Question 152678
The average is the sum of all of the scores divided by the total number of scores.
Let call his final grade X.
The average would then be,
{{{A=(84+86+71+91+98+X)/6}}}
The average is divided by 6 because there would be 6 scores after the final.
Set the average equal to 82 and solve for X.
{{{A=(84+86+71+91+98+X)/6=82}}}
{{{84+86+71+91+98+X=492}}}
{{{430+X=492}}}
{{{X=62}}}
He needs to score at least a 62 to average out to an 82.