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
maximum value 28, minimum value 10
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
4. 35, 41, 68, 35, 83
5. 5, 7, 5, 9, 6, 5, 5, 8, 4

Explanation:

Problem 1: 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 min from max: \( 34 - 9 = 25 \)

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

\( 6 - 2 = 4 \) (Note: The original handwritten answer had an error; correct range is 4)

Answer:

25

Problem 2: 8, 90, 5, 80, 27, 50