QUESTION IMAGE
Question
measures of s p r e a d (variation):
range & interquartile range (iqr)
measures of spread tell you how spread out your data is, or
how much it varies.
range: the difference between the maximum and
minimum values in a data set (simply subtract the
highest and lowest numbers!)
maximum value minimum value
example: 20, 13, 22, 17, 28, 10, 25 range → 28 − 10 = 18
you try: find the range for the following data.
- 34, 15, 9, 33, 27, 12, 27, 25, 30
- 8, 90, 5, 80, 27, 50
- 5, 4, 3, 5, 4, 2, 2, 6
1)
Step1: Find maximum value
In the data set \(34, 15, 9, 33, 27, 12, 27, 25, 30\), the maximum value is \(34\).
Step2: Find minimum value
The minimum value is \(9\).
Step3: Calculate range
Range = Maximum - Minimum = \(34 - 9 = 25\).
Step1: Find maximum value
In the data set \(8, 90, 5, 80, 27, 50\), the maximum value is \(90\).
Step2: Find minimum value
The minimum value is \(5\).
Step3: Calculate range
Range = Maximum - Minimum = \(90 - 5 = 85\).
Step1: Find maximum value
In the data set \(5, 4, 3, 5, 4, 2, 2, 6\), the maximum value is \(6\).
Step2: Find minimum value
The minimum value is \(2\).
Step3: Calculate range
Range = Maximum - Minimum = \(6 - 2 = 4\).
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