Final answer:
To find the mean of a frequency table, multiply each value by its frequency, sum these products, and divide by the total number of values. For grouped data, use interval midpoints to estimate the mean.
Option A is correct.
Step-by-step explanation:
The correct option for finding the mean of a frequency table is:
A) Summing all values and dividing by the count
To calculate the mean from a frequency table, you need to multiply each value by its corresponding frequency, sum up these products, and then divide by the total number of observations (sum of frequencies).
The formula is:
Mean= Sum of (X⋅Frequency) / Sum of Frequencies
Here, Xrepresents the midpoints or values of the intervals in the frequency table.
This method takes into account both the values and their frequencies, providing an accurate measure of the central tendency.
Option A is correct.