How To Find the Midpoint in a Frequency Table?

Answer: To find the midpoint in a frequency table, calculate the midpoint for each class by averaging the upper and lower boundaries of the class, then use these midpoints for further analysis or calculations.

A frequency table often divides data into classes or intervals with a frequency (the number of occurrences) for each class. The midpoint (or class mark) of each class is found by adding the lower boundary of the class to the upper boundary and dividing by 2.

For example, if a class interval is 10-20, the midpoint is calculated as:

Midpoint = (10+20)/2 = 15

This process is repeated for each class interval in the table. These midpoints can then be used to calculate measures of central tendency, like the weighted mean, where each midpoint is multiplied by its class frequency, and the results are summed and divided by the total number of observations.

In conclusion, finding the midpoint in a frequency table involves averaging the upper and lower boundaries of each class, providing a representative value for further statistical analysis.