The analemma is a diagram that shows the sun’s position at solar noon over the year on a fixed meridian.

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The main idea is that the analemma records where the Sun is at solar noon across the year as seen along the same vertical line in the sky, a fixed meridian. Because Earth’s axis is tilted and its orbit isn’t perfectly circular, solar noon doesn’t line up with clock noon in a constant way and the Sun’s height (declination) changes with the seasons. When you plot the Sun’s noon position day after day on that same meridian, you get the characteristic curve of the analemma. That makes the description of the Sun’s noontime position across the year on a fixed meridian the best fit.

The other options describe different things: the daily path of the Sun across the sky, the variation in daylight length over the year, or the Sun’s general path along the ecliptic relative to the celestial equator, none of which specifically capture the noon-position diagram over the year on a fixed meridian.