SOLUTION: Use the sample data set below: {51, 57, 43, 65, 72, 39, 56, 61, 48, 49, 37, 44, 68, 75, 52, 56, 41, 63} Find the mean, median and variance to the nearest hundredth.

Algebra ->  Statistics  -> Displaying-distributions -> SOLUTION: Use the sample data set below: {51, 57, 43, 65, 72, 39, 56, 61, 48, 49, 37, 44, 68, 75, 52, 56, 41, 63} Find the mean, median and variance to the nearest hundredth.       Log On


   

Question 1138818: Use the sample data set below:
{51, 57, 43, 65, 72, 39, 56, 61, 48, 49, 37, 44, 68, 75, 52, 56, 41, 63}

Find the mean, median and variance to the nearest hundredth.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The mean is:

Median:
put terms in order from lowest to highest
37,39,41,43,44,48, 49,51,highlight%2852%29,||highlight%2856%29,56,57,61,63,65,68,72,75
%2852%2B56%29%2F2=54

to find standard deviation, create the following table:

data.....data-mean.....%28data+-+mean%29%5E2
37.....-17.2778.....298.52237284
39.....-15.2778.....233.41117284
41.....-13.2778.....176.29997284
43.....-11.2778.....127.18877284
44.....-10.2778.....105.63317284
48.....-6.2778.....39.41077284
49.....-5.2778..... 27.85517284
51.....-3.2778.....10.74397284
52.....-2.2778.....5.18837284
56.....1.7222.....2.96597284
56.....1.7222.....2.96597284
57.....2.7222.....7.41037284
61.....6.7222.....45.18797284
63.....8.7222.....76.07677284
65.....10.7222.....114.96557284
68.....13.7222.....188.29877284
72.....17.7222.....314.07637284
75.....20.7222.....429.40957284


the sum of numbers in the last column above is: 2205.6111
divide it by %28n-1%29 where n is the number of elements, in your sample n=18
variance=2205.6111%2F%2818-1%29=2205.6111%2F17=129.74+