|
Day 1
Statistics are often given as ratios, as in the statement, "One out of every three students at Central High School has a pet." Give an example of how ratios are used to express statistics in each situation listed below:
- at school
- on the news
- in a magazine
Day 2
Choose one of the examples you used yesterday to create a proportion problem. Write it as a word problem with all of the necessary information. Be sure to provide an answer for your problem.
Day 3
All squares are similar. Do you think that all rectangles are similar? Explain your answer.
Day 4
Explain how you would compare a decimal with a fraction to find out which is lar9er. You may want to use the numbers 5/16 and 0.32 as an example.
Day 5
Tell if each statement is True or False. If false explain why. Show all your work.
- 100% of 50 is equal to 50% of 100.
- 10% of 30 plus 5% of 30 equals 15% of 30.
Day 6
Your teacher made this statement: "When you double any amount, you have 100% more than when you started." Do you agree with this statement? Explain your position and give some examples to support your claims.
Day 7
If you read a newspaper, you will find percents that are used in many different ways. List at least three different real-world uses for percents. For each example, explain why percents are useful in that situation.
Day 8
Joey was the one student who tossed the coin and got heads nine times. Would Joey be correct in concluding that the probability of tossing a head is 0.9 or 90%. Explain.
Day 9
Explain the following statement is made by a TV weather forecaster; "The probability of rain today is 75%." How do you think the value of 75% was determined.
Day 10
For each situation given below, describe an instance in which the study of probability might be useful.
- sports
- business
- weather
Day 11
In a certain game, each person tosses a coin 5 times. If the first player tosses 4 heads in a row1 is the probability of tossing heads again less than, greater than, or equal to 21? Give reasons for your decision.
Day 12
Explain the difference between dependent and independent events. You may want to consider the example of drawing two aces in a row from a deck of cards.
Day 13
How would you explain to someone else why a probability can never be less than 0 or larger than 1?
Day 14
Write a problem that has a solution, "The experimental probability of the event is 45%."
Day 15
Maria had a bag of marbles that contained 4 blue marbles, 3 red marbles, 2 yellow marbles, and 1 green marble. She picked a red marble out of the bag, put it back and then picked a blue marble. After 20 picks, she had chosen a red marble 8 times. She concluded P(red) 0.4. Is she correct? Explain.
Day 16
Write a paragraph describing how probabilities are used in real life. Give specific examples.
Day 17
Give an example of an impossible event and a possible event that can occur when rolling a die.
Day 18
Explain the differences between experimental probability and theoretical probability.