For a set of data with the number of groups = 3 and the total N = 300, the expected frequency (f_e) for each group is equal to ______.

Question

Quizplus · Accepted Answer

We can use the formula for expected frequency:
Expected Frequency (f) = (row total x column total) / grand total

In this case, since there are 3 groups and a total of 300:
Grand total (N) = 300
Number of groups = 3

So, for each group:
f = (row total x column total) / 300

Since we have no information about the actual values in the data set, we can assume that each group has the same number of observations (n), which would be:
n = N / number of groups = 300 / 3 = 100

Now we can calculate the expected frequency for each group:
f = (row total x column total) / 300
f = (1 x 1 x 100) / 300
f = 100 / 300
f = 1/3 * 100

So the expected frequency for each group is 33.33, which is closest to choice C (100).

For a Set of Data with the Number of Groups