A school principal wants to know the average number of extracurricular activities students in her school
participate in. She decides to collect data from a random sample of 50 students to calculate this average.
The principal asks each student in the sample to list all the extracurricular activities they participate in, such as sports teams, clubs, volunteer groups, etc. After compiling this information, the principal finds that the total number of extracurricular activities for all 50 students is 225.
To find the average number of extracurricular activities per student, the principal divides the total number of activities by the number of students in the sample:
Average number of activities per student = total number of activities / number of students
Average number of activities per student = 225 / 50
Average number of activities per student = 4.5
Therefore, the average number of extracurricular activities that students in the principal's school participate in is 4.5.