Answer:
(A) The data set of the sample of students who has taken a calculus test is right skewed.
(B) The average of female students in the class is 66.
Step-by-step explanation:
(A)
For a left skewed distribution the Mean < Median < Mode.
For a right skewed distribution the Mean > Median > Mode.
For a symmetric distribution the Mean = Median = Mode.
Given: Mean = 78.2, Median = 67 and Mode = 67
In this case the mean of the data is more than the median and mode.

Thus, the data set of the sample of students who has taken a calculus test is right skewed.
(B)
Total number of student (
) = 35
Combined average (
) = 70
Number of male student (
) = 20
Average of male students (
) = 73
Number of female student (
) = 15
Average of female students = 
The formula to compute the combined average is:

Compute the value of
as follows:

Thus, the average of female students in the class is 66.