Which statement accurately describes a normal distribution?

Which statement accurately describes a normal distribution?

• A. The tails touch the horizontal axis.
• B. The distribution is skewed to one side.
• C. The mean, median and mode are not related.
• D. The mean, median and mode are all in the centre.

Answer: (D)

A normal distribution is defined by symmetry around its center, with the mean, median and mode all lying at that central point. This means the bell-shaped curve is balanced, and these three measures of location coincide, reflecting that central point. So the statement that the mean, median and mode are all in the centre describes a normal distribution accurately. The other descriptions don’t fit: the tails don’t touch the horizontal axis—they approach it but never meet; the distribution isn’t skewed, it’s symmetric; and the mean, median and mode are related and equal in a normal distribution.

A normal distribution is defined by symmetry around its center, with the mean, median and mode all lying at that central point. This means the bell-shaped curve is balanced, and these three measures of location coincide, reflecting that central point. So the statement that the mean, median and mode are all in the centre describes a normal distribution accurately. The other descriptions don’t fit: the tails don’t touch the horizontal axis—they approach it but never meet; the distribution isn’t skewed, it’s symmetric; and the mean, median and mode are related and equal in a normal distribution.