If for a sample of size 60 - we have the following information - i 2-18000 and - i -960- then the variance isA- 6-63B- 16C- 22D- 44

The correct option is D 44 Given ∑ ^2_i = 18000, ∑ _i = 960 and n = 60 ∴ Variance = ∑ x^2_i/n ( ∑ x_i/n )^2 = 18000/60 ( 960/60 )^2 = 300 256 = 44 Hen ...

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Standard XII

Mathematics

Standard Deviation

If for a samp...

Question

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

6.63

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Solution

The correct option is D
44

Given $\sum_{i}^{2} = 18000, \sum_{i} = 960$ and n = 60

$∴$ Variance

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

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

= 300-256 = 44

Hence, the correct answer is option (d).

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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

Q. The following information relates to a sample of size

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a) T-distribution varies from+infinity to-infinity.
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Q. The means of two samples of size

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and

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were found to be

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and

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respectively. Their standard deviations were

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and

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respectively. The variance of the combined sample of size

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Q. The means of two samples of size

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and

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were found to be

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and

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respectively. Their standard deviations were

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and

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respectively. The variance of the combined sample of size

90

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If for a sample of size 60, we have the following information ∑2i=18000 and ∑i=960 , then the variance is

The correct option is D 44 Given ∑2i=18000,∑i=960 and n = 60 ∴ Variance =∑x2in−(∑xin)2 =1800060−(96060)2 = 300-256 = 44 Hence, the correct answer is option (d).

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

The correct option is D
44

Given $\sum_{i}^{2} = 18000, \sum_{i} = 960$ and n = 60

$∴$ Variance

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

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

= 300-256 = 44

Hence, the correct answer is option (d).