Box & Whisker
Data Analysis
Probability
Thoeretical vs. Experimental
Independent Probability
100
What is the 5 number summary?
Minimum, Lower Quartile, Median, Upper Quartile, Maximum
100
A cell phone company wanted to survey its customers to see how satisfied they were with the service. They placed an add on television and surveryed the first 100 callers. What type of survey is this- systematic, convenience, voluntary, or random?
Voluntary Sample- the callers are choosing to call in their response
100
What is the probability of rolling a prime number on a single number cube?
1/2 - prime numbers are 2,3, and 5 out of 6 total numbers. The fraction must be simplified
100
Heather poured a small amount of Skittles from a large bag into a cup. She coutned the number of each flavor she had in the cup. Her answers were as follows: 4 lemon, 3 lime, 6 cherry, 3 grape, and 4 orange. Can i find experimental or theoretical probability from this set of data?
Experimental probability- she is actually conducted an experiment by dumping out a portion of the bag and not the TOTAL bag
100
What is the probability of flipping a heads and a heads on 2 flips of a fair coin?
1/4 (1/2 x 1/2)
200
Find the median of the following numbers 6 10 5 4 8 13 11
8
200
To find out how much time middle school students spend on the telephone each day, members of Mrs. Stines' eighth grade kept a record for a week of the amount of time they spent on the phone each day. What is the population being studied? What type of sample is being used?
Population- middle school students This is a convenience samples as only the students in the class are keeping track of the time on the phone.
200
A restaurant has the following menu: Appetizers Entres Desserts Chips & salsa Steak Ice cream Chicken wings Chicken Cheesecake Soup Pork Cookies Salmon Chocolate Cake Salad Use the fundamental counting principle to determine the total number of options for a 3 course meal.
60 (3 x 5 x 4)
200
A restaurant has the following menu: Appetizers Entres Desserts Chips & salsa Steak Ice cream Chicken wings Chicken Cheesecake Soup Pork Cookies Salmon Chocolate Cake Salad Is finding the probability a person would chose a salad as their main entre from this given data an experimental or theoretical probability?
Theoretical- we are given the total number of options. We are not conducting an experiment.
200
The number cube lands on a 1 and a coin lands on a heads. Find the probability.
1/12 (1/6 x 1/2 = 1/12)
300
A baseball team scores the following runs in each of their season games 5 7 0 1 3 1 5 4 2 2 0 1 1 Find the Inner Quartile Range (IQR)
3.5 Median=2 Lower Q= 1 Upper Q= 4.5 so... 4.5-1 = 3.5
300
Describe a random sample method that a cell phone company could use to survery its customers on their satisfaction with the service.
Answers will vary
300
A spinner has 8 equally likely outcomes. Four outcomes are the number 1, three outcomes are the number 2, and one outcome is the number 3. Find P(2 or NOT 1).
7/8 (3/8 + 4/8 = 7/8) 3 out of 8 options are 2 and 4 out of 8 options are not 1.
300
Stacy rolled a die 60 times and recorded her results. She rolled a 6 nine times. What is the experimental probability of Stacy rolling a 6? Is this probability close to the theoretical probability? Explain.
Experimental probability: 3/20 (9/60 divided by 3 = 3/20) Yes, this is close the theoretical probability of rolling a 6, which is 1/6 because 1/6 = 10/60 and Stacy was only 1 off from that with 9/60.
300
A bag contains 6 red, 9 blue, and 7 green marbles. Find the following probability of drawing two marbles with replacement. P(red, red)
9/121 (6/22 x 6/22 = 36/484 divide by 4 = 9/121)
400
Should a teacher immediately call for remediation for the whole class if the first two test he/she scores are below a 60%? Explain
No- a sample size of 2 is not enough data to make any conclusions.
400
Find the mean test score. 85%, 78%, 62%, 100%, 92%, 76%, 45%, 89%, 92%, 100%, 58%, 97%, 97%, 85%, 88%, 80%, 78%, 94%, 75%, 80%
82.55 1651/20
400
A restaurant has the following menu Appetizers Entres Desserts Chips & salsa Steak Ice cream Chicken wings Chicken Cheesecake Soup Pork Cookies Salmon Chocolate Cake Salad What is the probability that someone will NOT choose cheescake as their dessert option?
3/4 (3 out of the 4 desserts are NOT cheesecake)
400
Heather poured a small amount of Skittles from a large bag into a cup. She coutned the number of each flavor she had in the cup. Her answers were as follows: 4 lemon, 3 lime, 6 cherry, 3 grape, and 4 orange. If there were 100 skittles in the actual bag, how many lime skittles would you expect to find?
15 3/20 = x/100, so x=15
400
A number cube lands on 2 or 3 and then in a second throw lands on an even number. Find the probability.
1/6 (2/6 x 3/6 = 6/36 = 1/6)
500
The following are scores from Mr. Sim's math class. 85%, 78%, 62%, 100%, 92%, 76%, 45%, 89%, 92%, 100%, 58%, 97%, 97%, 85%, 88%, 80%, 78%, 94%, 75%, 80% Find the 5 number summary of Mr. Sim's math class and graph it on a box and whisker plot.
Minimum- 45% Lower Quartile- 77% Median- 85% Upper Quartile- 93% Maximum- 100%
500
Students at Banneker Middle School were asked how much time they spent doing homework last Monday night. The results are show in this stem and leaf plot 0| 0 1| 0 5 5 2| 0 0 0 5 5 5 5 3| 0 0 0 0 5 5 5 4| 0 0 0 5 5 5 5| 0 5 6| 0 5 5 7| 5 8| 0 Find the median.
35 minutes
500
The computer repair specialist is given eight comupters to fix. He knows that among them are four bad video cards and two failed hard drives. What is the probability that the first on ehe tries has a bad vieo card or two failed hard drives?
3/4 (4/8 + 2/8 = 6/8 divide by 2 = 3/4)
500
Heather poured a small amount of Skittles from a large bag into a cup. She coutned the number of each flavor she had in the cup. Her answers were as follows: 4 lemon, 3 lime, 6 cherry, 3 grape, and 4 orange. How many cherry falvored skittles have to be added for the probability of picking a cherry to be 1/2?
8 6/20 + 8/8 = 14/28 = 1/2
500
In a bag of skittles there are 8 lemon, 6 lime, 12 cherry, 6 grape, and 8 orange. Find P(grape, NOT cherry).
21/200 (6/40 x 28/40 = 168/1600 divided by 8 = 21/200)
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