The following information relates to a sample of size 60- xi2-18000- xi-960

Given: For sample size 60;∑ x_i^2=18000,∑ x_i=960 Variance (σ^2)=∑ x_i^2n (∑ x_in nbsp; )^2 Variance(σ^2)=1800060 ( 96060 )^2 Variance(σ^2)=300 16^2 Va ...

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Standard X

Biology

Food Shortage

The following...

Question

The following information relates to a sample of size $60; \sum x_{i}^{2} = 18000, \sum x_{i} = 960$

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6.63

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Solution

The correct option is C 44
Given: For sample size $60; \sum x_{i}^{2} = 18000, \sum x_{i} = 960$

Variance $(σ^{2}) = \frac{\sum x_{i}^{2}}{n} - {(\frac{\sum x_{i}}{n})}^{2}$

Variance $(σ^{2}) = \frac{18000}{60} - {(\frac{960}{60})}^{2}$

Variance $(σ^{2}) = 300 - 16^{2}$

Variance $(σ^{2}) = 300 - 256$

Variance $(σ^{2}) = 44$

Hence, option (𝐷) is correct .

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Similar questions

Q. If for a sample of size 60, we have the following information

\sum_{} x_{i}^{2} = 18000

and

\sum_{} x_{i} = 960

, then the variance is

(a) 6.63 (b) 16 (c) 22 (d) 44

If for a sample of size 60, we have the following information $\sum_{i}^{2} = 18000$ and $\sum_{i} = 960$ , then the variance is

Q. Show that the two formulae for the standard deviation of ungrouped data

σ = \sqrt{\frac{1}{n} \underset{}{\sum {(x_{i} - X)}^{2}}}

and

σ' = \sqrt{\frac{1}{n} \underset{}{\sum x_{i}^{2} - X^{2}}}

are equivalent, where

X = \frac{1}{n} \sum_{} x_{i}

Show that the two formulae for the standard deviation of ungrouped data .

$σ = \sqrt{\frac{1}{n} \sum (x_{i} - ¯ ¯¯¯ ¯ X)^{2}} a n d σ^{'} = \sqrt{\frac{1}{n} \sum x_{i}^{2} - {¯ ¯¯¯ ¯ X}^{2}}$ are equivalent , where $¯ ¯¯¯ ¯ X = \frac{1}{n} \sum x_{i}$

Q. The following information relates to a sample of size

60

\sum {x_{i}}^{2} = 18000, \sum x_{i} = 960

. The variance is

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Food Shortage

Standard X Biology

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The following information relates to a sample of size 60;∑x2i=18000,∑xi=960

The correct option is C 44Given: For sample size 60;∑x2i=18000,∑xi=960 Variance (σ2)=∑x2in−(∑xin)2 Variance(σ2)=1800060−(96060)2 Variance(σ2)=300−162 Variance(σ2)=300−256 Variance(σ2)=44 ​​​​​​​Hence, option (𝐷) is correct .

The following information relates to a sample of size $60; \sum x_{i}^{2} = 18000, \sum x_{i} = 960$