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Statistics

Long Answer Type

481. The frequency distribution of population in males in different age groups is given below:
Calculate the mean deviation about the median.

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Short Answer Type

482. Find the mean and variance for the following data:
25, 50, 45, 30, 70, 42, 36, 48, 34, 50

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483. Find the mean and variance for the following data:
6, 7, 10, 12, 13, 4, 8, 12

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Long Answer Type

484. Find the mean and variance of the first n natural numbers.

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Short Answer Type

485. Find the variance and standard deviation of 3, 5, 5, 4, 6, 3, 5, 7,1, 8.

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486. Find the variance and standard deviation of 62,65, 57, 62, 56, 51, 69, 60.

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Long Answer Type

487. Find the mean and variance for the following data:

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488. The scores of 48 children in an intelligency test are shown in the following table:

Calculate: (a) Mean (b) Variance (c) Standard Deviation.

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489. Compute (a) the mean (b) the variance (c) the standard deviation of the following data:

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490. Calculate the mean and standard deviation for the following data:

Take A = 55 and i = 10

$top enclose straight x space equals space straight A plus open parentheses fraction numerator sum f u over denominator thin space straight N end fraction close parentheses space cross times space straight i space equals space 55 plus 5 over 500 cross times 10 space equals space 55 plus 0.1 equals space 55.1$
$straight sigma squared equals straight i squared open square brackets fraction numerator straight N sum f u to the power of italic 2 minus left parenthesis sum f u right parenthesis squared over denominator straight N squared end fraction close square brackets space equals space 100 open square brackets fraction numerator 500 cross times 705 minus left parenthesis 5 right parenthesis squared over denominator left parenthesis 500 right parenthesis squared end fraction close square brackets space equals space 14099 over 100 equals 140.99$
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