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3 years ago

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The numbers of beans in some cocoa pods

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

a) <em>Mean number of beans = 33.4 per coco pad</em>

<em>b) Standard deviation of the beans = 5.2 per coco pad</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data 30, 28, 30, 35, 40, 25, 32, 36, 38 and 40.

mean of beans

x⁻ = ∑x/n

$x^{-} = \frac{30+ 28+30+35+40+25+32+36+38 + 40.}{10} = 33.4$

<em>Mean number of beans per coco pad = 33.4</em>

<em>step(ii):-</em>

<em>b) </em>

<u><em>standard deviation</em></u>

<em>∑(xi - x⁻)² = (30-33.4)²+ (28-33.4)²+(30-33.4)²+(35-33.4)²+(40-33.4)²+(25-33.4)²+(32-33.4)²+(36-33.4)²+ (38-33.4)²+(40-33.4)²</em>

<em>On calculation , we get</em>

<em> ∑(xi - x⁻)² = 242.4</em>

<em>standard deviation </em>

<em> = </em> $\sqrt{\frac{sum((x-x^{-} )^{2} }{n-1} } = \sqrt{\frac{242.4}{10-1} } = 5.189$ <em></em>

<em>Standard deviation of the beans (σ) = 5.2 per coco pad</em>

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