Review Comprehensive Final Exam Math 102

Chapter 4:

A. Be able to group data into intervals for summarizing information.

B. Be able to make histograms from sample data.

C. Be able to find the mean, median and mode of sample data.

D. Be able to find standard deviation and variance of sample data.

E. Know how to read graphs or distributions and interpret them.

F. Know the characteristics of a normal distribution. (There are at least three characteristics)

G. Be able to use a standard normal distribution table to solve word problems.

Review Previous Sections:

6.1 Perimeter and Area, Pythagorean Theorem

6.5 Right Triangle Trigonometry

5.2 Compound Interest

5.3 Annuities

9.1-9.2 Exponential Growth and Decay

2.4 Permutations and Combinations

3.4 Combinatorics and Probability

3.6 Conditional Probability (Page 185 #33 - 36, Page 186 #41 - 44)

Go over Review Guides for Exam 1, 2 and 3 that cover the above types of questions. Go over Quiz problems that have the above sections.

The Final Exam is worth 180 points.

Some Practice problems for Math 102 Final

1. Find the mean, median and mode using the following data: x value frequency

    1. 2
    2. 2
    3. 3
    4. 5
    5. 4
    6. 1

2. The distribution of weights of newborn babies at St. Mary’s hospital is normally distributed with a mean of 7.2 lbs and standard deviation of 1.4 lbs.

Find the probability that a baby born weighs between 6.6 lbs and 7.7 lbs.

Draw the distribution curve shading the area in question.

 

3. Jane’s midterm test scores are: 79, 89, 91, 85. If her final exam is worth three times as much as a regular midterm, what must she get on her final exam to have a mean of 90 in the class?

 

4. Find c if

a) P(z < c ) = .7611 b) P(z > c) = .1292 c) P(-c < z < c ) = .6640

5. Review Practice problems from handouts from previous sections that pertain to sections on the final exam.

6. Review Quiz problems that pertain to sections on the final exam.

Solutions:

1. mean = 2.588 median = 3 mode = 3

2. p(-.43 < z < .36) = .307

3. 95.3 on the Final Exam

4a. c = .71 4b. c = 1.13 4c. –c = -.96, c = .96