That statement is not quite accurate. While the Moon's average density is indeed close to the Earth's core, it's important to note that:

* The Moon's density is the average of its entire structure, which includes its crust, mantle, and core.

* The Earth's core is a much smaller part of the Earth's total mass.

Therefore, comparing the average density of the Moon to the density of the Earth's core is like comparing apples to oranges.

Here's a breakdown for clarity:

* Moon's average density: Approximately 3.34 g/cm³

* Earth's core density: Approximately 10-13 g/cm³ (varies between inner and outer core)

It's more accurate to say that the Moon's average density is similar to the Earth's mantle density, which is around 4.5 g/cm³.

This similarity is a result of the Moon's composition, which is primarily composed of silicate minerals, similar to the Earth's mantle. However, the Moon's core is much smaller and less dense than the Earth's core, which is primarily made of iron and nickel.