1. In a student's French class, the final grade is based on six categories.

The categories, grades, and weights are shown in this table.

Category	Grade %	Weight %
Test 1	64	19
Test2	87	16
Test 3	96	15
Homework	83	6
Semester Project	64	5
Final Exam	80	39

Compute a weighted average to determine the student's overall final grade in the course. Record the overall final grade below as a percentage. Round accurately to two decimal places.

Final Grade________%

2. A student took 5 courses this term. Her transcript showed:

Grade	Number of Credit Hours
C	3
A	3
C	3
A	3
A	4

Grade points are assigned as follows:

A = 4, B = 3, C = 2, D = 1 and F = 0

If the grade points are weighted according to the number of credit hours, calculate the grade point average. Round accurately to two decimal places.

Final Grade: _______%

3. Given the following table of scores, calculate the indicated locator and percentile. Do not round your results

11	13	15	17	20
21	22	23	24	25
26	28	30	33	36
41	45	46	47	49

a) Calculate the locator for the 24th percentile, L24 L24= b) Determine the 24th percentile, P24. P24= c) Approximately, what percent of the scores in a dataset are above the 24th percentile?

4. This data is from a sample. Calculate the mean, range, standard deviation, and coefficient of variation. Round answers to two decimal places.

x

15.8

38.9

27.3

31.6

16.5

31.5

Mean = Range = Standard Deviation = Coefficient of Variation =

5. The five number summary of a dataset was found to be:

-4, 1, 6, 13, 22

a) What is the IQR?

b) Find the lower limit (ie: an observation is considered an outlier if it is below this).

c) Find the upper limit (ie, an observation is considered an outlier if it is above this).

d) Do we have any outliers?yes or no?

6. The amount of commercials in an hour of television varies by channel. The total length (in minutes) of all commercials from 8 pm to 9 pm in for some selected broadcast and cable channels on a weekday evening are shown in the table

times	12	14.75	9	11	11.75	8.5	14.5	14.5	10.75	12.5	4	19

(a) Find the mean of the commercial times. Round to the nearest hundredth. minutes (b) Find the median of the commerial times. Round to the nearest hundredth. minutes (c) Based on the mean and median, would you expect the distribution to be skewed left, symmetric, or skewed right?

• Skewed left
• Symmetric
• Skewed right

7. The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 50 ounces and a standard deviation of 9 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 41 and 77 ounces? % c) What percentage of the widget weights lie below 68 ? % d) Determine how many of the 180 widgets that Acme company manufactured fall within the 68% range? Round to the nearest whole number.

8. The time needed to complete a math examination is bell-shaped with a mean of 90 minutes and a standard deviation of 15 minutes.

a) What percentage of students will complete the exam in 45 minutes or less?

%

b) Assume that the class has 190 students and that the examination period is 120 minutes in length. How many students do you expect will not be able to complete the exam in the allotted time? Round answer to the nearest whole number.

c) A student is classified as extremely "efficient" if the amount of time spent on the exam is the lowest 2.5% for the distribution. What is the upper limit for the time it takes an extremely "efficient" student to finish the exam?

minutes

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