SOLUTION: . Find the mean, mode, median, variance and standard deviation of the following data: 35 45 30 35 40 25

Algebra ->  Probability-and-statistics -> SOLUTION: . Find the mean, mode, median, variance and standard deviation of the following data: 35 45 30 35 40 25       Log On


   



Question 449561: . Find the mean, mode, median, variance and standard deviation of the following data:
35
45
30
35
40
25

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

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%2F6=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 %286+%2B+1%29+%F7+2+=+7+%F7+2+=+3.5th+ (3rd or 4th)number:
So, the median is 35.

The variance delta%5E2 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
is simply the (positive) square root of the variance.
delta=sqrt%2841.7%29=6.5