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measures of spread (variation): range & interquartile range (iqr) measu…

Question

measures of spread (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 max=34, min=9 range
  2. 8, 90, 5, 80, 27, 50 90−5=85
  3. 5, 4, 3, 5, 4, 2, 2, 6 34−9=25
  4. 35, 41, 68, 35, 83 max=83, min=35 83−35=48
  5. 5, 7, 5, 9, 6, 5, 5, 8, 4 ______

Explanation:

Step1: Find maximum value

In the data set \(5, 7, 5, 9, 6, 5, 5, 8, 4\), the maximum value is \(9\) (by identifying the largest number).

Step2: Find minimum value

The minimum value is \(4\) (by identifying the smallest number).

Step3: Calculate range

Range is calculated as maximum value minus minimum value, so \(9 - 4 = 5\).

Answer:

The range is \(5\).