Provide an appropriate response.Suppose that a data set has a left-skewed distribution. Which do you think will be larger, the mean or the mode? Explain your thinking.

What will be an ideal response?


The mode will be larger. Explanations will vary. Possible answer: A  distribution contains a few extreme values lying far to the left of the bulk of the data. The mean is pulled in the direction of the extreme values, i.e. to the left. The mode is the most frequently occurring value, which for a left-skewed distribution is near the right end of the distribution.

Mathematics

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Let A and B be sets with cardinal numbers, n(A) = a and n(B) = b, respectively. Decide whether the statement is true or false.n(A ? B) = n(A) + n(B) - n(A ? B)

A. True B. False

Mathematics

Provide an appropriate response.Find an equation of the line tangent to y = xcot x at the point x = 1.

A. y = x cot 1 - 1 + cot 1 B. y = x cot 1 - 1 - cot 1 C. y = x cot 1 + 1 + cot 1 D. y = x cot 1 + 1 - cot 1

Mathematics

Provide an appropriate response.To which of the following sets does -  belong: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers?

A. Irrational numbers, natural numbers B. Rational numbers, real numbers C. Irrational numbers, real numbers D. Rational numbers, natural numbers

Mathematics

Find the fraction of a complete rotation that corresponds to the given angle. 

A.
B.
C.
D.

Mathematics