Question

1.001 kg 1.792 kg 0.614 kg 2.539 kg
imprecise
data set

which data set is most precise?
2/11
yellow: 2.49 g 4.50 g 3.75 g
purple: 150 g 75 g 175 g
orange: 1.75 g 1.72 g 1.79 g

Explanation:

To determine the most precise data set, we analyze the consistency (closeness) of the values in each set. Precision refers to how close measurements are to each other.

Step1: Analyze Yellow Data Set

Values: \(2.49\space g\), \(4.50\space g\), \(3.75\space g\)
These values have a relatively large spread (e.g., \(2.49\) to \(4.50\) is a difference of \(2.01\space g\)).

Step2: Analyze Purple Data Set

Values: \(150\space g\), \(75\space g\), \(175\space g\)
The spread here is large (e.g., \(75\) to \(175\) is a difference of \(100\space g\)).

Step3: Analyze Orange Data Set

Values: \(1.75\space g\), \(1.72\space g\), \(1.79\space g\)
The differences between these values are small:
\(1.75 - 1.72 = 0.03\space g\), \(1.79 - 1.75 = 0.04\space g\), \(1.79 - 1.72 = 0.07\space g\).
This set has the smallest spread (most consistent values).

Answer:

The orange data set (with values \(1.75\space g\), \(1.72\space g\), \(1.79\space g\)) is the most precise.