Data Flashcards

1
Q

What is x bar and how is it calculated

A

It is the mean of the data

Sum of x over n

Or sum if f over f in grouped data

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2
Q

In listed data how do you calculate the position of the 3 quartiles

A

Lower - take number of data and divide by 4

Median - take data and divide by 2

Upper - multiply n by 3 and divide by 4

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3
Q

What do you do if you get a decimal or a whole number when calculating quartile position for listed data

A

Decimal - round up

Whole - find midpoint with next number

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4
Q

How do you calculate the quartile position in grouped data

A

Same as listed data n/4 etc

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5
Q

How do you find percentiles in grouped data

A

Multiple decimal of percentage by n

Ie 57th is 0.57 x n

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6
Q

How do you find deciles in grouped data

A

D3 is 0.3 multiplied by n

Based on how much percent

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7
Q

How do you do linear interpolation

A

Find group it lies in using cumulative frequency

Calculate fraction you need to go along multiplied by class width

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8
Q

What is the interquartile range, what is an advantage of it

A

Q3 take away Q1

Ignores extreme values

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9
Q

How do you calculate interpercentile range

A

10th to 90th is

P90 - P10

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10
Q

What is relation between variance and standard deviation

A

Variance is the standard deviation squared

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11
Q

How do you draw a box plot from a cumulative frequency graph

A

Draw the 3 quartiles and the top and bottom value

Min Q1 Q2 Q3 and maximum

And then outliers on end

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12
Q

How do you calculate an outlier

A

Q1 - 1.5 X IQR

Q3 + 1.5 X IQR

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13
Q

When do you use histograms

A

For continuous diagrams

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14
Q

How do you calculate frequency density

A

Frequency / class width

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15
Q

If you are asked to compare 2 histograms, what 2 comparisons do you make

A

1 measure of location ( quartiles etc)
1 measure of spread

Context

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16
Q

What values can r vary between

A

-1 and 1

17
Q

What does r measure

A

The strength and the positivity / negativity of the correlation

18
Q

What is a regression like

A

Line of best fit

19
Q

What are regression lines in the form of and what do they mean

A

Y = ax + b

A is y when x = 0

B is how much y changed with x

20
Q

What is an interpolation

A

Estimating inside the data range
(More reliable)

21
Q

What is extrapolation

A

Estimating outside the data range
(Not reliable)