1) What is the relationship of the Mean, Median and Mode as Measures of Central Tendency in a true Normal Curve?
I THINK MEAN
In a true normal curve, the mean, median, and mode are all equal. This means that the mean, which is the average value of a dataset, will be the same as the median, which is the middle value when the data is arranged in ascending order. Additionally, the mode, which is the most frequently occurring value in the dataset, will also be equal to the mean and median in a perfectly normal distribution.
The Mean, Median, and Mode are different measures of central tendency that can be used to summarize a set of data. In a true normal curve, their relationship is as follows:
1) Mean: The mean is calculated by summing up all the values in the data set and dividing it by the total number of values. In a normal curve, the mean is at the center of the distribution. It represents the average value of the data set.
2) Median: The median is the value that separates the upper and lower half of the data set. In a normal curve, the median is also at the center of the distribution. It divides the data set into two halves with an equal number of observations on each side.
3) Mode: The mode is the value(s) that appears most frequently in the data set. In a true normal curve, there is only one mode, which is also the same as the mean and median. This indicates that the data is symmetrically distributed around the center value.
So, in summary, in a true normal curve, the mean, median, and mode are all equal and located at the center of the distribution.