Look at the following test scores: 90, 90, 93, 85, 87, 79, 100, 95, 82, and 89. Wilbert took the test and earned a 60%. How is Wilbert's score going to affect the data set?
A) The mean decreases slightly and the median decreases tremendously.
B) The mean decreases and the median stays about the same.
C) The mean increases and the median decreases.
D) It will not affect the data.
Assuming that the other scores are also percentages, Wilbert got an extremely low score, B.
To determine how Wilbert's score is going to affect the data set, let's first understand the concepts of mean and median.
The mean (also known as the average) is calculated by adding up all the values in the data set and dividing it by the total number of values. It gives us a measure of the central tendency of the data set.
The median, on the other hand, is the middle value in a sorted list of numbers. If the data set contains an odd number of values, the median is the middle number. If the data set contains an even number of values, the median is the average of the two middle numbers.
Now, let's examine the given data set: 90, 90, 93, 85, 87, 79, 100, 95, 82, and 89.
To determine the effect of Wilbert's score on the mean and median, we need to consider that his score of 60% is significantly lower than the rest of the scores.
If we calculate the mean of the original data set (excluding Wilbert's score), it would be 90. In this case, Wilbert's score is lower than the mean, which means it will bring down the overall average when included.
However, when considering the median, which is 89 in the given data set, Wilbert's score does not have a significant impact. The median is not influenced by extreme values, so even though Wilbert's score is low, it does not affect the middle value.
Based on these observations, the correct answer is:
B) The mean decreases and the median stays about the same.