1 The youngest person in a company is 29 . The oldest is 69 . a. What is the range? b. Is the range a good measure of spread for the ages in the company? Why or why not? a. The range is 40 . b. Choose the correct answer below. A. The range is not a good measure of spread because it might be affected by extreme values B. The range is a good measure of spread because it considers the extreme values of the oldest and youngest people. C. The range is not a good measure of fread because it does not consider extreme values. O. The range is a good measure of spread because the ages of eveyone in the compary fall within the range. D.

Let's break down the problem step by step. ### Part a: What is the range? The range is calculated by subtracting the youngest age from the oldest age. Given: - Youngest age = 29 - Oldest age = 69 The formula for the range \( R \) is: \[ R = \text{Oldest age} - \text{Youngest age} \] Substituting the values: \[ R = 69 - 29 = 40 \] So, the range is **40**. ### Part b: Is the range a good measure of spread for the ages in the company? Why or why not? To determine if the range is a good measure of spread, we need to consider the nature of the range: - **A. The range is not a good measure of spread because it might be affected by extreme values.** - **B. The range is a good measure of spread because it considers the extreme values of the oldest and youngest people.** - **C. The range is not a good measure of spread because it does not consider extreme values.** - **D. The range is a good measure of spread because the ages of everyone in the company fall within the range.** ### Analysis: The range only considers the two extreme values (the youngest and oldest) and does not take into account how the other ages are distributed. If there are many people clustered around the youngest age or the oldest age, the range may not accurately reflect the overall spread of ages. Thus, the correct answer is: **A. The range is not a good measure of spread because it might be affected by extreme values.** ### Final Answers: a. The range is **40**. b. The correct answer is **A**.