cw2In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High SchoolMean score on testNumber of ninth gradersGlenwood75288Central City96304Lincoln High67176 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 79.3 . Of course, that is incorrect.What is the mean score for all ninth graders in the city? Mean of all ninth grader's scores = Round to 2 places

Answered: cw2 In a city with three high schools,…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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cw2

In a city with three high schools, all the ninth graders took a Standardized Test, with these results:

High School	Mean score on test	Number of ninth graders
Glenwood	75	288
Central City	96	304
Lincoln High	67	176

The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 79.3 . Of course, that is incorrect.

What is the mean score for all ninth graders in the city?

Mean of all ninth grader's scores = Round to 2 places

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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