If the mean of a symmetric distribution is 150, which of these values could be the median of the distribution?A.170B.150C.130D.190SUBMITarrow_backPREVIOUS

1. Break Down the Problem

To determine which value could be the median of a symmetric distribution when the mean is 150.

2. Relevant Concepts

In a symmetric distribution:

• The mean, median, and mode are all equal.
• If the mean is 150, the median must also be 150.

3. Analysis and Detail

Given that the mean is 150, in a symmetric distribution:

• Mean = Median = Mode

Thus, for the median to potentially be different from the mean, the distribution would not be symmetric. Therefore, we only need to check which of the options matches the mean value of 150.

4. Verify and Summarize

The only value among the options that equals the mean (and thus satisfies the property of the symmetric distribution) is 150.

Final Answer

B. 150