide by four to calculate the grade average without a zero.\nadd all five grades then divide by five to calculate the grade average with a zero.\nchange the \0\ to \50.\ then add all five grades and divide by five to calculate the grade average with a 50 instead of a zero.\n\nwhat effect did one zero have on the average grades? how much did the letter grade change? (e.g., from an \a\ to a \c.\)\n\nsome teachers will let you turn in a late assignment for at least partial credit. how much did changing a \0\ with a partial credit of \50\ change the average grades?

Answer

Explicación:

Paso 1: Calcular promedio sin cero (Ejemplo 1)

Sumamos los primeros cuatro calificaciones: $96 + 84+88 + 92=360$. Luego dividimos por 4: $\frac{360}{4}=90$.

Paso 2: Calcular promedio con cero (Ejemplo 1)

Sumamos todas las cinco calificaciones: $96 + 84+88 + 92+0 = 360$. Luego dividimos por 5: $\frac{360}{5}=72$.

Paso 3: Calcular promedio con 50 en lugar de cero (Ejemplo 1)

Sumamos las calificaciones con 50 en lugar de cero: $96 + 84+88 + 92+50 = 410$. Luego dividimos por 5: $\frac{410}{5}=82$.

Paso 4: Calcular promedio sin cero (Ejemplo 2)

Sumamos los primeros cuatro calificaciones: $74+66 + 80+60 = 280$. Luego dividimos por 4: $\frac{280}{4}=70$.

Paso 5: Calcular promedio con cero (Ejemplo 2)

Sumamos todas las cinco calificaciones: $74+66 + 80+60+0 = 280$. Luego dividimos por 5: $\frac{280}{5}=56$.

Paso 6: Calcular promedio con 50 en lugar de cero (Ejemplo 2)

Sumamos las calificaciones con 50 en lugar de cero: $74+66 + 80+60+50 = 330$. Luego dividimos por 5: $\frac{330}{5}=66$.

Paso 7: Calcular promedio sin cero (Ejemplo 3)

Sumamos los primeros cuatro calificaciones: $78+92 + 76+84 = 330$. Luego dividimos por 4: $\frac{330}{4}=82.5$.

Paso 8: Calcular promedio con cero (Ejemplo 3)

Sumamos todas las cinco calificaciones: $78+92 + 76+84+0 = 330$. Luego dividimos por 5: $\frac{330}{5}=66$.

Paso 9: Calcular promedio con 50 en lugar de cero (Ejemplo 3)

Sumamos las calificaciones con 50 en lugar de cero: $78+92 + 76+84+50 = 380$. Luego dividimos por 5: $\frac{380}{5}=76$.

En general, el cero reduce significativamente el promedio. Cambiar el cero por 50 aumenta el promedio, pero no lo recupera al nivel del promedio sin cero.

Respuesta:

Ejemplo Promedio sin cero Promedio con cero Promedio con 50 en lugar de cero
1 90 72 82
2 70 56 66
3 82.5 66 76