Lauren's scores on her math tests are, 93, 91, 98, 100, 95, 92, and 96. What score could Lauren get on he next math test so that the mean and median remain the same? Explain your answer

First you need to find the mean & median:

mean:

93 + 91 + 98 + 100 + 95 + 92 + 96 = 665

665 / 7 = 95

median:

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

95

Because the mean and median are the same, her next test score should be 95. The average of the current average and 95 (her next test score) is 95, so that will remain the same. If you add 95 to the median list, the median will still be 95. The same goes for the mean. Her next test score should be 95.