Provide an appropriate response.The mode of a data set is always/sometimes/never (select one) one of the data points in a set of data. Explain your answer with brief examples.

What will be an ideal response?


Answers will vary. Possible answer: The median is sometimes one of the data points. If the number of data points is odd, the median will be one of the data points (the middle data point). If the number of data points is even, the median is the average of the two middle data points which will be equal to one of the data points only if the two middle data points are identical.

Mathematics

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Use the guidelines to evaluate the study. Discuss flaws that you see in the study. A documentary which appeared on a TV station owned by a large biotech company announced that 77% of Americans are in favor of genetically modified foods. The researcher for the documentary had conducted a telephone poll of 200 people selected randomly from the phone book. Each person in the sample had been asked "Are you in favor of increasing the production of genetically modified foods in order to increase the world food supply?"

What will be an ideal response?

Mathematics

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.f(x) = 3x5 + 4x3 - 9x2 + 2; -1 and 0

A. f(-1) = 14 and f(0) = -2 B. f(-1) = -14 and f(0) = 2 C. f(-1) = -13 and f(0) = 3 D. f(-1) = 14 and f(0) = 2

Mathematics

Find the quotient. Write the answer in standard form.

A.  - i
B.  - i
C.  + i
D.  - i

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A. 4x2y
B. 2x4y2
C. 2x2y
D. 28xy

Mathematics