Answered: Based on the results shown here, which…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Based on the results shown here, which profanity measure had the largest variability in participant responses?

* p < .05. ** p < .01. *** p < . 001.

In the study, participants completed an honesty measure on which they considered questions for which a yes answer is unlikely, such as "Are all your habits good and desireable ones?" The honesty measures assessed whether they tended to answer honestly versus in a way that socially desirable (and so less honest).

Participants were then asked about their swearing in three ways. First, participants reported their frequency of swearing on different contexts, a measures called "profanity self-report." They then completed two behavioral measures: (1) Students were asked to list the curse words they "use the most," and the (2) students were asked to list the curse words they "like the most." The researchers added, "Feel free, don't hold back."

Variables Mean SD Honesty Profanity Self-report Used

Honesty 7.63 3.00 (0.79)

Profanity self-report 6.51 2.56 0.34*** (0.84)

Profanity used 4.09 2.61 0.20** 0.46*** ( - )

Profanity liked 1.60 1.62 0.13* 0.41*** 0.45***

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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