91Ó°ÊÓ

Angela took a general aptitude test and scored in the 82 nd percentile for aptitude in accounting. What percentage of the scores were at or below her score? What percentage were above?

Consider the mode, median, and mean. Which average represents the middle value of a data distribution? Which average represents the most frequent value of a distribution? Which average takes all the specific values into account?

What is the relationship between the variance and the standard deviation for a sample data set?

What symbol is used for the arithmetic mean when it is a sample statistic? What symbol is used when the arithmetic mean is a population parameter?

When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain.

Find the mean, median, and mode of the data set \(\begin{array}{lllll}10 & 12 & 20 & 15 & 20\end{array}\)

Consider the following ordered data: \(\begin{array}{ccccccccc}2 & 5 & 5 & 6 & 7 & 7 & 8 & 9 & 10\end{array}\) (a) Find the low, \(Q_{1}\), median, \(Q_{3}\), high. (b) Find the interquartile range. (c) Make a box-and-whisker plot.

Consider the following ordered data: \(\begin{array}{llllllllll}2 & 5 & 5 & 6 & 7 & 8 & 8 & 9 & 10 & 12\end{array}\) (a) Find the low, \(Q_{1}\), median, \(Q_{3}\) high. (b) Find the interquartile range. (c) Make a box-and-whisker plot.

When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode?

In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the data set \(2,2,3,6,10\). (a) Compute the mode, median, and mean. (b) Add 5 to each of the data values. Compute the mode, median, and mean. (c) Compare the results of parts \((a)\) and \((b) .\) In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set?