the mean score on a math test taken by 15 students was 82%. one more student takes the test late and earns 93%. what is the new mean score? please show work

Answer 1

15 * 82 = 1230

1230 + 93 = 1323

1323 / 15 = 82.69

Answer 2

The sum of the original 15 students must have been
15(82) or 1230
So now we add on 93 to get a new total of 1323
but to get the new average, we must now divide this by 16
1323/16 = 82.6875 or 83% to the nearest whole number.

Answer 3

so the average doesnt change?

Answer 4

Yes the average changed -- from 82 to 82.6875 -- rounded to 83%