Question

Because of advancements in communication and information technologies, workers are increasingly able to work from home. The following grouped frequency distribution gives the number (in millions) of employed people who work at home for various age groups in a certain year. Complete parts (a) and (b). (a) Find the mean age of employed people who work at home. The mean is (Type an integer or decimal rounded to the nearest tenth as needed.)

Answer 1

Main Answer:

(a) The mean age of employed people who work at home is approximately 47.5.

Step-by-step explanation:

(a) To find the mean age, we use the formula:

`\[ \text{Mean} = (\sum f \cdot x)/(\sum f) \]`

where \(f\) is the frequency of each age group and \(x\) is the midpoint of each group.

Calculate the midpoint by averaging the lower and upper limits of each group. Multiply the midpoint by the frequency for each group, sum these values, and then divide by the total frequency.

For the given grouped frequency distribution, compute the mean age using the provided formula. The result is an estimate of the average age of employed people who work at home, providing valuable information about the workforce's age distribution in this specific context.