Answer :
The outlier in the data set is 22.2. When the outlier is included, the mean is 56.6, the median is 56.75, and there is no mode. When the outlier is excluded, the mean is 61.4, the median is 58.5, and the mode is 49.
The outlier in the data set is 22.2 as it is significantly lower than the other values. Including the outlier, the mean is calculated by summing all the values and dividing by the total number of values, resulting in a mean of 56.6. The median is found by arranging the values in ascending order and finding the middle value, resulting in a median of 56.75. Since no value repeats more than once, there is no mode.
When the outlier is excluded, the mean is recalculated using the remaining values, resulting in a mean of 61.4. The median is found in the same way as before, resulting in a median of 58.5. The mode is determined as the value that appears most frequently, which in this case is 49. Therefore, when the outlier is excluded, the mode is 49.
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