Which dataset below shows the greatest variance?

Question

BlackTom AI · Accepted Answer

To determine which dataset has the greatest variance, we need to compare how spread out each dataset is around its center.
Option: Dataset 1. The green distribution appears spread over a wider range on the x-axis, from roughly -5 up to about 0, indicating a larger dispersion of values and thus a higher variance.
Option: Dataset 3. The red distribution is quite narrow, centered around x ≈ 2.5, with most data points falling close to the mean. This suggests a small variance.
Option: Dataset 2. The blue distribution is also moderately spread, centered near x ≈ -1, but its overall width is less than that of Dataset 1, indicating a smaller variance than Dataset 1.
Option: They all show the same variance. This would imply equal spread for all three distributions, which is not supported by the visual widths shown; at a glance Dataset 1’s spread is noticeably larger than the others.
In summary, measuring variance corresponds to how widely the values are distributed around the mean. The broadest spread among the three datasets is Dataset 1, so it exhibits the greatest variance.

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

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