Answer:
Median and 37.50
Step-by-step explanation:
We are given a data set which gives the number of bottles filled by each of the workers in a bottling plant in one day.
The data is:
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
Let us find mean, median and mode for this.
Mean = 40.571
Arrange in ascending order
16,18,28,29,35,36,37,38,40,41,44,66,68,72
Median = average of middle entries = 37.5
Mode = one with maximum frequency = Nil
On scrutiny of these three central tendencies we find that mode is not applicable here. Mean is not good as there is a large deviation i.e. range is very high 72-16 = 56 and also extreme items are present.
Hence median is the best measure here for comparison
The best measure of center for this data set is the median___ , and its value exspressed up to one decimal place is 37.50___
