Question 449561

The mean is the usual {{{average}}}, so: add them and divide the sum by number of data

35
45
30
35
40
25
----------
210

{{{210/6=35}}}

The mean is {{{35}}}.


The mode is the number that is {{{repeated}}}{{{ more}}}{{{ often}}} than any other, so {{{35}}} is the mode.

The median is the {{{middle}}}{{{ value}}}, so I'll have to rewrite the list in order:

25
30
35
35
40
45
There are six numbers in the list, so the middle one will be the {{{(6 + 1) ÷ 2 = 7 ÷ 2 = 3.5th }}} (3rd or 4th)number:

So, the median is {{{35}}}.


The variance {{{delta^2}}} is a measure of how far each value in the data set is from the mean. Here is how it is defined:

    Subtract the mean from each value in the data. This gives you a measure of the distance of each value from the mean.

The mean is {{{35}}}.

{{{35-25=10}}}
{{{35-30=5}}}
{{{35-35=0}}}
{{{35-35=0}}}
{{{35-40=-5}}}
{{{35-45=-10}}

{{{100+25+0+0+25+100=250}}

    Square each of these distances (so that they are all positive values), and add all of the squares together.
{{{100+25+0+0+25+100=250}}

    Divide the sum of the squares by the number of values in the data set. 

{{{250/6=41.7}}

The standard deviation {{{delta^2}}} is simply the (positive) square root of the variance.

 {{{delta=sqrt(41.7)=6.5}}}