Statistics Chapter 3
Name and describe the three most important measures of central tendency. a) The mean, median, and mode are the most important measures of central tendency. The mean of a data set is its arithmetic average. The median of a data set is the middle value in its ordered list. The mode of a data set is its most frequently occurring value. b) The mean, median, and mode are the most important measures of central tendency. The mean of a data set is the product of the observations divided by the number of observations. The median of a data set is the lowest value in its ordered list. The mode of a data set is its least frequently occurring value. c) The mean, sample size, and mode are the most important measures of central tendency. The mean of a data set is the sum of the observations divided by the middle value in its ordered list. The sample size of a data set is the number of observations. The mode of a data set is its highest value in its ordered list. d) The sample size, median, and mode are the most important measures of central tendency. The sample size of a data set is the difference between the highest value and lowest value in its ordered list. The median of a data set is its most frequently occurring value. The mode of a data set is sum of the observations divided by the number of observations.
a) The mean, median, and mode are the most important measures of central tendency. The mean of a data set is its arithmetic average. The median of a data set is the middle value in its ordered list. The mode of a data set is its most frequently occurring value.
In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 51.8% as moderate, and 21.1% as conservative. For this year, a random sample of 400400 incoming college freshman yielded the frequency distribution for political views shown below. Would it be appropriate to use either the mean or the median as a measure of center? a) The median would be best because it is not affected by the gap between the largest and smallest frequencies b) Either the mean or the median would be best because they are about the same c) The mean would be the best because the political views of all freshman in the sample is close to the proportion of the population d) Since the data is qualitative, neither the mean nor the median can be used as a measure of center
d) Since the data is qualitative, neither the mean nor the median can be used as a measure of center
A board of governors publishes information on family net worth. In 2010, the mean net worth of families in a particular country was $462.8462.8 thousand and the median net worth was $79.879.8 thousand. Which measure of center do you think is more appropriate? Explain your answer. a) The median because it takes into account each family's net worth in the country. b) The median because it is not strongly affected by the relatively few families with extremely low net worth. c) The mean because it takes into account each family's net worth in the country. d) The median because it is not strongly affected by the relatively high net worth
d) The median because it is not strongly affected by the relatively high net worth