The Student Room Group

HELP! Mean, Mode, Median, Variance, Standard Deviation

I need help with this! Can someone give me the full workings? Please :frown:
Reply 1
We can help... Are you having trouble with all of it? What have you tried so far?
Reply 2
Mode

The mode is the most repeated value in a distribution.



Li is the lower limit of the modal class.
fi is the absolute frequency of the modal class.
fi--1 is the absolute frequency immediately below the modal class.
fi-+1 is the absolute frequency immediately after the modal class.
ai is the width of the class containing the modal class.


Median

The median is in the class where the cumulative frequency reaches half the sum of the absolute frequencies.
That is to say, the median is within the class .


Li is the lower limit of the median class.
is half the sum of the absolute frequency
.
Fi-1 is the absolute frequency immediately below the median class.
ai is the width of the class containing the median class.The median is independent of the widths of the classes.

Mean

The mean is the average value of the distribution.If the data is grouped in a frequency table, the expression of the mean is:

Variance

The variance is the arithmetic mean of the squared deviations from the mean of a statistical distribution.



Standard Deviation

The standard deviation is the square root of the variance.

:smile:

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