2. Explain the relationship between the population mean ?, the sample mean?̅, and a value of the sample mean ?̅. Which is the population parameter,which is a statistic, which is a point estimate, and which is an estimator? 2. Explain the relationship between the population mean u, the sample mean X, and a value of thesample mean x. Which is the population parameter, which is a statistic, which is a point estimate, andwhich is an estimator?

Name: 2. Explain the relationship between the population mean ?, the sample
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Description: 2. Explain the relationship between the population mean ?, the sample mean?̅, and a value of the sample mean ?̅. Which is the population parameter,which is a statistic, which is a point estimate, and which is an estimator? 2. Explain the relationship

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

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2. Explain the relationship between the population mean ?, the sample mean
?̅, and a value of the sample mean ?̅. Which is the population parameter,
which is a statistic, which is a point estimate, and which is an estimator?

2. Explain the relationship between the population mean u, the sample mean X, and a value of the
sample mean x. Which is the population parameter, which is a statistic, which is a point estimate, and
which is an estimator?

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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