Does the mean or median better describe the shape of this data set?

The mean better describes the shape of this data set because the data appears to be normally distributed and the mean is more affected by extreme values compared to the median.

what i the mean

To find the mean of a data set, you add up all the values and then divide by the total number of values.

Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8
Mean = 432 / 8
Mean = 54

So, the mean of the data set is 54.