Question 1145689
Calculate the mean of the set = {{{(2 + 3 + 5 + 13 + 22 + 35 + 60 + 86 + 101 + 122)/10}}} = 44.9
<pr>
Subtract the mean from each data point:
2 - 44.9 = -42.9
3 - 44.9 = -41.9
5 - 44.9 = -39.9
13 - 44.9 = -31.9
22 - 44.9 = -22.9
35 - 44.9 = -9.9
60 - 44.9 = 15.1
86 - 44.9 = 41.1
101 - 44.9 = 56.1
122 - 44.9 = 77.1
<pr>
Square each result:
(-42.9)² = 1840.41
(-41.9)² = 1755.61
(-39.9)² = 1592.01
(-31.9)² = 1017.61
(-22.9)² = 524.41
(-9.9)² = 98.01
(15.1)² = 228.01
(41.1)² = 1689.21
(56.1)² = 3147.21
(77.1)² = 5944.41
<pr>
Find the sum of the squared values:
1840.41 + 1755.61 + 1592.01 + 1017.61 + 524.41 + 98.01 + 228.01 + 1689.21 + 3147.21 + 5944.41 = 17839.90
<pr>
Because the data set is the entire population, divide the sum of the squared values by the number of data in the set*:
17839.90/10 = 1783.990
<pr>
*(NOTE: If the data set were from a sample, and not the entire population, you would have divided by the number of data in the set minus 1.)
<pr>
This is your variance: 1783.990.  To find the standard deviation, take the square root of the variance...which is 42.2.