150k views
5 votes
The value of the mode identifies

a) the midpoint.
b) the balance point.
c) that which is "fashionable."
d) all of the above

User Ryan Vice
by
7.7k points

1 Answer

3 votes

Final answer:

The correct answer is option C, which states that the mode is that which is "fashionable." It does not represent the midpoint or balance point of the data.

Step-by-step explanation:

In statistics, the mode refers to the value that appears most frequently in a data set. It is a measure of the center of a data set but contrary to the other options, it does not indicate the midpoint or the balance point of the data set.

In some cases, a data set may have more than one mode, making it bimodal or even multimodal, whereas other sets of numbers may not have a mode at all if no number repeats. The mode is particularly useful when we want to know the most common value in a set of data, and it can be calculated for both qualitative and quantitative data. While the mean is the arithmetic average of a data set and the median is the middle value when a data set is ordered from least to greatest, the mode is simply the value that occurs with the highest frequency.

The mode can be a helpful measure of central tendency when a data set contains outliers, and it's also the best measure of center when dealing with qualitative data where mean and median cannot be computed. An example of the mode's usefulness is determining the most common outcome in a weight-loss program, which might differ significantly from the average (mean) weight loss.

User Max R
by
8.0k points