Answer
The score on her next test that would keep her mean and median the same would be 95. Because her mean and median are already 95, another score of this value would not alter the mean or the median.
Step-by-step explanation
To answer this, we need to first obtain the current mean and median
96, 95, 98, 92, 94, 93, 97
The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.
Mean = (Σx)/N
x = each variable
Σx = Sum of the variables
N = number of variables
Σx = 96 + 95 + 98 + 92 + 94 + 93 + 97 = 665
N = 7
Mean = (Σx)/N
Mean = (665/7) = 95
Median
The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.
So, to obtain the median for this, we have to arrange all the scores in data.
96, 95, 98, 92, 94, 93, 97
92, 93, 94, 95, 96, 97, 98
We can easily see that the number in the middle is the fourth number and that number is 95
So, currently the mean and the median are already the same score, 95, so, the score that she needs to get in her next test to keep the mean and median equal is still 95.
Hope this Helps!!!