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Exam 4: Measures of Variability

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Question 1

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Calculate the value of variance for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5

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Question 2

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Calculate the values of the mean for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

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Mean = 25.92

Question 3

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The simplest and most straightforward measure of variation is the range.

SELECT ALL THAT APPLY. -Consider the following hypothetical data: Catholic = 32,Protestant = 25,Jewish = 4,Muslim = 8,Other = 29,and None = 2. Which of the following statements are true?

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.Which value is closest to the variance?

SELECT ALL THAT APPLY. -In a distribution where all the scores are identical,

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.What is the closest value of the mean?

The type of information on how scores are spread from the center of a distribution is obtained by

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.Which value is closest to the standard deviation?

Calculate the range for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

The quantities that are needed to calculate IQV are: the number of categories and the sum of all percentages in the distribution.

Consider the variable,type of birth control practiced (e.g.,an IUD,condoms,none,etc) .Which measure of variability is best suited to describe variation in the distribution of this variable?

Construct a box plot based on the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5.Be sure to show the following quantities in your box plot: the minimum score,the maximum score,the range,interquartile range,and the median.

The quantity that is arrived at by taking the highest score minus the lowest score is referred to as the

Calculate the value of the standard deviation for the following sub-sample: 3,13,-4,10,0,12,-1,-2,6,9,5,11.

The box plot of a perfectly symmetrical distribution will have the box at the centre of the range as well as the median in the center of the box.

How can an IQV of .35,which describes the level of racial diversity in a southern U.S.state,be interpreted?

Which three quantities are needed to calculate the variance?

Numbers that describe diversity in a distribution are referred to as measures of

IQV is based on the ratio of the total number of differences in the distribution to the maximum number of possible differences within the same distribution.