
Measures of Variation
Presentation
•
Mathematics
•
6th - 8th Grade
•
Medium
Standards-aligned
Lauren Cleeton
Used 8+ times
FREE Resource
9 Slides • 12 Questions
1
Measures of Variation
by Lauren Cleeton
2
Review
What is the median?
The value in the center of an ordered list of data. If 2 values appear in the center, it is the mean of those 2 values.
What is the range?
The range is the difference between the highest and lowest data value.
3
Measures of Variation
Quartiles
Values that divide the data into 4 equal parts
First and Third Quartiles
The first quartile is the median of the data values less than the median.
The third quartile is the median of the data values greater than the median.
Interquartile Range
The IQR is the difference between the first and third quartiles.
Outliers
Outliers are extremely high or low values in reference to the data set.
4
First and Third Quartiles
Find the 1st and 3rd (or lower and upper) quartiles. Look at Step 2.
5
Cut/Paste into a new tab to watch!
https://www.youtube.com/watch?v=X54Mf0KtJ00
6
Multiple Choice
Find the Quartile 1 of these numbers:
2, 3, 4, 5, 5, 5, 7,
4
6
3
5
7
Multiple Choice
Find the Quartile 3 of these numbers:
2, 3, 4, 5, 5, 5, 7,
4
6
3
5
8
Interquartile Range (IQR)
Once you have the first and third quartiles, you can find the IQR by subtracting them. Look at step 3.
9
Copy and Paste to watch!
https://www.youtube.com/watch?v=0TulXwT_3ck&t=26s
10
Multiple Choice
What is the interquartile range of the data set below?
3, 5, 6, 6, 7, 8, 9
3
6
2
8
11
Multiple Choice
Find the IQR using the following data.
50, 60, 82, 86, 94, 110
60
84
34
50
12
Finding Outliers
To find the "limits" of the outliers, take first quartile and subtract 1.5 x IQR, and then take the third quartile and add 1.5 x IQR. Watch and learn!
https://www.youtube.com/watch?v=UmKPdxlFAsI&t=211s
13
Multiple Choice
23, 34, 27, 7, 30, 26, 28, 31, 34
14
Multiple Choice
Find the outlier of the data set.
15, 20, 18, 35, 17, 35, 13
no outlier
35
13
15
15
TIME TO REVIEW!
​
16
Multiple Choice
Find the median from the list of numbers:
60, 58, 52, 48, 60, 67
58
59
60
118
17
Multiple Choice
Find the Quartile 1.
5, 5, 9, 12,18, 22, 25,
18
12
9
5
18
Multiple Choice
Find the Quartile 3.
5, 5, 9, 12,18, 22, 25,
22
18
25
12
19
Multiple Choice
Find the median, first quartile, third quartile, and interquartile range of the data.
32, 53, 72, 66, 47, 54, 49, 67, 71
Median: 54
First Quartile: 49
Third Quartile: 67
IQR: 18
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 21
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 22
Median: 54
First Quartile: 49
Third Quartile: 69
IQR: 20
20
Multiple Select
What are the correct expressions for using the IQR to determine if there is an outlier that is a lot less and a lot greater than the other values. Hint: Choose 2 expressions.
Q1 - 1.5(IQR)
Q3 - 1.5(IQR)
Q1 + 1.5(IQR)
Q3 + 1.5(IQR)
21
Multiple Choice
Use the interquartile range to identify any outliers in the following data.
52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88
No outliers.
88 is an outlier.
Measures of Variation
by Lauren Cleeton
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