Z-Score/Percentiles
Density Curve
Empirical Rule
General Knowledge
100
The equation to find z-score
What is (x-mean)/(standard deviation)
100
The balance point of a density curve
What is mean
100
The Empirical Rule says given normal distribution approximately ___% of all obserations fall within one standard deviation of the mean
What is 68%
100
What is the only mammal that cannot jump.
What is an elephant
200
The z-score for x=25 given approximately normal distribution with mean 32.5 and standard deviation 5.5
What is -1.36
200
In a symmetric density curve these two things are the same.
What is mean and median
200
Given an approximately normal distribution, ____% of all values are above the mean.
What is 50%
200
The largest ocean on earth.
What is the pacific ocean
300
The pth percentile of a distribution is the value with p percent of the observations _________ it.
(less than, equal to, greater than)
What is less than
300
The mean of a density curve skewed left is pulled towards this side
What is left
300
Given approximately normal distribution with a mean 35 and standard deviation 5, approximately 99.7% of all values are contained in this interval.
What is 20<x<50
300
This country consumes the most chocolate per capita.
What is Switzerland
400
Another word for z-score
What is standardized score
400
The total area under the density curve
What is 1
400
Approximately what percent of values lie within 2 standard deviations below the mean and 1 standard deviation above of the mean
What is 81.5%
400
The amount of minutes in a year.
What is 525,600 minutes
500
Many athletes (and their parents) worry about the risk of concussions when playing sports. A football coach plans to obtain specially made helmets for his players that are designed to reduce the chance of getting a concussion. Given are the measurements of head circumference (in inches) for the players on the team.
What is the head circumference for the player at the 90th percentile of the distribution?
What is 24 inches
500
A special density curve that is symmetric, single-peaked, and bell-shaped
What is a normal curve
500
Approximately _____% of values are greater than 2 standard deviations above the mean given approximately normal distribution
What is 2.5%
500
The driest continent on Earth
What is Antarctica