Definitions
What is the name of this unit?
Data Analysis
A number cube is labeled from 1 to 6. The cube is rolled 100 times and each outcome is recorded.
Outcome 1 2 3 4 5 6
Frequency 19 15 17 23 21 5
What is the experimental probability of rolling a 3?
17/100
What is the mean for this data set?
3, 5, 14, 23, 60
21
How? Add 3 + 5 + 14 + 23 + 60
105. Now divide 105/5 = 21
Identify any outliers in this data set.
10, 20, 35, 12, 15, 95
95
95 is the biggest number here. All the other numbers are between 10 and 35, a gap of only 25, whereas 95 is a very big number far away from the rest of the data.
What does experimental probability mean and theoretical probability mean?
Experimental probability = the result of an experiment after a large number of tries,
Theoretical probability = what is expected to happen based on possible outcomes
A number cube is labeled from 1 to 6. The cube is rolled 100 times and each outcome is recorded.
Outcome 1 2 3 4 5 6
Frequency 19 15 17 23 21 5
What is the experimental probability of rolling an odd number?
57/100
What is the mode of this data set?
23, 23, 44, 78, 55, 44
23 and 44
23 repeats 2 times
44 repeats 2 times
Identify any outliers in this data set.
17, 44, 37, 242, 88, 43
242
242 is the biggest number here. All the other numbers are between 17 and 88, a gap of only 71, whereas 242 is a very big number far away from the rest of the data.
The word mean is defined as the ___________, and the word mode is defined as the ______________.
Average, most frequently repeated number
A spinner is divided into equal sections. The sections are labeled different colours. The pointer is spun.
What is the theoretical probability of the pointer landing on blue?
3 blue
5 red
3 green
1 yellow
3/12
Arrange the numbers in each set from smallest to biggest.
Find the median.
75, 31, 29, 44, 2
31
Data set in order from smallest to biggest, 31 is in the middle so it's the median
2, 29, 31, 44, 75
When the data represent measures such as clothing sizes, the ________ best represents the data. A store needs to re-stock the sizes that sell the most.
Mode
How is the mean calculated/found/solved for?
By adding all of the numbers together, then dividing by the amount of numbers in the data set
A spinner is divided into equal sections. The sections are labeled 1 to 8. The pointer is spun.
What is the theoretical probability of the pointer landing on an odd number?
4/8 or 1/2
Arrange the numbers in the set from smallest to biggest.
Then find the range.
13, 19, 26, 10, 43
33
Biggest number is 43
Smallest number is 10
43 - 10 = 33
When the numbers in a data set are very different, the _________ is the best average.
Median
The word median is defined as ________, and the word range is defined as ________________
The middle number when the data are arranged in order, tells how spread apart the data is (biggest minus the smallest number)
10 marbles are in a bag.
3 are green
4 are yellow
2 are pink
1 is blue
What is the theoretical probability that the marble is pink?
2/10
What are the formulas for both experimental probability mean and theoretical probability?
Experimental probability = number of times the event occurs / total number of trials
Theoretical probability = number of favourable outcomes / number of possible outcomes
When the numbers in the data set are not very different from each other, the ________ is the best average.
Mean