Question

post test: representing and interpreting 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

Explanation:

Step1: Identify outliers in data

Check for values far from the cluster: 72 is an outlier.

Step2: Choose best center measure

Median is robust to outliers.

Step3: Order data set

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

Step4: Find median position

$n=14$, position = $\frac{14+1}{2}=7.5$

Step5: Calculate median value

Average 7th & 8th values: $\frac{37+38}{2}=37.5$

Answer:

median
37.5