Chapter 2 Measures of Location and Spread (AS) Flashcards

1
Q

Mean of ungrouped data

A
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2
Q

Calculator Mean Screen

A

Menu -> 6 -> 1

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3
Q

Mean of Frequency Tables

A
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4
Q

Mean for Grouped Data

A

Same thing but use midpoints

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5
Q

Mean is affected by…

A

extreme values

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6
Q

How to find the median of grouped data?

A

find n/2 then use linear interpolation

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7
Q

Median isn’t affected by..

A

extreme values

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8
Q

How to find position of the median for listd data?

A

n/2
- If decimal round up
- If whole, use halfway between this item and the one after

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9
Q

Linear Interpolation Formula

A

Median = Start Value + Fraction from top x class width of bottom

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10
Q

How to turn items into True Class Limits?

A
  • lower bound minus 0.5
  • upper bound plus 0.5
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11
Q

Lower Quartile

A

1/4 x n

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12
Q

Upper Quartile

A

3/4 x n

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13
Q

Quartiles

A

Splits the data up into quarters

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14
Q

Percentiles

A

Splits the data up into hundredths

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15
Q

Deciles

A

Splits the data up into tenths

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16
Q

Interquartile Range

A

Upper Quartile - Lower Quartile

(Q3 - Q1)

17
Q

What are the three measures of central tendency?

A
  • Mean
  • Median
  • Mode
18
Q

What are the other measures of location?

A
  • Miniumum
  • Maximum
  • Quartiles
  • Percentiles
  • Deciles
19
Q

What are the four measures of spread?

A
  • Range
  • Interquartile Range
  • Standard Deviation
  • Variance
20
Q

Why do we favour the interquartile range over the range?

A

Because the IQR ignores the extreme values and concentrates on the middle 50%.

21
Q

Variance takes into account..

A

all the values (including the extremes)

22
Q

Variance

A
23
Q

Standard Deviation

A
24
Q

Other Variance formulae

A
25
Q

Summary of coding:

A
  • Measures of LOCATION are affected by ALL parts of coding
  • Measures of SPREAD are only affected by multiplicative parts of coding