Question

find the range for the group of data items 20, 20, 21, 21, 22, 22. the range is (simplify your answer.)

Explanation:

Step1: Recall the formula for range

The range of a set of data is calculated as the difference between the maximum value and the minimum value in the set. Mathematically, it is given by \( \text{Range} = \text{Maximum value} - \text{Minimum value} \).

Step2: Identify the maximum and minimum values

Given the data set: \( 20, 20, 20, 21, 21, 21, 22, 22 \).

• The minimum value (\( \text{Min} \)) in this set is \( 20 \) (since \( 20 \) is the smallest number present).
• The maximum value (\( \text{Max} \)) in this set is \( 22 \) (since \( 22 \) is the largest number present).

Step3: Calculate the range

Using the formula for range, we substitute the values of maximum and minimum:
\( \text{Range} = 22 - 20 = 2 \)

Answer:

\( 2 \)