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anonymous
 one year ago
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
anonymous
 one year ago
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

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The best would be the median

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do I find the value?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2arrange the values in ascending order the median is the middle number (if the total number is odd) or he mean of the 2 middle numbers.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@welshfella I know that part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I need to know the value

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2i've just explained how to get it.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2there are 2 parts to the question 1. what is the best measure of center 2. what is the value of this best measure.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0order these numbers; {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29} , then find the middle number of the order

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0out of interest, why the median and not the mean? https://gyazo.com/adeb20b7894f04112ea381c640e00bba is this really that skewed?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0mean is affected by outliers

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0yes it is, but the trendline suggests that there aren't really any outliers. i reason that the goto measure of central tendency is the arithmetic mean. now, if you work total output as 14 times mean for this sample vs 14 times median, you get very different results. in fact you are out by nearly 10% if you use median. this is not a massively skewed distribution. skewness \(\frac{\mu  \nu}{\sigma} = 0.18\). not totally sure how to interpret that, but it certainly isn't a big number.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0i'm just wondering why the median was selected as best without any analysis, and the whole thread's focus is on how you calc a median. if you take the outlier argument too seriously, you never get to use the arithmetic mean unless every data point is exactly the same :p

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2you have a valid point there @irishboy. I guess this is a 'borderline' case.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0thanks @welshfella ! i can see it both ways, i just wonder is it really about judgement or is there a test? i do see those 3 higher numbers but they are 3 in a set of 14. if it was just one, i might see it differently.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yes I agree about the outliers I wonder if people lean towards the median if the amount of data is small because its easier to calculate!?
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