Locations in a Distribution
The percent of distribution that is below the value of the observation.
What is Percentile?
z-score: -1.56
.0594
Calculate z score: x = 55, μ = 47, σ = 6.5
1.23
What percent of values are between -1σ and 2σ?
What is 81.5%
A graph that shows the accumulating percent of observations as you move through the classes in increasing order.
What is a Cumulative Relative Frequency Graph?
The number of standard deviations away from the mean.
z-score: -0.13
.4483
Calculate z score: x = 175, μ = 191, σ = 9.25
-1.73
What percent of values are smaller than the value that is -1σ away?
What is 16%
This type of transformation to the data DOES NOT change the range or the shape, it just shifts the data one way or the other.
What is addition or subtraction?
The official term for the average value of the data.
What is the mean?
proportion: 0.9251
z-score: 1.44
Calculate z score: x = 1,500, μ = 1,725, σ =187
-1.20
What percent of values are outside 2σ from the mean?
What is 5%
Jackie scored better than 10 students out of her 25 student class. What percentile is Jackie in?
What is 68%?
60.64%
z-score: 0.27
Calculate the value of the observation: z-score = -1.63, μ = 47, σ = 6.5
36.4
What percentile would a value at 1σ be in?
What is the 84th percentile
This feature of the distribution will NOT change when multiplying a data set by a positive constant.
What is the shape?
The percent of values that fall outside the second deviation on either side of the mean.
What is 5%?
% to the Right of z-score 0.68
28.43%
Calculate the value of the observation: z-score = 2.31, μ = 166, σ = 7.25
182.75
What percentile would a value at the -2σ be in?
What is the 2.5th percentile
In a set of data that is skewed left, this is the direction that the mean will be compared to the median.
What is left?