1.

Refer to Q9 and calculate the variance of each data set?(a) (1239,8.0)(b) (1823,8.9)(c) (8.9,1823)(d) (8.0,1239)I have been asked this question by my college director while I was bunking the class.My doubt is from Graph Paper with Logarithmic Coordinates topic in portion Presentation and Analysis of Data of Bioprocess Engineering

Answer»

The CORRECT answer is (b) (1823,8.9)

The explanation: In VARIANCE there is SMALL culture and bulk culture.

Small culture-

The SUM of values in the (X-x̅)^2 column = Ƹ(X-x̅)^2 = 16,403

Since there are 10 samples in this data set, n=10. Placing these values into the formula for CALCULATING the variance yields,

Variance = \(\frac{Ƹ(X-x̅)^2}{n-1} = \frac{16.403}{10-1}\)

=\(\frac{16.403}{9}\)

=1823

Bulk culture-

The sum of values in the (X-x̅)^2 column = Ƹ(X-x̅)^2 = 80

Since there are 10 samples in this data set, n=10. Placing these values into the formula for calculating the variance yields,

Variance = \(\frac{Ƹ(X-x̅)^2}{n-1} = \frac{80}{10-1}\)

= \(\frac{80}{9}\)

= 8.9



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