MEASURES OF CENTRAL TENDENCY, DISPERSION, LOCATION Flashcards

1
Q

Method of compressing mass of data for better comprehension and description

A

Summarizing Figures

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2
Q

Make use of the measures of central tendency, dispersion, and location

A

Summarizing Figures

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3
Q

Mean, median, and mode

Have the typical values; all values that represent all the observations

A

Measures of Central Tendency

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4
Q

range, variance, and standard deviation

Describe the variability of observations

A

Measures of Dispersion

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5
Q

percentile, decile and quartile

Shows relative position of an observation in an array

A

Measures of Location

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6
Q

Tells us where the values tend to clump but not measure the spread of variability of data

A

Measures of Central Tendency

AKA measures of central location

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7
Q

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

A

Measures of Central Tendency

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8
Q

Measures of Central Tendency:
is the sum of the values of observations divided by the number of observations.
Sum of the observations ÷ number of observations

A

Mean

average

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9
Q

Measures of Central Tendency:

Sensitive to different/ extreme observations; any change in the observation will change the mean value

A

Mean
Sum of the deviations of the observations from the mean is equal to zero
Point of balance or center of gravity of the distribution

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10
Q

Measures of Central Tendency:

Most popular and well known measure of central tendency

A

Mean

Used for discrete and continuous data

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11
Q

X: designate an _____
i: designates ______
𝛴: ______
X̅: _______

A

observation
position of an observation
summation notation
sample mean

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12
Q

μ: ______
N: # of items in the _____
n: # of items in the _____

A

population mean
population
sample mean

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13
Q

Measures of Central Tendency:

The middle score for a set of data that has been arranged in order of magnitude

A

Median
(Odd: middle most observation
Even: mean of 2 middlemost observation)

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14
Q

Measures of Central Tendency:

Middle most observation in a set of observations put in numerical order in an array (ascending or descending)

A

Median

Not influence by outliers

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15
Q

Measures of Central Tendency:

The most frequently occurring value in a set of observation

A

Mode

can be determined for any type of variable

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16
Q

Measures of Central Tendency:

Used for categorical data, to know which is the most common category

A

Mode

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17
Q

Locations of Measures of Central Tendency: Types of Distribution:
Negatively skewed
Right to left
Mean is less than the median and mode

A

Negative Direction

18
Q

Locations of Measures of Central Tendency: Types of Distribution:
Normal (no skew), Center

A

Perfectly Symmetrical Distribution

19
Q

Locations of Measures of Central Tendency: Types of Distribution:
Positively skewed
Left to right
Mode is less than the median and mean

A

Positive Direction

20
Q
Best Measure of Central Tendency:
Nominal : \_\_\_\_\_
Ordinal : \_\_\_\_\_
Interval/ Ratio (no skewed) : \_\_\_\_\_\_
Interval/ Ratio (skewed) : \_\_\_\_\_
A

Mode
Median
Mean
Median

21
Q

Measures the spread of variability of data

A

Measures of Dispersion aka Measures of Spread

22
Q

Used to describe the variability in a sample or population used in conjunction with a measure of central tendency

A

Measures of Dispersion

May be used for quantitative variables only

23
Q

Describe whether the population or sample is homogeneous or heterogeneous

A

Measures of Dispersion

24
Q

range, variance, standard deviation, and coefficient variation

A

Measures of Dispersion

25
Q

Measures of Dispersion:

Difference between the highest and lowest value, can measure the spread or variability

A

Range

simplest measure of dispersion

26
Q

Measures of Dispersion:

Used when you have ordinal data

A

Range

27
Q

Measures of Dispersion:
The average of the squared deviations from the mean
Measure of variability that takes the mean as the reference point

A

Variance

Units are incomprehensible

28
Q

Measures of Dispersion:
Square root of the variance
Unit is the same as that of the original set of observations

A

Standard Deviation

squared deviations

29
Q

Measures of Dispersion:
Measure of relative variation. Always a %
Expresses the SD as % of mean

A

Coefficient of Variation

SD ÷ Mean x 100

30
Q

Measures of Dispersion:
Shows variation relative to Mean
Used to compare 2 or more groups

A

Coefficient of Variation (CV)

31
Q

Determines the location/ position of a particular value in an array of distribution
Provide more details about a part of the entire distribution of observations in a give data

A

Measures of Location

Used for both qualitative and quantitative data

32
Q

Quartiles, deciles, percentiles

A

Measures of Location

33
Q

Measures of Location:

Points of distribution that divides the observation into 100 equal parts

A

Percentiles: Pi

1 of the 99 values of a variable which divides the distribution into 100 equal parts

34
Q

Measures of Location:
Points of distribution that divides the observation into 10 equal parts
1 of the 9 values of a variable which divides the distribution into 10 equal parts

A

Deciles: Di

Decile to Percentile: D1= P10

35
Q

Measures of Location:
Points of distribution that divides the observation into 4 equal parts
1 of the 3 values of a variable which divides the distribution into 4 equal parts

A

Quartiles: Qi

Quartile to Percentiles: Q1= P25

36
Q

What is Q3 in percentile?

A

P75 or 75th percentile

1 quartile = 25 percentile

37
Q

What is Q2 in decile?

A

D5 or 5th decile

38
Q

What is P60 in decile?

A

D6 or 6th decile

10 percentile = 1 decile

39
Q

What is P25 in quartile?

A

Q1 or 1st quartile

25 percentile = 1 quartile

40
Q

What is Q2 in percentile?

A

P50 or 50th percentile

1 quartile = 25 percentile