Statistics Projects for High School Students

Which set of ordered pairs could be generated by an exponential function? a. (0, 0), (1, 1), (2, 8), (3, 27) b. (0, 1), (1, 2), (2, 5), (3, 10) c. (0, 0), (1, 3), (2, 6), (3, 9) d. (0, 1), (1, 3), (2, 9), (3, 27)

For each topic, decide which type of association a scatterplot of the data would likely show. Explain your choice. Outdoor temperature and layers of clothing

Match each verbal statement with the value o fQCR U best matches. Drawing sample scatter plots might help you decide QCR values: -1 0 0.33 0.81 1. a. Mrs. A Every student who was below average on test 1 was also below average on test 2. Every student who was above average on test 1 was also above average on test 2." b. Ms. B: "Most of the students who were below average on test 1 were below average on test 2. Similarly, most of the students scoring above average on test 1 were also above average on test 2. There were a few exceptions, but the trend was clear." c. Mr. C: "Wow, there was really no correlation between test 1 and test 2! half the students who were below average on the first test were also below average on the second test, but half were above average! The same was true for the above average students!" d. Mr. D: "This is so weird. Every student who was below average on test 1 was above average on test 2, and vice versa." e. Mr. E: "Of those scoring above average on test 1, about 60% were above average on test 2, but 40$ were below average."

An observational study is retrospective if it considers only existing data. It is prospective if the study design calls for data to be collected as time goes on. Tell which of the following observational studies are retrospective and which are prospective. Paxton devises a complicated formula based on game statistics for rating quarterbacks. He applies it to all NFL quarterbacks who played in the league between 1950 and 2000 and concludes that the quarterbacks from the 1970s were the best overall.

Find a real-life data set that can be represented by a two-way table. Then make a two-way table for the data set.

Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table. Which of the following statements is false? A. Thirty-nine students were polled in all. B. Fourteen teachers were polled in all. C. Twenty-three students are not in favor of extending the parking lot. D. Nine teachers are in favor of extending the parking lot. In FavorNot in Favor Students1623 Teachers914

When would you use a two-way table to display data?

How can you use two way-frequency tables to analyze data?

Describe in your own words the process you use to write marginal relative frequencies for data given in a two-way table.

The missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115

The ___________ relative frequencies are the sums of each row and column in a two-way table. (joint, marginal, or conditional)

Complete the table.
$\begin{array}{|ccc|}\hline \text{Grade}& \text{Frequency}& \text{Relative frequency}\\ A& 5\\ B& 11\\ C& 16\\ D& 5\\ F& 1\\ \hline\end{array}$
(Round to two decimal places as needed.)

What type of a variation is displayed by the scatterplot?

A city recreation department offers Saturday gymnastics classes for beginning and advanced students. Each beginner class enrolls 15 students, and each advanced class enrolls 10 students. Available teachers, space, and time lead to the following constraints. ∙∙ There can be at most 9 beginner classes and at most 6 advanced classes. ∙∙ The total number of classes can be at most 7. ∙∙ The number of beginner classes should be at most twice the number of advanced classes. a. What are the variables in this situation? b. Write algebraic inequalities giving the constraints on the variables. c. The director wants as many children as possible to participate. Write the objective function for this situation. d. Graph the constraints and outline the feasible region for the situation. e. Find the combination of beginner and advanced classes that will give the most children a chance to participate. f. Suppose the recreation department director sets new constraints for the schedule of gymnastics classes. ∙∙ The same limits exist for teachers, so there can be at most 9 beginner and 6 advanced classes. ∙∙ The program should serve at least 150 students with 15 in each beginner class and 10 in each advanced class. The new goal is to minimize the cost of the program. Each beginner class costs $500 to operate, and each advanced class costs $300. What combination of beginner and advanced classes should be offered to achieve the objective? .

Anthony has added a line of best fit to the scatterplot. Do you agree with where he put the line? Explain your reasoning.

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $\begin{array}{|ccccccccccc|}\hline x& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ f(x)& 2& 4.079& 5.296& 6.159& 6.828& 7.375& 7.838& 8.238& 8.592& 8.908\\ \hline\end{array}$

1) If A and B are mutually exclusive events with $P(A)=0.3$ and $P(B)=0.5$, then $P(A\cap B)=?$
2) An experiment consists of four outcomes with $P(E_1)=0.2,P(E_2)=0.3,$ and $P(E_3)=0.4$. The probability of outcome $E_4$ is ?
3) If A and B are mutually exclusive events with $P(A)=0.3$ and $P(B)=0.5$, then $P(A\cap B)=?$
4) The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately
5) If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is ?

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $\begin{array}{|ccccccccccc|}\hline x& 4& 5& 6& 7& 8& 9& 10& 11& 12& 13\\ f(x)& 9.429& 9.972& 10.415& 10.79& 11.115& 11.401& 11.657& 11.889& 12.101& 12.295\\ \hline\end{array}$

Is it true that girls perform better than boys in the study of languages and so-called soft sciences? Here are several Advanced Placement subjects and the percent of examinations taken by female candidates in 2007: English Language/Composition, 63%; French Language, 70%; Spanish Language, 64%; and Psychology, 65%. (a) Explain clearly why we cannot use a pie chart to display these data, even if we know the percent of exams taken by girls for every subject. (b) Make a bar graph of the data. Order the bars from tallest to shortest; this will make comparisons easier. (c) Do these data answer the question about whether girls perform better in these subject areas? Why or why not?

Use the following Normal Distribution table to calculate the area under the Normal Curve (Shaded area in the Figure) when $Z=1.3$ and $H=0.05$;
Assume that you do not have vales of the area beyond $z=1.2$ in the table; i.e. you may need to use the extrapolation.
Check your calculated value and compare with the values in the table $[forz=1.3andH=0.05]$.
Calculate your percentage of error in the estimation.
How do I solve this problem using extrapolation?
$\begin{array}{|ccc|}\hline Z+H& Prob.& Extrapolation\\ 1.20000& 0.38490& Differences\\ 1.21000& 0.38690& 0.00200\\ 1.22000& 0.38880& 0.00190\\ 1.23000& 0.39070& 0.00190\\ 1.24000& 0.39250& 0.00180\\ 1.25000& 0.39440& 0.00190\\ 1.26000& 0.39620& 0.00180\\ 1.27000& 0.39800& 0.00180\\ 1.28000& 0.39970& 0.00170\\ 1.29000& 0.40150& 0.00180\\ 1.30000& 0.40320& 0.00170\\ 1.31000& 0.40490& 0.00170\\ 1.32000& 0.40660& 0.00170\\ 1.33000& 0.40830& 0.00170\\ 1.34000& 0.41010& 0.00180\\ 1.35000& 0.41190& 0.00180\\ \hline\end{array}$