Question

Frequency Use the frequency distribution to determine

a) the total number of observations.
b) the width of each class.
c) the midpoint of the second class.
d) the modal class (or classes).
e) the class limits of the next class if an additional
class were to be added.
Class
10 - 17
18 - 25
26 - 33
34 - 41
42-49
50 - 57
Frequency
9
0
2
0
7
8

Answer 1

observation is 33

Step-by-step explanation:

add up all the frequency numbers

Answer 2

In frequency distribution, the total number of observations is the sum of frequencies; class width is the interval range; the midpoint is the average of class limits; the modal class has the highest frequency; and new class limits are determined by adding the width to the current highest class limit.

Step-by-step explanation:

1. When analyzing a frequency distribution, there are several elements we can determine:
2. The total number of observations is found by summing all the frequencies in the distribution.
3. The width of each class is calculated by subtracting the lower class limit of one interval from the lower class limit of the next interval.
4. To find the midpoint of the second class, add the lower and upper limits of the second class and divide by 2.
5. The modal class is the class with the highest frequency.
6. If an additional class were to be added, the class limits of this new class would be determined by adding the class width to the upper limit of the highest current class.
7. Let's consider an example:
8. Total Number of Observations: Add up all the frequencies listed in the classes.
9. Class Width: If the class limits are 10-17 and 18-25, the width is 18-10, which is 8.
10. Midpoint (18+25)/2 = 21.5
11. Modal Class: Identify which class has the highest frequency. Suppose the 18-25 class has the highest frequency; it would be the modal class.
12. To add a new class after 50-57, if the width is 8: the next class would be 58-(58+8-1) = 58-65.