Answer to Question #172796 in Statistics and Probability for rahul langeh

Question

the best paper was wrongly scored 75 instead of 85 what will be the new mean if the average score of 24 students in a class in 58 marks

Answer 1

$\text{An incorrect old average score:}$

$\bar{x_{1}}=\frac{1}{n}\Sigma_{i=1}^nx_i;n=24$

$\bar{x_{1}}=\frac{1}{24}\Sigma_{i=1}^{24}x_i=58;$

$\text{The correct average score:}$

$\bar{x}=\frac{1}{24}(\Sigma_{i=1}^{24}x_i+10)=58+\frac{10}{24}\approx58.42$

Answer: 58.42 is a new average score.