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

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top enclose straight x space equals space fraction numerator sum straight x over denominator straight N end fraction space equals space fraction numerator 6 plus 7 plus 10 plus 12 plus 13 plus 4 plus 8 plus 12 over denominator 8 end fraction equals 72 over 8 equals 9

sum left parenthesis straight x minus top enclose straight x right parenthesis squared space space equals space left parenthesis 6 minus 9 right parenthesis squared plus left parenthesis 7 minus 9 right parenthesis squared plus left parenthesis 10 minus 9 right parenthesis squared plus left parenthesis 12 minus 9 right parenthesis squared plus left parenthesis 13 minus 9 right parenthesis squared plus left parenthesis 4 minus 9 right parenthesis squared plus left parenthesis 8 minus 9 right parenthesis squared plus left parenthesis 12 minus 9 right parenthesis squared

= 9 + 4 + 1 + 9 + 16 + 25 + 1 + 9 = 74
∴ Variance,

space space space space straight sigma squared equals fraction numerator sum left parenthesis straight x minus top enclose straight x right parenthesis squared over denominator straight N end fraction equals 74 over 8 equals 9.25

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

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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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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:

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