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percentile
a measure that tells you what percentage of the total frequency scored at or below a given value
percentile rank
a percentage of scores that fall at or below a given score
quartiles
values that divide a ranked dataset into four equal parts
First Quartile (Q1)
the median of the lower half of the distribution
Second Quartile (Q2)
the middle value of the entire distribution
Third Quartile (Q3)
the median of the upper half of the distribution
Which quartile is the 25th percentile in?
First Quartile
Which quartile is the 50th percentile in?
Second Quartile
Which quartile is the 75th percentile in?
Third Quartile
interquartile range (IQR)
the spread of the middle 50% of the data
formula for IQR
Q3-Q1
range
the difference between the max and min
formula for range
max-min
five number summary
the core components required to build a boxplot
what are the components to the five number summary?
min, max, Q1, Q2, Q3
outliers
measurements that are very different from the rest of the data
whiskers
dashed lines that plot the range of the data
right skewed
tail stretches to the right and the median is closer to Q1
symmetric skewness
balanced evenly, median is centered between Q1 and Q2
left skewed
tail stretches to the left, median is closer to Q3
68-99-99.7% rule
68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations
analytics
a process that examines data using a variety of statistical tools to discover, interpret, communicate, and apply meaningful pattens toward effective decision making in the business workplace
data literacy
the ability to read, understand, and interpret data types and data collection methods, and then accurately communicate data to drive informed business decisions
descriptive analytics
using historical data to summarize past and current events, directly answering the question “what happened?”
diagnostic analytics
goes beyond descriptive analytics by digging into root causes, patterns, and relationships between variables. determining “why did this happen?”
predictive analytics
examines data to discover and predict what might happen in the future
prescriptive analytics
studies data to determine and recommend the next best actions
business problem
identifying what is being investigated because a business needs to make money or address a specific problem
business problem guidelines
must address the objective, focus on one topic, be measurable, have obtainable data
data collection
process of gathering, measuring, and recording information to analyze performance, answer specific business questions, and guide strategic decision making.
actional business decisions
using presentation tools (tableau dashboards, reports, graphs) to tell an accurate story and drive business actions
quantitative
numerical data that can be measured
continuous data
quantitative data that can take on any value within a range
example of continuous data
weight, height, time
discrete data
quantitative data that consists of separate, countable whole numbers
example of discrete data
number of children, number of items purchased
qualitative data
data that is non numerical. used to describe things and categorize based on traits or characteristics that can be counted.
nominal data
qualitative data where there is no meaningful ordering of categories
example of nominal data
gender, car color, product names
ordinal data
qualitative data where order does matter
example of ordinal data
class rank: freshman, sophmore, junior senior
is a product name/brand qualitative or quantitative?
qualitative
is a customer review rating of 4 stars quantitative or qualitative?
quantitative
is price ($19.97) quantitative or qualitative?
quantitative
point of sale
accepts customer payments and tracks sales and inventory for online or physical stores
clickstream data
tracks a users navigation behavior and the pathway/clicks they take through an online website or search engine
social media data
captures a users interactions, opinions, thoughts, and virtual network sharing.
sensor data
uses a device that detects environmental changes and converts them into a measurable digital signal.
confidential
identification is coded but the real identity is known by someone in charge
anonymous
no identification is known by anyone
population
the endite group of individuals or items you want information about
sample
a smaller subset of the population actually collected to analyze and draw conclusions/inferences about the whole population
random sampling rule
choosing a sample so that everyone in the population has an equal chance of being chosen
biased samples
if you don’t use random sampling your data favors certain outcomes
convenience sampling
selecting people/things just because they are easy or readily available
voluntary response sampling
self selected sample where people choose to participate (usually because they have a strong opinion)
what causes undercoverage and why?
biased sampling methods because everyone in the population was ever on the list to be considered.
what sampling methods are biased?
voluntary and convenience
simple random sampling (SRS)
every individual has an equal chance, and every group of size n has an equal chance of being selected
stratified random sampling
divide the population into non overlapping groups called strata (based on a specific characteristic like gender, class rank, age group), then take a random sample from every single group
what error occurs if your strata doesn’t relate directly to your business problem?
measurement error
systematic sampling
make a list of the population, pick a random starting point, and then sample every nth element (every 10th car, every 5th product off a manufacturing line)
multi stage cluster sampling
divide the population into clusters (groups), randomly select whole clusters and sample everyone inside those chosen clusters.
what sampling method is often followed by a stratified step to rescue lost characteristics?
multi stage cluster
what sampling methods are unbiased?
simple random, stratified, systematic, multi stage cluster