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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!)
example: 20, 13, 22, 17, 28, 10, 25 \trange → 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

Explanation:

Response
Problem 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 in the data set is \(9\).

Step3: Calculate range

Range is maximum minus minimum, so \(34 - 9 = 25\).

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 in the data set is \(5\).

Step3: Calculate range

Range is maximum minus minimum, so \(90 - 5 = 85\).

Answer:

\(25\)

Problem 2: