Final answer:
The median of the set of numbers 84, 50, 99, 83, 50, 78, 88, 85, 77, and 96 is 83.5. This is found by ordering the numbers and calculating the average of the two middle numbers since there is an even number of values.
Step-by-step explanation:
To find the median of a set of numbers, you must first arrange the numbers in order from least to greatest. The median is then the middle number if there is an odd number of values or the average of the two middle numbers if there is an even number of values.
The set of numbers provided is 84, 50, 99, 83, 50, 78, 88, 85, 77, and 96. When we order these numbers, we get 50, 50, 77, 78, 83, 84, 85, 88, 96, 99.
Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. These are 83 and 84. The median value is therefore: (83 + 84) / 2 = 83.5