Module 2-2

Question 1

What are the ways to Summarize Categorical (Qualitative) Data?

Answer 1

Bar Chart

Pie Chart

Question 2

What are the ways to Summarize Numerical (Quantitative) Data

Answer 2

Dot Plot
Stem Plot
Histograms
Time Plots
Box Plots
Scatter Plots

Question 3

What are they ways to describe Summarizations?

Answer 3

Shapes
Center
Spread

Question 4

What are the types of Shapes 1?

Answer 4

Modes
Symmetry or Skewness
Deviation or outliers

Question 5

What are the types of Shapes 2?

Answer 5

Uniform - No mode
Unimodal - A single peak
Bimodal - Two peaks

Question 6

When is a graph symetrical?

Answer 6

When you can draw a vertical line so that the both sides are mirror images

Question 7

What does a Positively skewed, or skewed to the right graph look like?

Answer 7

A peak more to the left

Question 8

What does a Negatively skewed, or skewed to the left graph look like?

Answer 8

A peak more to the right

Question 9

What is Skewness caused by?

Answer 9

Unusual values or deviation from overal pattern

Question 10

What is the Center?

Answer 10

The value that splits the data in half or a typical range of values at the center of the graph

Question 11

What are the types of Centers?

Answer 11

Mean, Median, Mode

Question 12

What is Spread?

Answer 12

The range of values. If they are far apart or close together

Question 13

What is the most common type of graph?

Answer 13

A Histogram

Question 14

What is the downside to histograms?

Answer 14

Data values from a stem and leaf plot are retained but not with histograms

Question 15

How does an outlier affect a mean?

Answer 15

If the set of observation includes an outlier, the mean value will be drawn in the direction of the outlier

Question 16

What is the mean not resistant to?

Answer 16

Outliers

Question 17

What do we use instead of mean when there are outliers?

Answer 17

Median

Question 18

What is the Median?

Answer 18

The value that divides the ordered sample in two sets of the same size

Question 19

How can the median be found?

Answer 19

By finding the value that is in the middle, if there is an even number take the value of the two numbers in the video

Question 20

What is the mode?

Answer 20

The value that occurs with the highest frequency in a data set

Question 21

What does the mode look like on a graph?

Answer 21

Where the distribution is tallest

Question 22

What are the mean, median and mode in a symetric distribution?

Answer 22

ȳ = M = mode

Question 23

What is the relationship with the mean, median and mode in a positively skewed distribution?

Answer 23

mean > median > mode

Question 24

What is the relationship with the mean, median and mode in a negatively skewed distribution?

Answer 24

mean < median < mode

Question 25

What are the 3 measures of Variability?

Answer 25

Range Variance and standard deviation IQR

Question 26

What is the range?

Answer 26

Range is the simple numerical measure of variability that gives the difference between the largest maximum and the smallest minimum

Question 27

What does a large range mean?

Answer 27

A greater variability

Question 28

What is deviation?

Answer 28

The difference of an observation from the mean (y)

Question 29

When is a deviation positive?

Answer 29

If the observation is greater than the mean

Question 30

When is the deviation negative?

Answer 30

When the observation is less the the mean

Question 31

What is the formula for deviation?

Answer 31

(observation-mean)

Question 32

What does the Set of Deviations describe?

Answer 32

The variability of the data

Question 33

What is Variance?

Answer 33

The sum of the squared deviations

Question 34

What is the Standard Deviation?

Answer 34

The square root of the Variance and is denoted by s

Question 35

What is the most commonly used measure of Variation?

Answer 35

Standard Deviation

Question 36

When does the standard deviation equal 0?

Answer 36

When there is no spread

Question 37

When does is the standard deviation greater than 0?

Answer 37

When the observations become more spread out

Question 38

What is the Standard deviation not resistant to?

Answer 38

Skewness

Question 39

When is Interquartile range (IQR) used?

Answer 39

When there are outliers

Question 40

What is used as the center in Standard deviation?

Answer 40

Mode

Question 41

What is used as the center in IQR?

Answer 41

The Median or Q2

Question 42

When will the IQR be small?

Answer 42

When the data is clustered around the center

Question 43

what does a boxplot show?

Answer 43

The center, spread, and symmetry or skewness at the same time