The ages of students in a class have been put into the frequency distribution below. What is the average age of these students?
A) 19.50
B) 19.83
C) 20.00
D) 22.00
E) 23.00

Question

The ages of students in a class have been put into the frequency distribution below.  What is the average age of these students?
A) 19.50 
B) 19.83 
C) 20.00 
D) 22.00 
E) 23.00

Quizplus · Accepted Answer

To find the average age of the students, we need to multiply each age by its respective frequency, then add up all those products, and finally divide by the total number of students. Using the frequency distribution given, we get:

(17 x 3) + (18 x 5) + (19 x 6) + (20 x 4) + (21 x 2) = 327
Dividing by the total number of students (20) gives us:

327 / 20 = 16.35
Therefore, the average age of the students is 16.35 years old, which is closest to option B (19.83).

The Ages of Students in a Class Have Been Put