Understanding Mean and Median Changes

The video tutorial discusses the impact of a student's new high bowling score on statistical measures like mean and median. Initially, four friends have scores between 180 and 220, with one student scoring 250. The student's new score of 290 is analyzed to determine its effect on the mean and median. The mean increases due to the higher score, while the median remains unchanged as it is determined by the middle value. The tutorial explains these concepts with examples, emphasizing that only the mean is affected by the change in the highest score.

What is the range of scores for the four friends?

• 220 to 260

• 200 to 250

• 180 to 220

• 150 to 200

What was the original high score of the student before breaking the record?

• 250

• 290

• 180

• 220

How does the new score of 290 affect the mean?

• The mean increases

• The mean decreases

• The mean remains the same

• The mean becomes zero

Why does the mean increase with the new score?

• Because the new score is higher than the previous high score

• Because the number of scores decreased

• Because the scores are lower

• Because the scores are all the same

What is the effect of the new score on the median?

• The median increases

• The median becomes zero

• The median remains unchanged

• The median decreases

Why does the median remain unchanged?

• Because the scores are all the same

• Because the change is at the end of the data set

• Because the number of scores decreased

• Because the scores are lower

What is the primary reason the median is unaffected by the score change?

• The median is always the highest score

• The median is always the lowest score

• The median is determined by the middle value

• The median is determined by the average

What happens to the mean when a high score increases?

• It becomes zero

• It remains the same

• It increases

• It decreases

What is the key takeaway regarding the mean and median from the score change?

• Both mean and median decrease

• Mean increases, median remains unchanged

• Mean remains unchanged, median increases

• Both mean and median increase

How many scores are considered when calculating the mean and median in this scenario?

• Seven

• Four

• Six

• Five