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measures of s p r e a d (variation): range & interquartile range (iqr) …

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.

  1. 34, 15, 9, 33, 27, 12, 27, 25, 30
  2. 8, 90, 5, 80, 27, 50
  3. 5, 4, 3, 5, 4, 2, 2, 6

Explanation:

Response
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 = \(6 - 2 = 4\).

Answer:

\(25\)

2)