- Thread starter
- #1

I hope someone is able to help, I'm currently stuck on a problem.

I'm having trouble justifying which representation is more accurate for my data; either mean with standard deviation or median with IQR.

I've calculated both averages for the my data, however I was advised by someone that the mean with standard deviation was a better representation. I dont understand how this could be the case as my ogive graph seems to indicate that the distribution is wide and uneven. I was under the impression if distribution is ever uneven, to always use the median over mean as median is not affected by outliers.

Why in this case would the mean be better than the median? Or is median better representation, if so why?

My mean value was 8.6 with a standard deviation of 14.5 whilst the median was 3.44 with IQR of 9.5.

TBH I dont know what to do with the standard deviation and IQR values. I understand they are measures of spread, but what do they mean to the data? Would appreciate if anyone could also explain what I do with them so I can justify which would be the better representation.

I've included some links to a copy of my data table and ogive graph if that helps.

Any advice given would be appreciated. Thanks in advance.

P.s. Please correct me if i've done my ogive graph wrong, first real attempt at it.

Data table:

http://www.talkstats.com/attachment.php?attachmentid=3930&d=1385031179

Ogive:

http://www.talkstats.com/attachment.php?attachmentid=3931&d=1385031208

Calculation of standard deviation, incase I've gone wrong:

http://www.talkstats.com/attachment.php?attachmentid=3932&d=1385031219