Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise 36 find the mean, variance, and standard deviation of the binomial distribution for the given random variable. Interpret the results and determine any unusual values. 36. Supreme Court Ten percent of college graduates think that Judge Judy serves on theSupreme Court. You randomly select 10 college graduates and ask them whether theythink that Judge Judy serves on the Supreme Court. The random variable represents thenumber who think that Judge Judy serves on the Supreme Court. (Source: CNN)

Answered: 36. Supreme Court Ten percent of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise 36 find the mean, variance, and standard deviation of the binomial distribution for the given random variable. Interpret the results and determine any unusual values.

36. Supreme Court Ten percent of college graduates think that Judge Judy serves on the
Supreme Court. You randomly select 10 college graduates and ask them whether they
think that Judge Judy serves on the Supreme Court. The random variable represents the
number who think that Judge Judy serves on the Supreme Court. (Source: CNN)

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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