Question

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 19 a: class width upper class limit class boundary lower class limit class midpoint

Explanation:

1. Class width is the difference between upper and lower limits of a class interval. For example, for 15 - 18, width is $18 - 15=3$, and 19 is not a class - width.
2. Upper class limit is the highest value in a class interval. In 19 - 22, the upper class limit is 22, so 19 is not an upper class limit.
3. Class boundaries are values that separate classes without gaps. For 15 - 18 and 19 - 22, class boundaries are calculated in a different way and 19 is not a class boundary.
4. Lower class limit is the lowest value in a class interval. In the class interval 19 - 22, 19 is the lowest value, so it is a lower class limit.
5. Class mid - point is calculated as $\frac{\text{lower limit}+\text{upper limit}}{2}$. For 19 - 22, mid - point is $\frac{19 + 22}{2}=20.5$, so 19 is not a class mid - point.

Answer:

Lower class limit