Donna has scored
73
,
82
,
71
,
79
, and
69
on her previous five tests. What score does she need on her next test so that her average (mean) is
75
?
6 * 75 = 450
At this point she has 374 points.
She needs 76 on the next test for an average of 75.
The answer is 76
To find out what score Donna needs on her next test to maintain an average of 75, we can use the formula for finding the mean (average):
Mean = (Sum of all the scores) / (Number of scores)
We know that the mean should be 75 and that Donna has already taken five tests. Therefore, we can set up the equation:
75 = (73 + 82 + 71 + 79 + 69 + x) / 6
Where x represents Donna's score on the next test.
To solve the equation, we first need to find the sum of the scores:
73 + 82 + 71 + 79 + 69 = 374
So, our equation becomes:
75 = (374 + x) / 6
Next, we can multiply both sides of the equation by 6 to get rid of the fraction:
75 * 6 = 374 + x
450 = 374 + x
Finally, we can solve for x:
x = 450 - 374
x = 76
Therefore, Donna needs to score 76 on her next test in order to maintain an average of 75.