Answer:
Step-by-step explanation:
Let Lucas final grade be x
All Lucas grade will be 75, 78, 82, and 84 and x.
Average score = 95
Since we are not told what to look for, we can find the Lucas final grade.
Using the formula for calculating mean (average)
Mean = Sum of the score/total test taken
95 = 75+78+82+84+x/5
95 = 319+x/5
Cross multiply
95×5 = 319+x
475 = 319+x
x = 475-319
x = 156
Lucas final grade is 156
One sixth of Lucas final grade = 1/6 × 156 = 26