 # Grades in three tests in College Algebra are 87,59 and 73. The average after final is 75 To calculate:The points needed on the final to average the points to 75. Harlen Pritchard 2021-01-10 Answered
Grades in three tests in College Algebra are 87,59 and 73.
The average after final is 75
To calculate:The points needed on the final to average the points to 75.
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Calculation:
Let the grade in the final test be x
Average of n numbers ${a}_{1}+{a}_{2}+{a}_{3}+...+{a}_{n}$ is given by $A=\frac{{a}_{1}+{a}_{2}+{a}_{3}+...{a}_{n}}{n}$
Plugging the values,
$A=\frac{87+59+73+x}{4}$
Given average is 75
Therefore,
$75=\frac{87+59+73+x}{4}$
Multiplying both sides by 4
$75\ast 4=\frac{87+59+73+x}{4\ast 4}$
$300=219+x$
Subtracting 219 from both the sides, $300—219=219+x—219$
$81=x$
$x=81$
Therefore the score required in final test to get an average of 75 is 81.