Question

based on the following calculator output, determine the range of the dataset. 1 - var - stats (overline{x}=61.198412698412696) (sum x = 7711) (sum x^{2}=527863) (sx = 21.15883544669502) (sigma x=21.0747045550738) (n = 126) (minx = 5) (q_{1}=46) (med = 63) (q_{3}=78) (maxx = 114)

Explanation:

Step1: Recall the formula for range

The range of a dataset is calculated as the difference between the maximum value (maxX) and the minimum value (minX) in the dataset. The formula is \( \text{Range} = \text{maxX} - \text{minX} \).

Step2: Identify maxX and minX from the output

From the calculator output, we have \( \text{minX} = 5 \) and \( \text{maxX} = 114 \).

Step3: Calculate the range

Substitute the values of maxX and minX into the formula: \( \text{Range} = 114 - 5 \).

Answer:

109