Answer:
The best measure of center for this data set is the median, and its value expressed up to one decimal place is 37.5.
Step-by-step explanation:
Given : The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
To find : The best measure of center for this data set and its value expressed up to one decimal place?
Solution :
Arrange in ascending order
{16,18,28,29,35,36,37,38,40,41,44,66,68,72}
First we find the mean and median of the data
Mean is defined as
Mean of the data set is 40.57.
Median is defined as average of two middle term
Median of the data set is 37.5.
Range of the set is 72-16=56
Mean is not appropriate as the range is very high so the best measure is median.
Therefore, The best measure of center for this data set is the median, and its value expressed up to one decimal place is 37.5.