Answer :
The correct answer is b. 96 is the median.
To find the median of a set of data, the numbers must be arranged in ascending order, and then the middle number is identified. If there is an even number of observations, the median is the average of the two middle numbers.
For the given set of data: 99, 95, 93, 92, 97, 95, 97, 97, 93, 97, we first arrange them in ascending order:
92, 93, 93, 95, 95, 97, 97, 97, 99
Since there are 10 numbers, an even count, we take the 5th and 6th numbers to find the median. These numbers are 95 and 97.
The median is the average of these two numbers: (95 + 97) / 2 = 192 / 2 = 96.
The median is the middle of a sorted list of number. So, we need to place the number in value order, that is,
[tex]92,93,93,95,95,97,97,97,97,99[/tex]then, the middle is between the 5th and 6th number:
then, we need to find the mean value of these numbers. So, the median is
[tex]\text{ median=}\frac{95+97}{2}=96[/tex]Therefore, the answer is option C.
