Download Name_____________________ Statistics Unit

Name_____________________
Statistics Unit Review
Types of Sampling
1. A recreational soccer league is considering some rule changes. In order to know how the
players feel, league officials surveyed 2 random players from each team in the league.
What type of sampling method did the league use?
A systematic
B stratified
C cluster
2. You want to conduct a study to determine the average student height at PHS. The
following are possible samples. Determine whether or not the potential sample is unbiased
(fair) or biased (unfair) and the sampling method used.
Unbiased
Biased
Fair
Unfair
Sample
Every 3rd student
a) entering school on
Monday.
b) The basketball team
c)
The entire 9th grade
class
Every 10th person
selected from an
d)
alphabetical list of all
students
e) All girls at PHS
f)
The 1st three students
who report to the
nurse on Monday
Sampling Method
Population vs. Sample
3. A recreational soccer league is considering some rule changes. In order to know how the
players feel, league officials surveyed 2 random players from each team in the league.
Determine the population and sample of the survey.
Distributions, Mean, Median
For 4–7, use the random data sample.
4
10
8
5
6
7
6
2
8
5
6
9
3
6
5
7
4. Make a line plot of the data.
5. Which best describes the shape of the data distribution?
A left-skewed
B normal
C right-skewed
6. What is the mean of the data rounded to the nearest tenth?
________________________________
7. What is the median of the data?
A 5
B 5.5
C 6
Probability (Independent vs. dependent)
8. Two seniors, one from each government class are randomly selected to travel to Washington,
D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the
probability that both Wes and Maureen will be selected.
9. A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive
draws are made from the box without replacement of the first draw. Find the probability of
each event.
a. P(orange first, green second)
b. P(both marbles are purple)
c. P( the first marble is purple, and the second is ANY color EXCEPT purple)
Normal Distribution and Empirical Rule
For 10–11, the test scores for a standardized test are normally distributed with a mean of
68 and a standard deviation of 12.
Create a normal distribution curve for the data.
10. What percent of the scores are between 68 and 80?
11. What percent of scores are above 92?
Drawing Conclusions
12. A teacher wants to know if reducing the amount of time students spend online will improve
test scores. The teacher surveyed 20 random students and found that the students who
spent less time online did do better on their test scores then those who did spend time
online. Can you draw a conclusion that spending less time online improves test scores?
Histograms
13. Construct a histogram to represent the data.
In what interval would the median fall?
What would be a good estimation of the mean? Explain why.
Venn Diagrams & Probability
14. A survey of the reading habits of 500 people found that:
130 read magazines
180 read non-fiction
220 read novels
40 read magazines and novels
20 read magazines and non-fiction
30 read novels and non-fiction
5 read all three
Based on the survey, what is the probability that a person would read none of these?
Based on the survey, what is the probability that a person reads only novels?