Lauren's scores on her math tests are 93,91,98,100,95,92,and 96. what score does lauren need to get on her next math test test so that the mean and the mediam stay the same?

Lauren needs to get a mean/median score in order to keep from changing either of those values. She needs a 95.

In order, the scores are

... 91, 92, 93, 95, 96, 98, 100

The median is the middle of these, 95, and the problem statement tells us the mean is the same (which it is).

If Lauren were to get a higher score, it would raise the mean. The median would shift to halfway between 95 and 96. The score that makes the new mean be 95.5 is 99. The mean and median would be the same (again), but they wouldn't stay the same value they are now.

Likewise, if Lauren were to get a lower score, it would reduce the mean. The median would shift to halfway between 93 and 95. The score that makes the new mean be 94 is 87. The mean and median would be the same (again), but they wouldn't be the same value they are now.

If Lauren got 87, 95, or 99 on her test, her mean and median scores would be the same. They would only stay the same if she got a 95.

Step-by-step explanation:

sushusis