Final answer:
The best measure of central tendency for height, which is normally distributed, is the mean (A), as it coincides with the median and mode in a normal distribution and is essential for describing and analyzing the distribution.
Step-by-step explanation:
In a normal distribution, the mean, median, and mode all fall at the same point in the center of the distribution. Since height is normally distributed, all three measures of central tendency will provide the same value. Therefore, the best measure of central tendency for height would be the mean (A), as it represents the arithmetic average and is also the most commonly used measure in further statistical analysis.
Additionally, the normal distribution depends only on the mean and the standard deviation, making the mean a critical value for describing the distribution. The mean is not only the numerical average but also indicates the line of symmetry in a normal distribution, with the area under the curve being equal to one. When a data set is symmetrical and follows the bell-shaped curve of a normal distribution, the mean is equal to both the median and the mode.