1.

57. The standard deviation of 10, 16, 10, 16, 10, 10, 16, 16 is(a) 4(b) 6(c) 3.(d) o​

Answer»

∑X = 10 + 16 + 10 + 16 + 10 + 10 + 16 + 16 = 104

∑x^2 = 1424

mean = (∑x)/N = (104/8) = 13

so, x~ = 13

now find the value of summation of the square of given data,.

∑x^2 = (10)^2 + (16)^2 + (10)^2 + (16)^2 + (10)^2 + (10)^2 + (16)^2 + (16)^2 = 1424

so, we have

∑x^2 = 1424

n = 8

x~ = 13

SIGMA^2 = (1424/8) - (13)^2

calculate this we get,

sigma = 3

option C is correct


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