Statistics-Chapter 4 Study Questions

Find the median of the following data set 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7 (2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9) A. 5 B. 4 C. 5.24 D. 7

A

The distribution of weights of men in the American population is not symmetrical. Most weights are bunched together at the lower end of the distribution. As weights increase, there are fewer and fewer men with these weights. How would you describe the relationship between the mean, the median, and the mode in this distribution? A. mode<median<mean B. mean<median<mode C. mean=median=mode D. median<mode<mean

A

The mode is defined as A. the most frequently occurring score B. the mathematical center of the distribution C. the smallest deviation from the mean D. the point at or below which 50% of the scores fall

A

Why is the median unaffected by extreme scores occurring in only one tail of the distribution? A. Because the median does not take into account the actual values of all the scores B. Because the median takes into account the actual values of all the scores C. Because the median is only one point in the whole distribution D. Because the median is based only on how frequently the median score occurs

A

Which measure of central tendency is appropriate if the shape of the distribution is symmetrical and the measurement scale is interval or ratio? A. the mode B. the median C. the mean D. the deviation

C

Which measure of central tendency should a researcher use to describe the sex of participants in a study? A. the mean B. the median C. the mode D. the deviation

C

The mode is the appropriate measure of central tendency when the scale of measurement is A. nominal B. ordinal C. interval D. ratio

A. nominal

Find the median of the scores in the following frequency distribution. Score: 9, 8, 7, 6, 5, 4, 3 Freq.: 2, 4, 8, 6, 4, 3, 2 A. 8 B. 7 C. 6.21 D. 6

D

How would you describe the following set of scores? 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 8, 8, 8, 9, 9 A. negatively skewed B. normally distributed C. positively skewed D. bimodal

D

In an effort to quit smoking, Pat began eating butterscotch hard candies. For the month of September, Pat's mean was 24 pieces of candy per day. What was the total number of butterscotch candies that Pat consumed in September? A. 240 B. 460 C. 680 D. 720

D

Find the mode of the following data set: 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7 (2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9) A. 5 B. 4 C. 5.24 D. 7

B

In which of the following sets of data would the mode be inappropriate? A. 3, 4, 5, 5, 6, 7 B. 3, 4, 5, 6, 7 C. 3, 4, 4, 4, 5, 5, 6, 7, D. 3, 4, 5, 5, 6, 7

B

Measures of central tendency are measures of A. distance B. location C. deviation D. extremes

B

The mean is defined as A. the most frequency occurring score B. the mathematical center of the distribution C. the smallest deviation from the center score D. the point at or below which 50% of the scores fall

B

The median is the preferred measure of central tendency when A. the scale of measurement is nominal B. the scale of measurement is ordinal C. the scale of measurement is ratio D. the distribution is symmetrical and the scale of measurement is interval or ratio

B

Which measure of central tendency is appropriate if the shape of the distribution is severely skewed? A. the mode B. the median C. the mean D. the deviation

B

Which measure of central tendency should an academic counselor use to describe a student's rank order in his/her classes? A. the mean B. the median C. the mode D. the deviation

B

Why shouldn't the mode be used with the following set of scores? 2, 5, 3, 3, 4, 2, 4, 5, 1, 1 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5 A. the data are obviously not nominal B. there is no mode C. the scores are positively skewed D. the scores are negatively skewed

B

With respect to other scores in a distribution, measures of central tendency A. are around all the other scores B. are the points around which most of the scores are located C. usually fall in the tails or extremes of the distribution D. are never actually equal to one of the scores in the distribution

B

Adding numbers is an important procedure in statistics. Instead of saying "add up all scores," we use the symbol. A. K B. X C. Σ D. Y

C

An experimenter investigated the ability to concentrate as a function of crowding. Concentration was measured as the amount of time it took the participant to complete a word puzzle. How should the experimenter summarize the scores on the dependent variable? A. Find the mode for crowding because crowding scores are nominal B. Find the mean amount of crowding, if crowding scores are normally distributed C. Find the mean amount of time it took to solve the puzzle, if time scores are normally distributed D. Find the median amount of time it took to solve the puzzle because time scores are ordinal

C

Find the mean of the following data set. 8, 7, 2, 4, 4, 8, 2, 4, 6, 5, 7, 3, 9, 4, 5, 4, 7 (2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9) A. 5 B. 4 C. 5.24 D. 7

C

Find the mean of the scores in the following frequency distribution. Score: 9, 8, 7, 6, 5, 4, 3 Freq.: 2, 4, 8, 6, 4, 3, 2 A. 8 B. 7 C. 6.21 D. 6

C

Find the modes of the scores in the following frequency distributions Score: 9, 8, 7, 6, 5, 4, 3 Freq.: 2, 4, 8, 6, 4, 3, 2 A. 8 B. 6 C. 7 D. 6.21

C

In a skewed distribution the mathematical center is A. the median, which is the point around which most of the scores tend to be located B. the mode, which is the point around which most of the scores tend to be located C. the mean, which is not the point around which most of the scores tend to be located D. impossible to determine

C

The mean is an inappropriate measure of central tendency when the distribution is severely skewed because A. it is not the mathematical center of a skewed distribution B. only 50% of the scores in a skewed distribution are near it C. it does not accurately describe a skewed distribution D. only the mode describes a skewed distribution

C

When a distribution's mode=median=mean, it is said to be A. positively skewed B. negatively skewed C. symmetrical D. bimodal

C

In order to decide which measure of central tendency is appropriate, you must first determine A. the appropriate graph to use and the independent variable B. the independent and the dependent variables C. how the data will be collected D. the scale of measurement being used and the shape of the distribution

D

The mean is the preferred measure of central tendency when A. the scale of measurement is interval B. the scale of measurement is ordinal, interval, or ratio and the distribution is skewed C. the scale of measurement is ratio D. the distribution is symmetrical and the scale of measurement is interval or ratio

D

The median is defined as A. the most frequently occurring score B. the mathematical center of the distribution C. the smallest deviation from the mean D. the point at or below which 50% of the scores fall

D

To obtain the mean, we would A. count all the scores and divide by the total number of scores B. add all the scores and divide by the sum of all the scores C. divide the total number of scores by the sum of all the scores D. add all the scores and divide by the total number of scores

D