1. Shirley's parents are taking her to New Orleans for 5 days. At the time of year that they are going, the probability of rain on any given day is 20%. What is the chance that they will not have rain for the entire trip? ( 8 points )
2. A prisoner is given 10 white balls and 10 red balls and 2 boxes. He is told that his fate depends on the color of the ball picked from one of the two boxes. If it is red then he goes free. If it is white then back to the slammer. Each box has an equal chance to be picked and then a ball is picked at random. However, the prisoner can place the balls into the two boxes. How should he arrange the 20 balls in the two boxes and what is his chance of going free? ( 8 points )
3. How many rectangles can be drawn on the below square lattice? ( 8 points )
4. If you have a 3 minute timer and a 5 minute timer, describe how to measure a 7 minute period. Show the detail including the beginning and end of the 7 minute period, how you set it up, and how you proceed. ( 8 points)
II. TRUE/FALSE. ( 2 points each )1. A kite is a paralellogram.
2. Any two diagonals of a regular polygon intersect inside the polygon.
3. An equilateral triangle is an isosceles triangle.
4. Any two distinct lines in a plane either intersect in a point or are parallel.
5. A square is a rhombus.
6. Centi is the metric term for 100.
7. Any kite is a quadrilateral.
8. A jigger is greater than a gill.
9. Killo is the metric term for 1000.
III. DEFINITIONS. ( 4 points each )1. Trapezoid
2. Variance
3. Mode
4. Simple closed curve
5. Convex figure
6. Scalene triangle
7. Mean
IV. FILL IN THE BLANKS. ( 3 points each )1. Two angles the sum of whose measures is 180 degrees are called ___________.
2. The most common value in a set is called the ____________.
3. A scalene triangle is one which _________.
4. There are ____________ diagonals in a pentagon.
5. A regular quadrilateral is called a _______________.
6. A paralellogram that is a kite is a ______________.
7. A rectangular rhombus is called a _______________.
8. The largest dry measure of volume is a ______________.
V. CONCEPTS.1. Draw all of the lines of symmetry for this regular pentagon. ( 2 points )
2. This spinner is to spin once.
a) List the sample space. ( 3 points)
b) P(Red)? ( 2 points)
c) P(White)? ( 2 points)
d) P(Blue)? ( 2 points)
3. (6 points)
4. Given the following set of data:
{ 2,2,2,3,3,3,4,4,4,5,5,6,7,7,7,7,8,9,9,9 }a) Determine the mean. (3 points)
b) Determine the median. ( 2 points)
c) Determine the mode. ( 2 points)
d) Draw a box and whisker chart for the data. ( 4 points)
5. When 100 students took a test the mean score was 92.3. Two students took a makeup. The mean of their two scores was 77. What is the combined mean of the two sets of 102 scores? ( 4 points)
6. If possible, give a set of data where the mean equals the mode and the mode is less than the median. If it is not possible, explain why. ( 3 points )
7. If you are constructing a pie chart for data where 40% of the data is Red, what is the central angle for Red? ( 3 points )
8. For data which is normally distributed, what portion of the data is between the median and two standard deviations above the median? ( 3 points )
9. Draw a box and whisker chart for a set of data with the following characteristics:
mean10 | median | 12
| mode | 9 | range | 6-20
| Std. Dev | 4 | Quartiles | 10 & 16
| |
1. Use the following stem and leaf diagram.
Ages of Presidents at Death.
4 | 6 9
| 5 | | 3 6 7 7 8
| 6 | | 0 0 3 3 4 4 5 6 7 7 7 8
| 7 | | 0 1 1 1 2 3 7 8 8 9
| 8 | | 0 3 5 8
| 9 | | 0 0
| |
a) What was the oldest age at death for a president? ( 2 points)
b) What was the youngest age at death for a president? ( 2 points )
c) What was the median age at death? ( 4 points)
2. Consider a regular 16 sided polygon. Find the following angles. (3 points each)
a) Central Angle
b) Vertex Angle
3. A triangle is made up of 11 toothpicks of equal length. If each side is made up of an integer number of toothpicks find ALL possible solutions. ( 4 points)
4. Compute the variance for the following data { 3, 6, 9, 12, 15 }. ( 4 points )
5. What is the median for the following set of data? { 3, 5, 8, 7, 2, 4, 8, 3, 1, 5, 2 } ( 3 points )
6. The mean height of a class is 134.7cm. T total of the heights for the class is 3771.6 cm. There are 17 girls in the class. How many boys are in the class? ( 4 points )
7. What is the probability of getting a sum of 5 when rolling a pair of fair dice? ( 4 points )
8. What is the mean for the following set of data? { 3, 5, 8, 7, 2, 4, 8, 3, 1, 5, 2 } ( 3 points )
9. For the following set of data compute these values.
{ 3, 8, 10, 7, 1, 3, 8, 5, 8, 3 }
a) Mean (3 points)
b) Median (3 points)
c) Variance ( 4 points )
d) Standard Deviation ( 2 points )
10. Consider a regular 12 sided polygon. How many diagonals does it have? (4 points)