Last question was inncorrectly typed 1A sample of students w

Last question was inncorrectly typed:

1.A sample of students who has taken a calculus test has a mean =78.2, mode =67, median 67.

Based on this information, the distribution of scores is: symmetric, right skewed, left skewed, bimodal...

2. the average score for a class of 35 students was 70. the 20 male student\'s in the class averaged 73, the 15 female student\'s in the class averaged:    73, 70, 66, 60

So if I am this bad at the work imagine how the tests will go... ugh

Solution

1.

As mode < mean, then it is right skewed. [ANSWER]

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2)

As

grand mean = (n1 X1 + n2 X2) / (n1 + n2)

Then

70 = [20(73) + 15(X2)]/(35)

2450 = 1460 + 15X2

990 = 15X2

Hence,

X2 = 66 [ANSWER]