Answered: A nationwide test taken by high school…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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Question

A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a)According to Chebyshev's theorem, at least of the scores lie between _ and _ (Round your answer to 1 decimal place.) (b)According to Chebyshev's theorem, at least ▼(Choose one) of the scores lie between and .

A nationwide test taken by high school sophomores and juniors has three sections,
20 to 80. In a recent year, the national mean score for the writing section was 50.0,
of 9.7. Based on this information, complete the following statements about the dist
the writing section for the recent year.
(a) According to Chebyshev's theorem, at least 84% of the scores
lie between and. (Round your answer to 1 decimal place.)
(b) According to Chebyshev's theorem, at least
the scores lie between 30.6 and 69.4.
(Choose one)
of
X

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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