How many new hires to lift the average

EasyStatistics~2m

A team of 30 analysts currently averages 70 on an assessment. How many additional analysts, each scoring 90, must join so that the combined team average rises to exactly 78?

Show hints (2)+
  1. Set (2100+90n)/(30+n)=78(2100 + 90n)/(30+n) = 78 and solve for nn.
  2. Balance the deficits: each old analyst is 8 below target, each new one 12 above.

Answer

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20

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Asked at: Multi-Strategy Quant, Data-Driven Research

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