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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.