Answer:
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Step-by-step explanation:
Let's evaluate each answer choice.
For reference, the data set is 90, 79, 5, 84, 95, 81 , 87, 94
From least to greatest: 5, 79, 81, 84, 87, 90, 94, 95
A. Since the data has many repeated values, the mode best represents the data.
⇒ The data set has no repeated values. Therefore, this answer choice cannot be correct.
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
⇒ This choice is correct. 5 is an extreme value. If we were to arrange the data from the least to greatest, the middle numbers would all be around 80 to 90 ( no big gaps).
C. Since there are no extreme values, the mean best represents the data.
⇒This data set does have an extreme value. There is a 5 in the mix of 80s and 90s. So, this answer is not correct.
D. Since there are no extreme values and few repeated numbers, the median best represents the data.
⇒ As previously mentioned, there is an extreme value of 5. We can eliminate this choice.
Therefore, the best answer choice is B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
