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STATS VOCAB TEST 1

TermDefinition
statistics science of collecting, organizing, analyzing, and summarizing data to answer questions and draw conclusions
data another word for information
population entire group being studied (unlimited, specific)
sample any subset from the population (as large as possible, as unbiased as possible)
parameter data collected and analyzed from a population, a measure
statistic data collected and analyzed from a sample
descriptive statistics (branch 1) consists of collecting and organizing data to describe what is seen
inferential statistics (branch 2) uses methods of analysis and probability to take results from a sample and extend them to answer questions about a population and a future
variable any characteristic of the population that can take on a random outcome
ordinal variable those with a natural order ex:letter grades
nominal variable those with no order ex: hair color, brands
quantitive statistics those that are numerical ex: age, height, weight, how many of something
discrete variables those that are countable
continuos variables those that are uncountable ex: height, temperature, blood pressure - note that these are usually tedious and resorting straight to a graph is usual
observational study a researcher merely observes what is happening to answer questions (no manipulation)
hawthorne effect do we change our behavior when we know we are being studied/watched?
experimental study a researcher manipulates and looks to see how this affects other variables
lurking variables those that effect the outcome of an experiment, but arent being studied by the researcher
qualitative variables those that can be arranged into categories ex: hair color, martial status, brands, letter grades
raw data merely collected data with no order or arrangement
frequency distribution a table that arranges data into class with their frequency (NOMINAL DATA) ex: blood type
pareto chart bar graph with bars in decending order of frequency
pie chart circular graph with classes represented as wedges of the circle
bar graph bars in class order (ORDINAL DATA)
dot plot number line with data representing data value
grouped classes used when the data values vary to much, open ended classes help to summarize the data
cumulative frequency (c.f) the accumulation of frequencies as we go down the table
histogram bar graph for continious data in which bars are arranged according to the number line
stem and leaf plot a vertical graph that cuts the data value into two pieces
truncate to cut off without rounding ex: 3120- 31 4210- 42
open ended class this is a class that includes more than one value, or an open ended value open to both the low and high end ex: 7+ or 3+
grouped frequency distributions uses classes of grouped intervals of data
cumulative frequency this is the sum of frequencies as we go down the table (note that you would not use this for categories)
histogram shapes 1. bell shaped 2. uniform 3. skewed (to the left or the right) 4. bimodal 5. U shaped
measure any calculation performed on a data set
measures of central tendency calculates the center of a data set
mean (arithmetic average)- the sum off all data values / the total number of data points
median middle value when the data is in order
mode value that occurs most often (can be 0, 1, or more) ex: "the average hair color is brown"
midrange quick measure of the sum of the high and low divided by 2 (old method)
weighted mean used when different data values have different levels of importance ex: GPA
percentiles cut a data set into 100 equal intervals ex: 43rd percentile means that the data value is above 43% of other values, and below 57% of all other values
quartile cut a set of data into 4 equal intervals
5 number summary includes the datas (in order) low, Q1, Q2, Q3, and the high ex: 1, 2, 2, 5, 6, 7, 8, 8, L- 1 Q1- 2 Q2- 5.5 Q3- 7.5 H- 8
z scores a measure that shows a data values distance away from the mean (used when comparing unrelated data)
measures of position these measures compare 1 data value to the rest of the set
outlier an extremely high or low data value compared to the rest of the set (sometimes an oddball or mistake)
range measure of variation that is found by subtracting the low value from the high value
variance the mean of the squared distances of the data value fall away from the mean
standard deviation squared root of the mean, of the squared distances of the data value, away from the mean
chebyshevs rule for any set of data, at least (1-1/k2)100%, of the data values will fall within k standard deviations of the mean
empirical rule (ONLY BELL SHAPED DATA) 68, 95, 99
measures of correlation you have two sets of data. Is there a relationship? 1st variable- x (independent or explanatory, variable being manipulated) 2nd variable- y (dependent or resultant variable)
scatter diagram xy graph that plots each pair of data values as points to look for a pattern types: positive linear, negative linear, non linear, none
correlation coefficient measure of the linear strength of the relationship between 2 variables
least square regression line this is the line of best fit for representing the correlation of the data
Beyond The Scope of Study the study represents a curtain sample of people and data, the correlation should not be extended too far beyond them, do not extrapolate too much!)
Created by: user-1765866
 

 



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