Which dataset below shows the greatest variance?

Question

BlackTom AI · Accepted Answer

To determine which dataset has the greatest variance, we examine how spread out each dataset’s values are around its center.
Option: Dataset 3. The red distribution appears quite narrow, with values tightly clustered around its peak near x ≈ 2.0. A narrow spread indicates small variance, so this dataset likely does not have the greatest variance.
Option: They all show the same variance. Visually, the three distributions differ in width: Dataset 3 is narrow, Dataset 1 is quite narrow as well, but Dataset 2 spans a broader range on the x-axis. Therefore, this option is incorrect because the variances are not identical.
Option: Dataset 1. The green distribution is also relatively tight, centered around a negative to near-zero x-value, and spans a smaller interval than Dataset 2. This suggests a smaller variance compared to at least one of the other datasets, so this option is unlikely to be correct.
Option: Dataset 2. The blue distribution covers a noticeably wider range along the x-axis, from roughly -4 to around 0 or so, and the data points are more dispersed from its center. A wider spread corresponds to a larger variance, making this the most plausible choice for the greatest variance among the three datasets.
Overall, by comparing the horizontal spread of the distributions, Dataset 2 shows the largest dispersion, implying the greatest variance among the options.

Which dataset below shows the greatest variance? 单项选择题

类似问题

What’s the variance of a random variable X where E(X) = 0 ?

A standard deviation is determined by taking the square root of what?

For some value of q, the expected value of X is 2.09, and the expected value of X^2 is 5.67 What is the variance of X?

If p = 0.6, what is the variance of the difference? (Hint: Let D=X-Y, where we let X represent the number of Facebook friend requests, and let Y represent the number of LinkedIn connection requests. What are the possible values for X and Y, as well as D? What are their probabilities?)

For this problem, what is the most appropriate unit for the variance for the number of friend requests? (Select the best answer.)

Suppose we do not know the exact value of p. However, we are given that the expected number of friend requests is 1.75, and the expected number of the square of friend requests is 3.95. What is the variance of the number of friend requests per day? (Hint: Which formula for variance is helpful here?)

Which dataset below shows the greatest variance?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单