The Mean, Median, and Mode
The mean, median, and mode are measures of central tendency used in statistics to describe the characteristics of a dataset. Each of these measures provides different insights into the distribution of the data.
- The
mean is calculated by adding up all the values in the dataset and dividing by the total number of values. It represents the average value of the dataset.
- The
median is the middle value when the data is arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle values. It represents the value that separates the dataset into two equal halves.
- The
mode is the value or values that appear most frequently in the dataset. A dataset can have multiple modes, or it can be multimodal (having more than one mode).
Calculating the Mode
To find the mode, we need to know the values in the dataset. Unfortunately, the question does not provide the dataset, so we cannot calculate the mode directly. However, we can make some observations based on the given mean and median.
Since the mean is less than the median, we can infer that the dataset is positively skewed. In a positively skewed distribution, the mode is usually less than the median and mean. Therefore, it is unlikely that the mode will be greater than 225.
However, without additional information or the specific dataset, it is not possible to determine the exact mode. We can only make educated guesses based on the provided mean and median.
In conclusion, the mode cannot be determined without further information. The mean and median alone do not provide enough information to calculate the mode accurately.