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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.

Ask by Stanley French. in the United States
Feb 03,2025

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Answer

a. The range is 40. b. The range is not a good measure of spread because it might be affected by extreme values.

Solution

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**.

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The range of ages in a company, calculated by subtracting the youngest age from the oldest, gives a simplistic view of age distribution. While it's 40 years in this case, it doesn’t reflect how many people might be clustered around certain ages. A company could have many employees in their 30s and 40s, which might create a misleading impression of diversity in age. When considering the effectiveness of the range as a measure of spread, option A stands out as the correct choice. The primary reason is that it only accounts for the oldest and youngest individuals, failing to capture the potential central clustering of ages. Other measures, like the interquartile range or standard deviation, could provide a more nuanced understanding of age distribution within the company.

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