Question

After entering the test scores from her Statistics class of 37 students, the instructor calculated the mean and the median of the scores. Upon​ checking, she discovered that the score entered was 52​, but it should have been 62. When she corrects this​ score, how will the mean and median be​ affect

Answer 1

Based on the 37 students, the instructor calculated the mean and median. She discovered that score entered was 52, but it should have been 62.

Mean is affected by changing the observations.

Therefore the mean of score increase from the previous. Since the score change from 52 to 62.

Median is the positional average, it does not affect as long as the position does not changes.

If the median was less than 52, changing 52 to 62 does not result in change in median.

While if it was more than 52, the position of median shift by one observation.