5 Number Summary
Shape
Center
Spread
Free Play
100
What information does the 5 number summary consist of?
Minimum, Q1, Median, Q3, Maximum
100
What is the purpose of identifying the shape of a graph?
The shape of a graph is used to analyze whether the data set is symmetric or skewed. 
100
What is the center of a graph?
The center is the middle of a distribution. 
100
How many ways are there to determine the spread of a graph? 
3
100
If you know that the Q1 is 13 and the Q3 is 34 what is the IQR?
21
200
What is first quartile? 
The Q1 is the number that 25% of the data points fall below.
200
If a graph has a longer "tail" on the right side than it does on the left side, what shape is the graph?
Right Skewed
200
What are the two measures of center?
Mean and median
200
What are the ways to measure the spread of a graph?
1. Range

2. Inner Quartile Range (IQR)

3. Standard Deviation (or variability/variance)

200

The 5 number summary of a dataset is:

Min: 12

Q1: 16

Med: 22

Q3: 24

Max:30

What is the range of the dataset?

18


300
Given the following dataset, identify the minimum and the maximum.


21, 22, 23, 25, 22, 27, 30, 32, 21, 31, 30, 31, 21, 24

Minimum: 21


Maximum: 32

300
What does it mean if the graph has two peaks?
Then the graph is bimodal.
300
If a dataset does not have any outliers, which is the most accurate measure of center?
Mean
300
Find the range for the following dataset:


12, 20, 21, 40, 13, 15, 19, 29, 24, 38, 37, 28, 25

28
300

If you know that the graph is not skewed, which measure of center would you use to determine the graph?

Mean

400
Determine the first quartile and the third quartile in the following dataset:


12, 13, 15, 16, 18, 10, 11, 18, 20, 21, 14

Q1: 12


Q3: 18

400
What are two pieces of information can you determine from the shape of a graph?
1. The distribution of the dataset

2. The range of the dataset

3. How many modes occur in the dataset

400
If the graph is very skewed left or right, which is the most accurate measure of center?
Median
400
Find the IQR of the following dataset: 


10, 12, 15, 13, 17, 18, 29, 22, 21, 14, 25

**Calculators can be used to determine the quartiles**

9
400
If the mean of a dataset is 34, and the numbers 33, 89, 24, and 100 are added to the set, what is the new mean?
56
500
Given the following dataset, generate the full 5 number summary. (Can use your calculators)


34, 32, 31, 35, 29, 32, 28, 25, 35, 39, 38, 29, 31, 32

Min: 25

Q1: 29

Med: 32

Q3: 35

Max: 39

500
What is the name of a graph that is unimodal and symmetrically distributed?
The graph is called a Bell Curve
500

Determine if there are any outliers in the following dataset 

{0, 15, 16, 19, 21, 25, 30, 40, 66}

Q3 + 1.5(IQR) 

66 is an outlier

500
In the calculator, determine the standard deviation of the following dataset (round to the nearest tenth):


22, 26, 13, 19, 27, 20, 29, 13, 15, 16, 17, 19, 28, 29

Standard Deviation = 5.9
500
If you are given the following dataset, using your calculator, determine the 5 number summary as well as the standard deviation (rounded to the nearest tenth): 23, 25, 26, 18, 29, 19, 15, 18, 24, 26, 27, 18, 19.
Min: 15

Q1: 18

Med: 23

Q3: 26

Max:29

Standard Deviation: 4.4

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