Suppose you are a teacher and you have recorded the scores of your students on a recent math test. The scores are as follows: 85, 92, 78, 92, 90, 85, 88, 75, 92, 78. Calculate the mean, median, and mode of the test scores.

Sure, let's calculate the mean, median, and mode of the test scores.

1. Mean: The mean is the average of the numbers. To calculate the mean, you add up all the numbers and then divide by the number of numbers.

   (85 + 92 + 78 + 92 + 90 + 85 + 88 + 75 + 92 + 78) / 10 = 855 / 10 = 85.5

2. Median: The median is the middle number in a sorted list of numbers. To find the median, you need to sort the numbers in ascending order and then find the middle number. If there is an even number of observations, you take the average of the two middle numbers.

   Sorted list: 75, 78, 78, 85, 85, 88, 90, 92, 92, 92

   The two middle numbers are 85 and 88. So, the median is (85 + 88) / 2 = 86.5

3. Mode: The mode is the number that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

   The mode in this data set is 92, as it appears three times, more than any other number.

So, the mean is 85.5, the median is 86.5, and the mode is 92.