Answer:
40.83
Explanation:
To approximate the mean of the frequency distribution, we first calculate the midpoint of each age range by averaging the lower and upper bounds. Then, we multiply each midpoint by its corresponding frequency to find the weighted sums. Finally, we divide the total of these weighted sums by the total frequency of all age groups.
- For example, the midpoint for the age range 0-9 is [tex](0 + 9) / 2 = 4.5[/tex], and its weighted sum is [tex]4.5 \times 37[/tex].
- We repeat this process for all age ranges and sum these products.
- The mean is calculated by dividing this total weighted sum by the total frequency, [tex]237[/tex], yielding an approximate mean age of [tex]40.83[/tex].
Tips:
- The midpoint of an age range provides a representative value for calculating the mean in a grouped frequency distribution.
- The formula for the mean of a frequency distribution is [tex]\frac{\sum (midpoint \times frequency)}{\sum frequency}[/tex], simplifying the calculation process.
- Remember, this is an approximation since the exact ages within each range are not known.
Learn more at:
⊕ https://brainly.com/question/30955026 - What is a frequency table?
