Question

Cumulative Frequency Distribution for Employment Years:

The following is a cumulative frequency distribution describing the number of years (to the nearest year) that a forest company has employed each of its 50 employees: Note: Σf

Answer 1

Cumulative frequency distribution is a statistical tool that shows the accumulation of frequencies in a data set, useful for understanding distribution patterns such as employment duration among company employees.

Step-by-step explanation:

The cumulative frequency distribution in the question relates to the field of Mathematics, specifically to the area of statistics. It is used to understand the employment duration within a company by summarizing the number of years each of the 50 employees has been employed there.

• A frequency represents how often a specific data value occurs.
• Cumulative frequency is a running total of frequencies through the data set, showing the number of observations below a particular value.
• Relative frequency refers to the proportion of times a value occurs in relation to the entire data set.

Cumulative relative frequency is calculated by adding the relative frequency of a data value to the sum of the relative frequencies of all data values that precede it in a sorted list. This can help determine what percentage of the data falls below a certain level. For example, determining what percentage of CEOs are under a certain age or the unemployment rate over a period of years are applications of these concepts.