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1

Mean

The average of a data set: (x1 + x2 …+ Xn)/n

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Median

the middle value of a set of numbers

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3

Mode

the most frequently occurring number found in a set of numbers.

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4

Five number summary

The minimum.

Q1 (the first quartile, or the 25% mark).

The median.

Q3 (the third quartile, or the 75% mark).

The maximum.

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5

First quartile

the value under which 25% of data points are found when they are arranged in increasing order

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6

Third quartile

the value under which 75% of data points are found when arranged in increasing order

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7

Interquartile range

measures the spread of the middle half of your data: IQR = Upper Quartile – Lower Quartile = Q3 – Q1

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8

Standard Deviation

A measure of the amount of variation or dispersion of a set of values:

σ=√((∑〖(x_i-μ)〗^2 )/N)

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Variance

measures variability from the average or mean: (∑〖(x_i-x)〗^2 )/ (n - 1)

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10

Outliers

An observation that lies an abnormal distance from other values in a random sample from a population.

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11

Boxplots

a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum

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12

Dot plots

visually groups the number of data points in a data set based on the value of each point

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13

Stacked dot plot

a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins

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14

Histograms

a graph that shows the frequency of numerical data using rectangles

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15

Relative histograms

uses the same information as a frequency histogram but compares each class interval to the total number of items

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16

Bin width

the data is graphed in groups of 1 sec times

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17

Modality

describes the number of peaks in a dataset

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18

Unimodal

a probability distribution which has a single peak

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19

Bimodal

Distribution has two peaks

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20

Multimodal

a probability distribution with more than one mode

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21

Skewed right

the long tail is on the right side of the distribution. The higher side is on the left side

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Skewed left

the long tail is on the left side of the distribution. The higher side is on the right side

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23

Symmetric

two sides of the distribution are a mirror image of each other

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24

Uniform

a type of probability distribution in which all outcomes are equally likely

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25

Contingency table

a type of table in a matrix format that displays the (multivariate) frequency distribution of the variables.

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26

Bar plots

The pictorial representation of data, in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data

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27

Stacked bar plots

a form of bar chart that shows the composition and comparison of a few variables, either relative or absolute, over time

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28

Side by side bar plots

used to display two categorical variables

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29

Standardized Stack bar plots

a type of bar graph that represents the proportional contribution of individual data points in comparison to a total

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30

Segmented bar plots

used to compare two or more categories by using vertical or horizontal bars

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31

Side by side box plots

a visual display comparing the levels (the possible values) of one categorical variable by means of a quantitative variable

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