A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 49.4, with a standard deviation of 10.4. 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, Listed options are: 36%, 56%, 75%, 84%, or 89%) of the scores lie between 28.6 and 70.2. A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. Ina recent year, the national mean score for the writing section was 49.4, with a standard deviation of 10.4. Based on thisinformation, complete the following statements about the distribution of the scores on the writing section for the recentyear.(a) According to Chebyshev's theorem, at least 84% of the scores liebetween and. (Round your answer to 1 decimal place.)(b) According to Chebyshev's theorem, at least (Choose one)scores lie between 28.6 and 70.2.of theX5 ?

From given information, score scale is 20 to 80. National mean score was 49.4 with a standard…

Answered: A nationwide test taken by high school…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 49.4, with a standard deviation of 10.4. 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, Listed options are: 36%, 56%, 75%, 84%, or 89%) of the scores lie between 28.6 and 70.2.

A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In
a recent year, the national mean score for the writing section was 49.4, with a standard deviation of 10.4. 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 84% of the scores lie
between and. (Round your answer to 1 decimal place.)
(b) According to Chebyshev's theorem, at least (Choose one)
scores lie between 28.6 and 70.2.
of the
X
5 ?

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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