Suppose that the largest and smallest value in a data set is omitted. Will the median change? Will the mean change? Explain.

Construct a stem-and-leaf plot to display the following data. Then interpret the data.90,92,86,122,100,131,87,105,94,85,97,101,111,121,113,88,150,91

In a survey, employed adults were asked how likely they thought it was that they would lose their jobs within the next year. The results are presented in the following frequency distribution.

$$\begin{array}{lr} \text{Response} & \text{Frequency}\\ \hline \text{Very likely} & 741\\ \text{Fairly likely} & 859\\ \text{Not too likely} & 3789\\ \text{Not likely} & 9773\\ \hline \end{array}$$

$\textbf{a.}\hspace{10pt}$ Construct a frequency bar graph.

$\textbf{b.}\hspace{10pt}$ Construct a relative frequency distribution.

$\textbf{c.}\hspace{10pt}$ Construct a relative frequency bar graph.

$\textbf{d.}\hspace{10pt}$ Construct a pie chart.

$\textbf{e.}\hspace{10pt}$ True or false: More than half of the people surveyed said that it was not likely that they would lose their job.

$\textbf{f.}\hspace{10pt}$ What proportion of the people in the survey said that it was very likely or fairly likely that they would lose their job?

Explain why ${ }_n C_r$ appears in the formula for the probability of a binomial experiment, $P={ }_n C_r p^r(1-p)^{n-r}$.

Find the variance and standard deviation for each data set. $\\$$1.34,2.56,4.78,11.89,8.92$

Make a relative frequency table and relative frequency histogram for each data set. $\\$$0.1,0.3,0.1,0.2,0.4,0.2,0.1,0.5,0.3,0.1,0.1,0.2,0.1,0.3,0.2$

Three classes took the same test. Use the box-and-whisker plots below for the scores of each class to answer the question.

Which class had the greatest IQR?.

Find the mean, median, and mode of each data set. Give answers to the nearest thousandth, when necessary. $\frac{1}{3}, \frac{1}{9}, \frac{5}{6}, \frac{5}{9}$.

Suppose that $70 \%$ of the adults in a certain city are registered, voters. In a group of $10$ randomly selected adults in the city, find the probability that the indicated number are registered, voters. $\\$ at least$6$.

Find the mean, median, and mode of each data set. Give answers to the nearest thousandth, when necessary.

$$\frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{8}$$

Make a relative frequency table and relative frequency histogram for each data set. $\\$$40,60,80,30,70,80,80,60,60,40,30,40,70,100,60,70,30,40$

Three classes took the same test. Use the box-and-whisker plots below for the scores of each class to answer the question.

Which class had the highest $Q_1$?

Find the variance and standard deviation for each data set. $\\$$2.42,7.46,4.97,4.22,6.44$

Suppose that $70 \%$ of the adults in a certain city are registered, voters. In a group of $10$ randomly selected adults in the city, find the probability that the indicated number are registered, voters. $\\$ exactly$8$.