MEASURES OF CENTRAL TENDENCY, DISPERSION, LOCATION

Question 1

Method of compressing mass of data for better comprehension and description

Answer 1

Summarizing Figures

Question 2

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

Answer 2

Summarizing Figures

Question 3

Mean, median, and mode

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

Answer 3

Measures of Central Tendency

Question 4

range, variance, and standard deviation

Describe the variability of observations

Answer 4

Measures of Dispersion

Question 5

percentile, decile and quartile

Shows relative position of an observation in an array

Answer 5

Measures of Location

Question 6

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

Answer 6

Measures of Central Tendency

AKA measures of central location

Question 7

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

Answer 7

Measures of Central Tendency

Question 8

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

Answer 8

Mean

average

Question 9

Measures of Central Tendency:

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

Answer 9

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

Question 10

Measures of Central Tendency:

Most popular and well known measure of central tendency

Answer 10

Mean

Used for discrete and continuous data

Question 11

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

Answer 11

observation
position of an observation
summation notation
sample mean

Question 12

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

Answer 12

population mean
population
sample mean

Question 13

Measures of Central Tendency:

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

Answer 13

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

Question 14

Measures of Central Tendency:

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

Answer 14

Median

Not influence by outliers

Question 15

Measures of Central Tendency:

The most frequently occurring value in a set of observation

Answer 15

Mode

can be determined for any type of variable

Question 16

Measures of Central Tendency:

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

Answer 16

Mode

Question 17

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

Answer 17

Negative Direction

Question 18

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

Answer 18

Perfectly Symmetrical Distribution

Question 19

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

Answer 19

Positive Direction

Question 20

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

Answer 20

Mode
Median
Mean
Median

Question 21

Measures the spread of variability of data

Answer 21

Measures of Dispersion aka Measures of Spread

Question 22

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

Answer 22

Measures of Dispersion

May be used for quantitative variables only

Question 23

Describe whether the population or sample is homogeneous or heterogeneous

Answer 23

Measures of Dispersion

Question 24

range, variance, standard deviation, and coefficient variation

Answer 24

Measures of Dispersion

Question 25

Measures of Dispersion: | Difference between the highest and lowest value, can measure the spread or variability

Answer 25

Range | simplest measure of dispersion

Question 26

Measures of Dispersion: | Used when you have ordinal data

Answer 26

Range

Question 27

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

Answer 27

Variance | Units are incomprehensible

Question 28

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

Answer 28

Standard Deviation | squared deviations

Question 29

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

Answer 29

Coefficient of Variation | SD ÷ Mean x 100

Question 30

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

Answer 30

Coefficient of Variation (CV)

Question 31

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

Answer 31

Measures of Location | Used for both qualitative and quantitative data

Question 32

Quartiles, deciles, percentiles

Answer 32

Measures of Location

Question 33

Measures of Location: | Points of distribution that divides the observation into 100 equal parts

Answer 33

Percentiles: Pi | 1 of the 99 values of a variable which divides the distribution into 100 equal parts

Question 34

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

Answer 34

Deciles: Di | Decile to Percentile: D1= P10

Question 35

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

Answer 35

Quartiles: Qi | Quartile to Percentiles: Q1= P25

Question 36

What is Q3 in percentile?

Answer 36

P75 or 75th percentile | 1 quartile = 25 percentile

Question 37

What is Q2 in decile?

Answer 37

D5 or 5th decile

Question 38

What is P60 in decile?

Answer 38

D6 or 6th decile | 10 percentile = 1 decile

Question 39

What is P25 in quartile?

Answer 39

Q1 or 1st quartile | 25 percentile = 1 quartile

Question 40

What is Q2 in percentile?

Answer 40

P50 or 50th percentile | 1 quartile = 25 percentile