Final answer:
To find the difference between the mean and median score, calculate the mean by multiplying each score by its corresponding percentage, summing up these products, and dividing by 100. Then, arrange the scores in ascending order to find the median. Finally, subtract the median from the mean to get the difference.
Step-by-step explanation:
To find the difference between the mean and median score, we first need to calculate the mean and median. Given that 10% scored 70, 35% scored 80, 30% scored 90, and the rest scored 100, we can calculate the mean by multiplying each score by its corresponding percentage, summing up these products, and dividing by 100. The median score is the score that falls in the middle when all scores are arranged in ascending order. After calculating the mean and median, we can find the difference between them.
Let's calculate the mean:
Mean = (10/100) * 70 + (35/100) * 80 + (30/100) * 90 + (remaining percentage) * 100
Next, let's find the median by arranging the scores in ascending order:
70, 80, 80, 80, ..., 90, 90, 90, ..., 100
After finding the mean and median, subtract the median from the mean to get the difference.