Jasmine has an average of 95 on 15 quiz grades. If her teacher drops Jasmine’s lowest grade, a 72, which equation can beused to find n, Jasmine’s new quiz average?
A n = (95-72)/14
B n = [(95x15)-72]/14
C n = [(95x15)-72]/15
D n=[95(72-15)]/14
total of 15 tests = 95x15
take 72 away --> 95x15 - 72
find average of 14 tests ---> (95x15-72)/14
there were 10 quizzes. the range was 38. the mean was 90. there was one outlier. few students got 100. Find the sum of the 10 quiz.
Jasmine has an average of 95 on 15 quiz grades. If her teacher drops Jasmine's lowest grade, a 72, which equation can be used to find n, Jasmine's new quiz average?
To find Jasmine's new quiz average after her lowest grade is dropped, we need to deduct the lowest grade (72) and then divide by the remaining number of grades.
The correct equation is:
n = [(95 * 15) - 72] / 14
Explanation:
1. We start by multiplying Jasmine's original average (95) by the total number of grades (15).
- This accounts for the sum of all her quiz scores before dropping the lowest.
- 95 * 15 = 1425
2. Next, we subtract the dropped grade (72) from the sum we obtained in step 1.
- 1425 - 72 = 1353
3. Finally, we divide the result from step 2 by the new total number of grades, which is reduced by 1 due to dropping the lowest grade.
- 1353 / 14 = 96.64
Therefore, Jasmine's new quiz average, rounded to two decimal places, is approximately 96.64.
So, the correct answer is B. n = [(95 x 15) - 72] / 14.