PA.D.1.1
Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Create data displays using technology to examine this impact.
Example Problems
A cat gave birth to 3 kittens who each had a different weight between and :
Then, the cat gave birth to a 4th kitten that weighed .
How will adding this kitten's weight affect the median; will it increase, decrease, or stay the same?
Then, the cat gave birth to a 4th kitten that weighed .
How will adding this kitten's weight affect the median; will it increase, decrease, or stay the same?
Nia tracked her step counts for 8 days. The mean step count was exactly 10,000 steps. On the 9th day, she logged 10,000 steps.
How will adding this day's count affect the mean; will it increase, decrease, or stay the same?
How will adding this day's count affect the mean; will it increase, decrease, or stay the same?
Lara is a wildlife researcher.
They were analyzing the mean lengths of 7 fish their team had observed. The fish all had different lengths between and .
Lara found out that they were misreading the longest length. It was actually , not .
How will this length increasing affect the mean; will it increase, decrease, or stay the same?
They were analyzing the mean lengths of 7 fish their team had observed. The fish all had different lengths between and .
Lara found out that they were misreading the longest length. It was actually , not .
How will this length increasing affect the mean; will it increase, decrease, or stay the same?

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