Find the variance of the following data:6, 8, 10, 12, 14, 16, 18

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 Multiple Choice QuestionsLong Answer Type

491. The diameters of circles (in mm) drawn in a design are given below:



Calculate the standard deviation and mean diameter of the circles.

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492. The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and S.D. in each of the following cases: (i) If the wrong item is omitted (ii) If it is replaced by 12.
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 Multiple Choice QuestionsShort Answer Type

493.

If the observations x1, x2,........ xn are changed to x1 + a, x2 + a, x3 + a, xn+ a, where a is a negative or positive number, show that the variance remains unchanged.

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 Multiple Choice QuestionsLong Answer Type

494. The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6. Find the other two observations.
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495.

Given that top enclose straight x is the mean and straight sigma squared is the variance of n observations <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre> Prove that the mean and variance of observations  ax subscript 1 comma space ax subscript 2 comma space ax subscript 3 comma space....... comma space ax subscript straight n are straight a space top enclose straight x space and space straight a squared space straight sigma squared respectively, left parenthesis straight a not equal to 0 right parenthesis.

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496. The mean and standard deviation of a group of 100 observations was found to be 20 and 3 respectively. Later on it was found that three observations were incorrect, which were recorded as 21,21 and 18. Find the standard deviation, if the incorrect observations were omitted.
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497. Calculate the mean and standard deviation for the following data:

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498. Find the variance of the following data:
6, 8, 10, 12, 14, 16, 18, 20, 22, 24


Solution not provided.
Ans. 33

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499. Find the mean and variance of first 10 multiples of 3. 
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500. Find the mean, variance and standard deviation of the following data:
8, 12, 13, 15, 22.
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