anonymous
  • anonymous
An orchestra consists of 25 members. The youngest member is 32 years old. She leaves and is replaced by a new member who is 30 years old. 1A : 2.0 POINTS By how much does the replacement change the average age of the members of the orchestra? [Note on answer format: Calculate your answer in years. If you think the average is unchanged, enter 0. If you think it goes up by 10.5 years, enter 10.5. If you think it goes down by 10.5 years, enter -10.5.] unanswered
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[ \mu=\frac{32+\sum\limits_{k=2}^Na}{N}\\ \frac{\sum\limits_{k=2}^Na}{N}=\mu-{32\over N}\\ \mu'={30\over N}+\frac{\sum\limits_{k=2}^Na}{N}={30\over N}+\left(\mu-{32\over N}\right)\\ \mu'-\mu={30-32\over 25}={-2\over25}\\ \boxed{\mu'-\mu=-0.08\rm{years}} \]
anonymous
  • anonymous
Its mean, we have to enter -0.08, this is 1A what about 1B?
Directrix
  • Directrix

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