Answer:
The value is [tex]\mu_n = 73.6[/tex]
Step-by-step explanation:
From the question we are told that
The total number of students is [tex]N = 25[/tex]
The number of student that took exam in class is n = 24
The number that took make up exam is k = 1
The average score of the first 24 students is [tex]\mu = 74[/tex]
The standard deviation is [tex]\sigma = 8.9[/tex]
The average score of the student who took make up test is [tex]\= x = 64[/tex]
Generally the new average is mathematically represented as
[tex]\mu_n = \frac{( n * \mu ) + \= x }{N}[/tex]
[tex]\mu_n = \frac{( 24 * 74 ) + 64 }{25}[/tex]
[tex]\mu_n = 73.6[/tex]
