John has scores of 88,73,90,85,93 on five math quizzes. What scores must john earn on the next math quiz to have a mean quiz score of exactly 88?

The mean means:

Add all numbers and then divide how many numbers there are

First Step:

88 + 73 + 90 + 85 + 93 = 429

Second Step:

429 / 5 = 85.8 <--- that is the mean of what you got.

However, the question asks you for what future grade you must make on the next test to average an 88% with those current grades. So this will tell us that we have to make at least in the 90's.

So we try 99%

88 + 73 + 90 + 85 + 93 + '99' = 528

then again we must divide by amount of numbers. Which there are 6 now, instead of 5.

528 / 6 = 88

So, in order for a student to receive an average of an 88%, they must make a 99% on the next test.

Cheers!

Johns next quizz will be 6-th.

If He want 88 points in tis case must be:

(88+73+90+85+93+x)/6=88

88+73+90+85+93+x=88*6

429+x=528

x=528-429

x=99

(88+73+90+85+93+99)/6= 528/6 = 88

To find the score John must earn on the next math quiz to have a mean quiz score of exactly 88, we can use the formula for the mean:

Mean = (sum of all scores) / (number of scores)

In this case, John has already taken 5 quizzes and we know their scores: 88, 73, 90, 85, and 93. So the sum of these scores is:

Sum = 88 + 73 + 90 + 85 + 93 = 429

Now, we can substitute the known values into the mean formula and solve for the unknown score:

88 = (429 + x) / (5 + 1)

We want to find the value of x, which represents the score John must earn on the next quiz. To solve for x, we can cross-multiply:

88 * (5 + 1) = 429 + x

528 = 429 + x

To isolate x, we subtract 429 from both sides of the equation:

528 - 429 = x

99 = x

Therefore, John must earn a score of 99 on the next math quiz to have a mean quiz score of exactly 88.

To find out what scores John must earn on the next math quiz to have a mean quiz score of exactly 88, we need to compute the total sum of scores he must have.

The mean (average) is calculated by summing all the scores and dividing by the total number of quizzes. In this case, we know that the mean is 88 and John has already taken 5 quizzes, so we have:

(88 + 73 + 90 + 85 + 93) / 5 = 429 / 5 = 85.8

We need the next quiz score to bring the mean up to exactly 88, so we have:

(429 + x) / 6 = 88

Where x represents the score John must earn on the next quiz.

Simplifying the equation:

429 + x = 6 * 88

429 + x = 528

x = 528 - 429

x = 99

Therefore, John must earn a score of 99 on the next math quiz to have a mean quiz score of exactly 88.