The 2008 general social survey asked a nationally representative sample of 1324 adult americans to report how many hours of television they watch in a typical day. The resulting data are reported in the following table counts. What is the mean numbers of hours of tv watched? 1324adult Americans to report how many hours ofThe 2008 General Social Survey asked a nationally representative sample oftelevision they watch in a typical day. The resulting data are reported in the following table of counts:Number of HoursCount08712732354L321541845636597108359310181111291213More than

Approach to solving the question: To find the mean number of hours of TV watched based on the data…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 22PFA

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The 2008 general social survey asked a nationally representative sample of 1324 adult americans to report how many hours of television they watch in a typical day. The resulting data are reported in the following table counts. What is the mean numbers of hours of tv watched?

1324
adult Americans to report how many hours of
The 2008 General Social Survey asked a nationally representative sample of
television they watch in a typical day. The resulting data are reported in the following table of counts:
Number of Hours
Count
0
87
1
273
2
354
L
3
215
4
184
5
63
6
59
7
10
8
35
9
3
10
18
11
1
12
9
12
13
More than

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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