Consider two data sets, A and B. The sets are identical except that the high value of data set B is three times greater than the high value of data set A. How do the box-and-whisker plots of the two data sets compare?

Consider two data sets A and B. The sets are identical except that the high value of data set B is three times greater than the high value of data set A. How do the standard deviations of the two data sets compare?

Consider the following measures: mean, median, variance, standard deviation, percentile. Which measures utilize relative position of the data values?

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22.5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam.

Two cards are drawn at random from a standard deck. (A standard deck has 52 cards: 13 hearts, 13 diamonds, 13 clubs, and 13 spades.) (a) Are the outcomes of drawing the two cards independent? Why? (b) If the first card is replaced before the second is drawn, what is the probability that both cards will be hearts? (c) If the first card is not replaced before the second is drawn, what is the probability that both cards will be hearts?

Staff Another survey was done at Center Hospital to determine how long (in months) clerical staff had been in their current positions. The responses (in months) of 20 clerical staff members were

$$\begin{array}{rrrrrrrrrr}25 & 22 & 7 & 24 & 26 & 31 & 18 & 14 & 17 & 20 \\ 31 & 42 & 6 & 25 & 22 & 3 & 29 & 32 & 15 & 72\end{array}$$

Compare this plot with the one in the previous problem. Discuss the locations of the medians, the locations of the middle halves of the data banks, and the distances from $Q_1$ and $Q_3$ to the extreme values.

Find each integral by using the integral table on the inside back cover. $\int(\ln x)^{2} d x$

Evaluate each of the following definite integrals by thinking of the graphs of the functions, without any calculation. $\int_{2.345}^{2.345+1000 \pi} \cos t d t$

Find each integral. $\int(\cos x-1) d x$

How much should a healthy kitten weigh? A healthy 10-week-old (domestic) kitten should weigh an average of $\mu=24.5$ ounces with a (95% of data) range from 14 to 35 ounces. Let x be a random variable that represents the weight (in ounces) of a healthy 10-week-old kitten. Assume that x has a distribution that is approximately normal.

At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were

$$\begin{array}{cccccccccc} 23 & 2 & 5 & 14 & 25 & 36 & 27 & 42 & 12 & 8 \\ 7 & 23 & 29 & 26 & 28 & 11 & 20 & 31 & 8 & 36 \end{array}$$

Make a box-and-whisker plot of the data. Find the interquartile range.

Another survey was done at Center Hospital to determine how long (in months) clerical staff had been in their current positions. The responses (in months) of 20 clerical staff members were

$$\begin{array}{llllllllll} 25 & 22 & 7 & 24 & 26 & 31 & 18 & 14 & 17 & 20 \\ 31 & 42 & 6 & 25 & 22 & 3 & 29 & 32 & 15 & 72 \end{array}$$

(a) Make a box-and-whisker plot. Find the interquartile range.

Explain the mechanical process of expiration.

Consider the following ordered data: 2 5 5 6 7 7 8 9 10. Make a box-and-whisker plot.