What value best represents the all the measures of center for the following data set?

48, 12, 11, 45, 48, 48, 43, 32

1 answer

Based on the data set, the value that best represents all the measures of center is 43.5.

The following are the measures of center for the data set:
- Mean: (48 + 12 + 11 + 45 + 48 + 48 + 43 + 32) / 8 = 287 / 8 = 35.875
- Median: Arranging the data set in numerical order: 11, 12, 32, 43, 45, 48, 48, 48. The median is the middle value, which is 43.
- Mode: The mode is the most frequently occurring number in the data set, which is 48.

Although the mean and mode do not exactly match the value of 43.5, it is the value that is closest to all the measures of center in this data set.