Suppose a dataset has a mean of $75$. Which statement is true about the data point $84$?

• A. $84$ is equal to the mean of the dataset.
• B. $84$ is above the mean of the dataset.
• C. $84$ is below the mean of the dataset.
• D. $84$ is the median of the dataset.

Answer: (B)

Verified step by step guidance

1. Identify the given mean of the dataset, which is 75.
2. Compare the data point 84 to the mean 75 to determine its relative position.
3. Recall that if a data point is greater than the mean, it is considered above the mean.
4. Since 84 is greater than 75, conclude that 84 is above the mean of the dataset.
5. Note that the problem does not provide information about the median, so we cannot conclude anything about 84 being the median.