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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 ______ and
______ 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 \t____________
  2. 8, 90, 5, 80, 27, 50 \t____________
  3. 5, 4, 3, 5, 4, 2, 2, 6 \t____________
  4. 35, 41, 68, 35, 83 \t____________
  5. 5, 7, 5, 9, 6, 5, 5, 8, 4 \t____________

Explanation:

Response
1) For data: 34, 15, 9, 33, 27, 12, 27, 25, 30

Step1: Find maximum value

Identify the largest number: 34

Step2: Find minimum value

Identify the smallest number: 9

Step3: Calculate range

Subtract minimum from maximum: \( 34 - 9 = 25 \)

Step1: Find maximum value

Largest number: 90

Step2: Find minimum value

Smallest number: 5

Step3: Calculate range

\( 90 - 5 = 85 \)

Step1: Find maximum value

Largest number: 6

Step2: Find minimum value

Smallest number: 2

Step3: Calculate range

\( 6 - 2 = 4 \)

Answer:

25

2) For data: 8, 90, 5, 80, 27, 50