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Mathematics 22 Online
OpenStudy (elise_a18):

PLEASE. I just need a personal opinion. (^n^) What determines the best way to measure the center of a set of data? For Example A= 1,1,2,3,4,7,8 B= 2,4,,4,7,8,8,10

Vocaloid (vocaloid):

well, we have two ways of measuring the center of a data set, median and mean. Usually, mean is the preferred measure of center UNLESS there are outliers or other extreme values in the data, in which case median is better (median is less affected by extreme values)

OpenStudy (aq99):

For the center of the data set you find the Median. c:

Vocaloid (vocaloid):

not quite, the median is only one way to measure the center there are actually a lot of ways to measure the center of a data set, you can read more about it here https://people.richland.edu/james/ictcm/2001/descriptive/helpcenter.html

Vocaloid (vocaloid):

in statistics, "center" does not always mean "median" :)

OpenStudy (elise_a18):

So for this the answer would be C then? NY has an outlier... The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York: Maximum Minimum Q1 Q3 IQR Median Mean σ Rome 16 0 3 13 10 8.5 8 5.4 New York 20 1 4.5 6 1.5 5.5 7.25 6.1 Which of the choices below best describes how to measure the center of this data? Both centers are best described with the mean. Both centers are best described with the median. The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.

Vocaloid (vocaloid):

I would think so! good job ~

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