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Business Statistics Exam 1.

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Business Statistics Exam 1.

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  • June 23, 2024
  • 6
  • 2023/2024
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Business Statistics Exam 1
What is statistics? - correct answer-Science of gathering, presenting, analyzing, and
interpreting data
Uses math and probability
Convenient, not bias

Branch of Statistics: Descriptive - correct answer-Graphical or numerical summaries of data

Branch of Statistics: Inferential - correct answer-Making a decision based on data

Population - correct answer-The whole
Collection of all persons, objects, or items under study

Sample - correct answer-Gathering data on a subset of the population
Use info about the sample to infer about the population (statistical interference)

Parameter - correct answer-Descriptive measure of the POPULATION
Greek letters

Population parameter/average symbol
(population mean) - correct answer-μ

Population standard deviation - correct answer-σ

Population variance - correct answer-σˆ2

Statistic - correct answer-Descriptive measure of a SAMPLE
Roman letters

Sample mean - correct answer-x̅

Sample standard deviation - correct answer-s
Square root of the sample variance

Sample variance - correct answer-sˆ2
Average of the squared deviation from the arithmetic mean

Nominal - correct answer-Nonparametric (qualitative)
Classifying and counting
Values "name" the attribute
No ordering implied
Ex: gender, religion, ID# on a questionnaire, company tax ID

Ordinal - correct answer-Nonparametric (qualitative)
Ranking is possible for values of the variable

, Same as nominal, but in order (ranking)
Ex: ranking, rating, preference scales

Interval - correct answer-Parametric (quantitative)
Nominal and ordinal rule plus +,-,x,/ (means, standard deviation)
The distance between attributes does have meaning
Numerical data
Difference between numbers, location of origin
Ex: temperature in F, trade balance in money

Ratio - correct answer-Parametric (quantitative)
Nominal, ordinal, and interval rules
There is always a reference point that is meaningful
(0 for rates or 1 for ratio)
Ex: height, weight, volume, profit and loss, revenues, # tickets sold, per capita income

Frequency distribution - correct answer-Summary of data presented in the form of class
intervals and frequencies
Vary in shape and design
Constructed according to individual researchers preference

Steps in frequency distribution - correct answer-1: Determine range of it
2: Determine number of classes (5-15)
3: Determine width of class interval (width can be calculated by dividing range by # of
classes)

Midpoint - correct answer-Number in the middle of each interval
Ex: interval is 1-under3, midpoint is 2

Relative frequency calculation - correct answer-Frequency# / total frequencies

Cumulative frequency calculation - correct answer-First cumulative frequency will equal the
regular frequency number
Cumulative frequency before + new frequency
Ex: Freq: first = 4, second = 12, cumulative freq = 4+12=16

Histogram - correct answer-Vertical bar chart of frequencies
All of the bars are side by side (touching)
Bigger picture

Frequency polygon - correct answer-Line graph of frequencies
Mimic the shape of a histogram
X-axis = class midpoints

Ogive - correct answer-Line graph of CUMULATIVE frequencies
X-axis = class endpoints

Dot plots - correct answer-Plot of individual observations

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