Say i have a box plot and I'm trying to determine the shape.
My mean is 119.6
My median is 51
Would the shape be skewed to the right
To determine the shape of a box plot, you need to consider the positions of the median, the mean, and the spread of the data.
In your case, the median is 51, which represents the middle value of the dataset. Additionally, the mean is 119.6, which is significantly larger than the median.
Given this information, we can infer that the data is skewed to the right. This means that there are some higher values in the dataset that are pulling the mean towards the right side. The skewness indicates that the tail of the distribution is elongated towards the right side, while the bulk of the data is concentrated towards the left.
To determine the skewness of a box plot, you don't solely rely on the median and the mean. It is also important to consider the spread of the data, which can be observed from the length of whiskers on the box plot. If the whiskers are longer on the right side of the box, it further supports the notion of a right skew.
Overall, based on the provided median of 51, mean of 119.6, and assuming the right whisker is longer than the left, we can conclude that the shape of your box plot is skewed to the right.