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

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

1 answer

The measures of center for this data set are the mean, median, and mode.

1. Mean: To calculate the mean, add up all the numbers in the data set and then divide by the total number of numbers.
Mean = (48 + 12 + 11 + 45 + 48 + 48 + 43 + 32) / 8
Mean = 287 / 8
Mean = 35.875

2. Median: To find the median, we first need to arrange the numbers in ascending order.
11, 12, 32, 43, 45, 48, 48, 48
Since there are 8 numbers in the data set, the median is the average of the two middle numbers, which are 43 and 45.
Median = (43 + 45) / 2
Median = 44

3. Mode: The mode is the number that appears most frequently in the data set.
The mode for this data set is 48, as it appears 3 times, which is more than any other number.

Therefore, the value that best represents all the measures of center for this data set is 48.