Question

consider 1,500 m running track - and - field events. which variable would you expect to have the larger sd? determine whether each of the following statements provide valid reasoning for the correct answer to the previous question. 1. we expect high school times to have a larger standard deviation because it would contain far more values. select an answer. 2. we expect high school times to have a larger standard deviation because of the great variety in abilities of high school athletes compared to olympic athletes. this variety might be explained by different motivations for participating in high school sports (e.g., fun, exercise, competitiveness, etc.) and different levels of physical development in the high school athletes. select an answer. 3. we expect olympic times to have a smaller standard deviation because only some of the worlds fastest runners make it to the olympics. so we expect less variability in their abilities. select an answer. 4. we expect high school times to have a larger standard deviation because the average run time for high school students will be larger than for olympic athletes. select an answer.

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures the amount of variation or dispersion in a set of values.

Step2: Analyze high - school athletes

High school athletes have a wide range of abilities, motivations (fun, exercise, competitiveness etc.) and physical development levels. This large variety in factors leads to a greater spread of running times.

Step3: Analyze Olympic athletes

Olympic athletes are a more select group. They have high - level abilities and are highly motivated and physically developed. Their abilities are more homogeneous in comparison, resulting in less variability in running times.

Answer:

We expect high school times to have a larger standard deviation because of the great variety in abilities of high school athletes compared to Olympic athletes. This variety might be explained by different motivations for participating in high school sports (e.g., fun, exercise, competitiveness etc.) and different levels of physical development in the high school athletes.