Question

module 2 quiz descriptive statistics
score: 20/190 answered: 2/19
question 3
ages number of students
15 - 18 2
19 - 22 4
23 - 26 8
27 - 30 9
31 - 34 6
35 - 38 3
based on the frequency distribution above, is 36.5 a:
lower class limit
class midpoint
class width
upper class limit
class boundary

Explanation:

Step1: Recall definitions

Lower class limit is the smallest value in a class interval (e.g., 15 for 15 - 18). Class midpoint is calculated as $\frac{\text{lower limit}+\text{upper limit}}{2}$ (e.g., for 15 - 18, $\frac{15 + 18}{2}=16.5$). Class width is the difference between upper and lower limits (e.g., 18 - 15=3). Upper class limit is the largest value in a class interval (e.g., 18 for 15 - 18). Class boundary is the mid - point between the upper limit of one class and the lower limit of the next class.

Step2: Analyze the value 36.5

The class 35 - 38 has lower limit 35 and upper limit 38. The class width is $38-35 = 3$. The mid - point is $\frac{35+38}{2}=36.5$.

Answer:

Class midpoint