STATISTICS Flashcards

1
Q

is a single value that attempts to describe a set of data by identifying the central position within that set of data.

A

A measure of central tendency

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2
Q

3 MEASURE OF CENTRAL TENDENCY

A

MEAN MEDIAN MODE

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3
Q

2 KING OF MEAN!

A

SAMPLE MEAN= x̄
AND
POPULATION MEAN = μ

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4
Q

BIMODAL MEANS

?

A

2 MODES

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5
Q

is a dispersion of a set of data point around the mean value

A

VARIANCE

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6
Q

THE SQUARE ROOT OF THE VARIANCE

A

STANDARD DEVIATION

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7
Q

WHAT IS USUALLY USED WHEN COMPARING DATA

A

COEFFICIENT OF VARIATION

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8
Q

VARIANCE FORMULAE

A

σ^2= nΣ(i=1) [(Xi-μ)^2/n] =POPULATION variance

s^2= nΣ(i=1) [(Xi-x̄)^2/(n-1)] =SAMPLE variance

Xi= observed/sample values
n= total number of observations/sample
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9
Q

COEFFICIENT OF VARIATION FORMULA

A

population COV= σ/μ

Sample COV= s/x̄

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10
Q

STANDARD DEVIATION FORMULAE

A

σ= √(σ^2) = population Standard deviation

s= √(s^2) = sample standard deviation

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11
Q

characteristic of each of the 3 measure or variability

A

variance= most common in measuring data dispersion

standard deviation= most common in measuring variability for a single data set

coefficient of variabilirty= most common in comparing data

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12
Q

in measuring location of data, dviding order data into hundredths will give us the _____, while dividing ordered data in quarters will give us the ____

A

percentile ranking

quartile ranking

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13
Q

a number where certain percentages of scores fall below that number

A

PERCENTILE

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14
Q

FORMULA FOR THE PERCENTILE OF A VALUE IN A DATA SET

A

k= (x+ .5y)/n x100

x= the number of data values counting from the bottom of the data list up to but not including the data value for which you want to find the percentile.

y=the nunber of data values equal to the data of which you want to find the percentile

n= total number of data

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15
Q

how to solve of STANDARD DEVIATION IN YOUR CALCU?

A

MODE- STAT- (1-VAR) - INPT TABLE - AC

SHIFT - STAT - VAR - xσ

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16
Q

FORMULA FOR FINDING THE RANKING/POSITION OF DATA IN A SET, GIVEN ITS PERCENTILE RANKING.

A

i = [k/100] (n+1)

i= position/ranking

  • if (i) is non-integer, get the average of the rounded up and rounded down value in the data set.
17
Q

a group of values and/or mean that is divide a data set by quarters or group of fours

A

QUARTILE

QUARTILE IS A VALUE! unlike quarter

18
Q

differentiate the quartile with quarter.

A

quartile is a value, while quarter represent the group of data that is a fourth of the set.

  • in a pizza, quarter represent the 1/4 of the whole, while quartle represent the cut/ending of the first quarter and beginning of the next quarter.
19
Q

difference between an upper quartile value and a lower quartile value.

A

INTERQUARTILE RANGE

IQR= UPPER QUARTILE- LOWER QUARTILE
IQR= 3RD QUARTILE- 1ST QUARTILE
20
Q

DIFFERENCE BETW MAXIMUM AND MINIMUM VALUES OF THE DATA SET, IT PROVIDES A BETTER UNDERSTANDING HOW VARIED A DATA SET IT.

A

RANGE