Understanding Mean and Median Changes

The video tutorial discusses Ana's golf scores, focusing on the impact of removing her lowest score, 80, due to rule-breaking. It explains how this removal affects the median and mean of her scores. The median increases from 92 to 93, while the mean rises from 90.4 to 93. The tutorial provides a mathematical verification of these changes and concludes that both the mean and median increase, with the mean increasing more significantly.

What was Ana's lowest score before it was removed?

• 92

• 96

• 90

• 80

What happens to the median when the lowest score is removed?

• It remains the same

• It decreases

• It increases

• It becomes zero

How is the median calculated when there is an even number of data points?

• By taking the average of all numbers

• By taking the middle number

• By averaging the two middle numbers

• By taking the highest number

What is the intuitive effect on the mean when a low score is removed?

• The mean decreases

• The mean becomes zero

• The mean increases

• The mean remains the same

Why does removing a number lower than the mean increase the mean?

• Because it changes the median

• Because it removes a small number

• Because it adds more numbers

• Because it adds a large number

What was the mean of Ana's scores before removing the lowest score?

• 90.4

• 93

• 90

• 92

What is the mean of Ana's scores after removing the lowest score?

• 92

• 93

• 91

• 90

How does the mean change after removing the lowest score?

• It decreases

• It remains the same

• It increases

• It becomes zero

Which increased more after removing the lowest score, the mean or the median?

• Both increased equally

• The median

• Neither increased

• The mean

What is the correct statement about the changes in mean and median?

• Both increased, but the mean increased more

• Both decreased

• The median increased more than the mean

• Both remained the same