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 expressed up to one decimal place is .

Answer 1

The best measure of center for this data set is the mean and its value expressed up to one decimal place is 40.6

Explanation:

The best measure of center for this data set is the mean.

Calculating Mean......

Mean is calculated as summation of observation divided by number of observations.

Given the following dataset;

36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29

The sum = 568

Number of observations (data set) = 14

Mean = 568/14

Mean = 40.571428571

Mean = 40.6 --- Approximated

Answer 2

The best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50

Explanation:

The best measure of center for this data set is the MEDIAN , and its value expressed up to one decimal place is 37.50.

We have given the data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

The data set is:

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Let us find the median of this data set.

Arrange the values in ascending order:

{16,18,28,29,35,36,37,38,40,41,44,66,68,72}

Median = average of middle entries

Median = 37.5

Therefore the best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50 ....