High School

Carl has completed 8 math homework assignments, each worth 20 points, with a mean score of 17. Carlos has two more 20-point homework assignments to complete before his progress report is sent out, and he wants to raise his mean score to 18.

Is it possible for Carlos to raise his mean score to 18? If it is possible, explain what scores he would need to achieve. If not, explain why it is not possible.

Answer :

It is not possible for Carlos to raise his mean score to an 18, as he would need a total of 44 out of 40 available points.

How to calculate the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

For the 8 assignments, he has a mean of 17, hence the sum of the scores is given as follows:

8 x 17 = 136.

For a mean score of 18 in 10 tests, the needed score is given as follows:

18 x 10 = 180.

Hence the number of needed points is given as follows:

180 - 136 = 44 > 40 available.

More can be learned about the mean of a data-set at https://brainly.com/question/1136789

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