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The Impact of Data Changes on Mean and Standard Deviation in Rental Costs and Scores

This analysis explores how changes in data affect the mean and standard deviation, using practical examples from rental costs and sports scores. The scenario includes two apartment buildings where the owner, after increasing rents uniformly, impacts the mean, while the standard deviation remains unchanged. In a second building, only certain renters face an increase, affecting both metrics. Additionally, it examines basketball scores decreased across the board and football passes altered between two groups of players. Through these examples, we learn how data manipulation can influence statistical measures.

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The Impact of Data Changes on Mean and Standard Deviation in Rental Costs and Scores

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Presentation Transcript

  1. EQ: How does changing the data affect the standard deviation and the mean? "When she told me I was average, she was just being mean". 

  2. 1. The monthly cost of living in an apartment building are given below: $400, $450, $500, $500, $550, $550, $600, $600, $700, $800, $850, $900, $1000, $1,100. The owner of the building decides to increase the rent of all his renters by $100! • How does this affect the mean? 2. How does this affect the Standard Deviation? Increases by $100 Stays the same!

  3. 2. The monthly cost of living in a different apartment building are given below: $450, $550, $550, $575, $600, $600, $700, $800, $850, $900, $1200, $1,200. The owner of the apartment next door heard about his neighbor’s rent increase and decided to up his rent too! But, he’s only going to increase the rent of those that pay above $800. • How does this affect the mean? 2. How does this affect the Standard Deviation? Increases Increases

  4. 3. A set of basketball scores for each Greyhound are recorded for 2010. In 2011 each player scores 5 less points for the season • How does this affect the mean? 2. How does this affect the Standard Deviation? Decreases by 5 Stays the same

  5. 4. The football records for the 2009 season are recorded. In 2010 the top 5 completed 10 more passes each and the bottom five players completed 5 less passes each. • How does this affect the mean? 2. How does this affect the Standard Deviation? Stays the Same Increases

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