Does the mean or median better describe the shape of this data set? 46, 54, 43, 57, 50, 62, 78, 42(1 point)

1 answer

For this data set, both the mean and median are valid measures of central tendency. The mean is calculated by adding all the numbers together and dividing by the total number of values (46+54+43+57+50+62+78+42)/8 = 52.125. The median is the middle value when the numbers are arranged in ascending order, in this case 50.

In this particular data set, the mean (52.125) and median (50) are quite close in value and there are no significant outliers that would skew the data. Therefore, both the mean and median can adequately describe the shape of this data set.