each histogram represents a set of data with a median of 29.5. which set of data most likely has a mean that…

each histogram represents a set of data with a median of 29.5. which set of data most likely has a mean that is closest to 29.5? 9 12 15 18 21 24 27 30 33 36 39 42 45 48

each histogram represents a set of data with a median of 29.5. which set of data most likely has a mean that is closest to 29.5? 9 12 15 18 21 24 27 30 33 36 39 42 45 48

Answer

Explanation:

Step1: Recall mean - median relationship

In a symmetric distribution, the mean and median are approximately equal. In a skewed - right distribution, the mean is greater than the median. In a skewed - left distribution, the mean is less than the median.

Step2: Analyze the histograms

We need to look for a histogram that is as symmetric as possible. The first histogram has a more symmetric shape around the median value of 29.5 compared to the second histogram which has a slight right - skew (the tail on the right side is longer).

Answer:

The first histogram