Question

1. a biology class had 60 female students and 40 male students. descriptive statistics of the scores on the final exam for this class are given below: what is the class average?

Explanation:

Step1: Calculate the total score of female students

The total score of female students is the product of the number of female students ($N_{female} = 60$) and the mean score of female students ($\bar{x}_{female}=63.70$). So, $Total_{female}=N_{female}\times\bar{x}_{female}=60\times63.70 = 3822$.

Step2: Calculate the total score of male students

The total score of male students is the product of the number of male students ($N_{male}=40$) and the mean score of male students ($\bar{x}_{male} = 57.35$). So, $Total_{male}=N_{male}\times\bar{x}_{male}=40\times57.35=2294$.

Step3: Calculate the total number of students

The total number of students $N = N_{female}+N_{male}=60 + 40=100$.

Step4: Calculate the class - average

The class - average $\bar{x}=\frac{Total_{female}+Total_{male}}{N}=\frac{3822 + 2294}{100}=\frac{6116}{100}=61.16$.

Answer:

$61.16$