To calculate the mean for grouped data, which of the following steps must be completed?
a. multiply the number of subjects within each category by the value of that category
b. divide the results of the multiplication
c. multiply by the number of subjects
d. multiply each large number with the smaller numbers
To calculate the mean for grouped data, you need to follow these steps:
a. Multiply the number of subjects within each category by the value of that category: In grouped data, each category has a range of values and a corresponding frequency (the number of subjects in that category). Multiply the value of each category by its frequency to get the total sum of the values.
b. Add up the results of the multiplication: Sum up all the products from step (a) to get the total sum of the values.
c. Divide the sum by the total number of subjects: Divide the sum calculated in step (b) by the total number of subjects to get the mean.
Therefore, the correct steps are a and c:
a. Multiply the number of subjects within each category by the value of that category.
c. Divide the sum by the total number of subjects.