Box and Whisker Plots
How spread out the data is from the mean.
What is the standard deviation?
Find the median in the set of data: (1, 6, 5, 3, 8, 19, 2, 120, 1)
What is 5?
The scores are normally distributed with a mean of 100 and a standard deviation of 15.
a. What percent are between 55 and 145?
b. What percent are between 70 and 115?
a. 99.7%
b. 81.5%
A type of observational study that gathers data by asking people a number of questions.
What is a sample?
Small standard deviations/variances means what about the measure of dispersion?
It means all of the data values are close to the mean/median.
Find the mean: (23.2, 54.9, 35.1, 72.4, 50.9)
What is 47.3?
On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's actual score of 92, what is their z-score?
1.714
A random group of students is chosen and asked to shoot a series of baskets using a regulation normal-colored basketball. The data is recorded. The same group is then given a blue colored basketball and the same number of shots is repeated. The data is again recorded. A statistical analysis is performed.
What is an experiment?
Find the Mode and the median: (22, 1, 4, 42, 54, 1, 2, )
What is 1 and 4?
Your teacher tells you that the mean score for a test was a 70 and that the standard deviation was 7 for your class.
You are given that the z-score for your test was 2.5. What did you score on your test?
87.5
In an attempt to investigate this possible correlation, a group of students who took the SAT Examination are surveyed. The scores from students who took an SAT Prep class are compared with the scores of those that did not take an SAT Prep class. A statistical analysis is performed on the data.
What is an observational study?
Find the median and the range of this set: (4, 6, 2, 3, 3, 1, 7, 19)
What is 3.5 and 17?
A large group of test scores is normally distributed with mean 78.2 and a standard deviation of 4.3. What percent of the students scored 85 or better (nearest whole percent)?
What is 6%?
A guidance counselor did a survey on how many seniors planned to go to college. There are a total of 300 seniors at the school. Her results are that 60 plan to go to college and 20 do not plan to go to college.
a. Identify if the data is categorical or quantitative?
b. What is the population?
c. What is the sample?
What is IQR - 1.5(Q1) IQR + 1.5(Q3)
What are the minimum, first quartile, median, third quartile, and maximum for: (1, 4, 14, 21, 14, 9, 7, 6, 15)
What is... Min = 1 Q1= 5 Q2 = 9 Q3 = 14.5 Max = 21
Find the mean, median, mode, and range for: (1, 4, 14, 21, 14, 9, 7, 6, 15).
What is... Median: 9 Mean: 10.1 Mode: 14 Range: 20
The salaries of employees at XYZ Corporation follow a normal distribution with mean 60,000 and standard deviation 7,500. What proportion of employees earn approximately between 69,000 and 78,000?
0.107
A guidance counselor did a survey on how many seniors planned to go to college. There are a total of 300 seniors at the school. Her results are that 60 plan to go to college and 20 do not plan to go to college.
d. What is the variable of interest?
e. What is the parameter?
f. What is the statistics of interest?
d. Whether or not students go to college
e. p = proportion of seniors that are going to college = unknown
f. P^ = proportion of the sample: 60/80 = 0.75