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Describing Distributions

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Describing Distributions

Bimodal

Unimodal

Multimodal

Uniform

Bimodal

- height(M & F)

Unimodal

- test scores

Multimodal

- favorite numbers

Uniform

- # pencils manufactured each day at factory

MODE

- data value repeated most
- seen as humps in a histogram

MEDIAN

- middle number of all data values when ordered ascending or descending
- NOT affected by value of data
- Divides histogram into equal areas

MEAN

- arithmetic average
- IS affected by value of data
- the “balancing point” of the histogram

Pronounced “y-bar”

Nominal – categorical data with no rank (i.e. sex, race, hair color)

Ordinal – categorical data with ranking (i.e. level of education, economic status)

Interval – quantitative data

STANDARDDEVIATION

- use with symmetric distribution

RANGE

- = max – min
- good to mention for many distributions

IQR

- = Q3 – Q1
- use with skewed distribution
- sometimes good to mention with symmetric distribution

Variance:

Standard Deviation: