In a dataset of 10 numbers, if the mean and median are both 20, which of the following statements is/are true?
(A). The dataset contains no outliers.
(B). The dataset contains exactly one outlier.
(C). The dataset contains multiple outliers.
(D). The dataset has no mode.
Choose the correct answer from the options given below:
Show Hint
Outliers skew the mean but have little to no effect on the median:
- Positive Outlier \(\rightarrow\) \(\text{Mean} > \text{Median}\).
- Negative Outlier \(\rightarrow\) \(\text{Mean} < \text{Median}\).
- Symmetrical distribution No Outliers \(\rightarrow\) \(\text{Mean} \approx \text{Median}\).