Answer:
88
Step-by-step explanation:
this question is a question that involves the use of the statistical principles of finding average
let the summation of the six scores of the biology test be represented as ∑x
∴ ∑x÷ 6=74
∑x=74 × 6
=444
444 is the summation of all the scores of all the six biology scores reuben had
the next test would be his 7th
let y represent the score for the 7th test
therefore, [tex]\frac{444 + y}{7}[/tex] = 76
444 + y = (76 × 7)
444 + y = 532
y=88
Reuben needs to score 88 to raise his average to 76
88 is the score does Ruben need on the next test to raise his average (mean) to 76.
Ruben has a mean score of 74 for six biology tests.
We need to determine what score does Ruben need on the next test to raise his average (mean) to 76.
Now, the mean score of 76 is 2 more than the 74, so Ruben has to score that much in test that raise the mean of previous scored by 2.
Therefore, previously Ruben has given six tests. Now, for raising the mean up to 76 marks for six test, he has to score 12 marks extra for covering the lagging in mean also in this test he has to score 76 marks also.
Thus,
[tex]\begin{aligned}\rm{Ruben's\;Score}&=76+2 \times 6\\&=76+12\\&=88 \end{aligned}[/tex]
Thus, 88 is the score does Ruben need on the next test to raise his average (mean) to 76.
To know more about the mean, please refer to the link:
https://brainly.com/question/15662511
