Question

compare each set of data. determine which set shows
greater variability.
set a
5, 8, 9, 10, 12, 15, 16, 20
set b
24, 34, 37, 42, 56, 57, 65
which set shows greater variability?
which measure provides greater variability for the set
you chose?

Explanation:

Step1: Calculate the range for each set

The range is calculated as \(Range = Max - Min\).
For Set A: \(Max = 20\), \(Min = 5\), so \(Range_A=20 - 5=15\).
For Set B: \(Max = 65\), \(Min = 24\), so \(Range_B=65 - 24 = 41\).

Answer:

Set B shows greater variability.