alicia received the following seven scores on her math assignments.\n80, 90, 10, 75, 90, 95, 99\nfind the…

alicia received the following seven scores on her math assignments.\n80, 90, 10, 75, 90, 95, 99\nfind the mean and median. which measure of center best represents the data?\n○ the mean\n○ the median\n○ both the mean and the median\n○ neither the mean nor the median

alicia received the following seven scores on her math assignments.\n80, 90, 10, 75, 90, 95, 99\nfind the mean and median. which measure of center best represents the data?\n○ the mean\n○ the median\n○ both the mean and the median\n○ neither the mean nor the median

Answer

Explanation:

Step1: Calculate the Mean

To find the mean, we sum all the scores and divide by the number of scores. The scores are 80, 90, 10, 75, 90, 95, 99. The sum is (80 + 90 + 10 + 75 + 90 + 95 + 99 = 539). There are 7 scores, so the mean is (\frac{539}{7}=77).

Step2: Calculate the Median

First, we need to order the scores from least to greatest: 10, 75, 80, 90, 90, 95, 99. Since there are 7 scores (an odd number), the median is the middle value, which is the 4th value. So the median is 90.

Step3: Determine the Best Measure

The score of 10 is an outlier (it is much lower than the other scores). The mean is affected by outliers, while the median is not. Here, the mean (77) is pulled down by the outlier 10, but the median (90) better represents the typical score since most scores are around 90.

Answer:

the median (along with the mean calculation: 77, median: 90, and the conclusion that median is better) For the multiple - choice part, the answer is: the median (the option: the median)