Question

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). 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}

The best measure of center for this data set is the ___ , and its value exspressed up to one decimal place is ___

Answer 1

1.) Median

2.) 37.50

Explanation:

Answer 2

Median and 37.50

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___