X | (X - X̄)² |
77 | 76.738 |
75 | 45.698 |
53 | 232.258 |
79 | 115.778 |
87 | 351.938 |
63 | 27.458 |
71 | 7.618 |
79 | 115.778 |
82 | 189.338 |
76 | 60.218 |
14 | 2941.978 |
72 | 14.138 |
71 | 7.618 |
56 | 149.818 |
61 | 52.418 |
77 | 76.738 |
79 | 115.778 |
63 | 27.458 |
79 | 115.778 |
67 | 1.538 |
52 | 263.738 |
78 | 95.258 |
77 | 76.738 |
54 | 202.778 |
64 | 17.978 |
X | (X - X̄)² | |
total sum | 1706 | 5382.56 |
n | 25 | 25 |
a)
mean = ΣX/n = 68.24
b)
median = (n+1)/2=13th term from ascending order
so, median=72
median is measure of center of data.
so, center value of data is 72
c)
sample variance = Σ(X - X̄)²/(n-1)= 5382.56/24=
224.273
d)
sample std dev = √ [ Σ(X - X̄)²/(n-1)] =√224.273 =
14.9758
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