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Adding or subtracting the same constant to each score will not change the standard deviation.

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A researcher selects a sample of 24 participants and has them complete a survey on dating preferences.In this example,what are the degrees of freedom for sample variance and what does this figure represent?


A) df = 24;it represents the number of scores that are free to vary in a sample.
B) df = 23;it represents the number of scores that are free to vary in a sample.
C) df = 23;dividing SS by df makes the sample variance a biased estimator of the population variance.
D) df = 24;dividing SS by df makes the sample variance an unbiased estimator of the population variance.

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Suppose a researcher observes a population of 12 people and computes SS = 192.In this example,the standard deviation is 4.

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Measures of variability can range in value from


A) - \infty to + \infty
B) 0 to +  Measures of variability can range in value from A) -  \infty  to +  \infty  B) 0 to +   C) It depends on whether the variability is positive or negative. D) It depends on the value of the mean for a given distribution.
C) It depends on whether the variability is positive or negative.
D) It depends on the value of the mean for a given distribution.

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Multiplying or dividing each score using the same constant will not change the standard deviation.

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The sum of the squared deviations of scores from their mean


A) is computed the same for samples and populations
B) is computed by squaring each deviation to avoid a zero solution in the numerator
C) is the numerator for the sample variance and population variance
D) all of the above

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A main disadvantage of computing a range is that it is a simple and quick measure of variability.

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The definitional formula for variance is stated in terms of how variance is defined.

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A researcher decides to split scores on an exam into quartiles.She determines that a score of 64 is at the 25th percentile,a score of 74 is at the 50th percentile,and a score of 80 is at the 75th percentile.What is the interquartile range (IQR) for these data?


A) 16
B) 10
C) 6
D) There is not enough information to answer this question.

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A researcher computes the computational formula for SS,as finds that ∑x = 39 and ∑x2 = 271.If this is a sample of 6 scores,then what would SS equal using the definitional formula?


A) 17.5
B) 3.5
C) 232
D) not possible to know because the sample mean is not given

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The range,a measure of variability,


A) is the difference between the largest (L) and smallest (S) value in a list of scores
B) is the most informative when used to describe data sets without outliers
C) includes only two values in its computation,regardless of the number of scores in a distribution
D) all of the above

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A researcher computes the computational formula for SS,as finds that ∑x = 22 and ∑x2 = 126.If this is a sample of 4 scores,then what would SS equal using the definitional formula?


A) 4
B) 5
C) 104
D) not possible to know because the sample mean is not given

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On average,the sample variance equals the population variance only when dividing SS by df.

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A researcher records the number of individual instruments identified by students listening to a piece of classical music.He splits the data into quartiles and reports that students correctly identified 3 instruments at the 25th percentile,5 instruments at the 50th percentile,and 8 instruments at the 75th percentile.What are the IQR and SIQR for these data?


A) the IQR is 3;the SIQR is 1.5
B) the IQR is 2;the SIQR is 1.0
C) the IQR is 5;the SIQR is 2.5
D) There is not enough information to answer this question.

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A researcher measures the amount of coffee consumed by college students while studying during the final exam week.In her study,she found that students drink 2.3±0.8 (M±SD) cups of coffee per study session.Assuming the data are normally distributed,which of the following is the most appropriate conclusion?


A) The average student drinks less than 2.3 cups of coffee per study session.
B) Most students drink between 1.5 and 3.1 cups of coffee per study session.
C) Most students drink between 2.3 and 3.9 cups of coffee per study session.
D) Most students drink between 0.7 and 2.3 cups of coffee per study session.

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An interquartile range removes


A) the top and bottom 25% of scores in a distribution before calculating range
B) scores above only the 75th percentile before calculating range
C) scores below only the 25th percentile before calculating range
D) all of the above

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The computational formula for the variance requires that you know the value of the mean.

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The empirical rule states that all scores will fall within 3 standard deviations of the mean.

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The sample standard deviation is equal to 6 when SS = 360 and n = 11.

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A researcher records the time in seconds it takes a sample of participants to walk alone through a dark portion of campus.The researcher computes SS = 1,200.Assuming that a sample of 25 participants was observed in this study,what is the standard deviation for these data?


A) 48 seconds
B) 50 seconds
C) 6.9 seconds
D) 7.1 seconds

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