Exam 3: Measures of Central Tendency

The median cannot be found for variables measured at the nominal level because

When interval-ratio data are badly skewed,the appropriate measure of central tendency is the

The three commonly used measures of central tendency are

In a small seminar class,there were eight Protestants,four Catholics,three Jews,two Muslims,a Buddhist,and eight students with no religious affiliation ("Nones").The mode for this variable is

The sum of the differences between the scores of a distribution and the mean of the scores is always

The median defines "central tendency" in terms of the

If a distribution of test scores has a mean of 70 and a median of 63,the distribution has

In any distribution,the mean and the median will have the same value when the distribution is

If a distribution of test scores has a mean of 70 and a median of 80,the distribution has

The median represents the score that is

What is the median of the following set of twelve grades? 55 $\quad$ 60 $\quad$ 62 $\quad$ 67 $\quad$ 70 $\quad$ 72 $\quad$ 75 $\quad$ 76 $\quad$ 77 $\quad$ 85 $\quad$ 95

In a ranked list of 25 scores,the median is the score of

The mode should be used to measure central tendency when the level of measurement of the variable is

On a survey,age was divided into three categories: 1)Younger than 18 2)18 to 21 3)Older than 21 The researcher computed the mean age of her respondents by adding up the scores (the 1s,2s,and 3s)and then dividing by the number of cases.This was a mistake because the data are

In a positively skewed distribution the mean is

What measure of central tendency would be most appropriate to summarize data about the color of movie stars' eyes?

A math professor is wondering if students today are better or worse than in the past.He has given the same final to this year's class that he gave ten years ago.Compute mean,median,and mode for both classes and write a paragraph summarizing the differences. $\text { This year }$ 35 45 65 75 87 80 169 71 53 90 99 95 70 82 73 93 67 61 57 74 72 77 71 81 83 $\text { Ten years }$ $\text { ago }$ 56 77 75 76 59 4 51 89 55 79 67 77 69 91 68 90 65 79 69 79 87 86 98 91 95

In a campaign debate over the level of prosperity in the state,the incumbent governor says: "average income is $53,000." His opponent responds "the average citizen earns only $38,000." Both statements are true.This is possible because

For variables measured at the interval-ratio level,the preferred measure of central tendency would be the

If you subtracted the mean from each score in a distribution,squared the differences,and then added the squared differences,the sum would be