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Statistics

Question

Find the mean of 4, 7, 8, 9, 10, 12, 13, 17

Solution

N = 8
$WiredFaculty$
∴ $top enclose straight x space equals space fraction numerator sum straight x over denominator straight N end fraction equals 80 over 8 equals 10$

Question

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Find the mean of: 168, 162, 171, 153, 159, 165, 158, 164

Solution

N = 8
Let assumed mean, A be 160
∴ d = x - A = 8, 2, 11, -7, -1, 5, -2, 4
$sum straight d equals 20$
∴ $top enclose straight x space space equals straight A plus fraction numerator sum straight d over denominator straight N end fraction equals 160 plus 20 over 8 equals 160 plus 2.5 space equals space 162.5$

Question

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Find the mean of data:

Solution

$space space straight N space equals space sum f space equals space 7 plus 4 plus 6 plus 3 plus 5 equals 25$
$sum f x space equals space 35 plus 40 plus 90 plus 60 plus 135 equals 360$
$rightwards double arrow$ $top enclose straight x space equals space fraction numerator sum f x over denominator straight N end fraction equals space 360 over 25 equals 14.4$

Question

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Find the mean of the data:

Solution

$space space straight N space equals sum f equals space 2 plus 8 plus 10 plus 7 plus 8 plus 5 equals 40$
Let assumed mean, A be 70
∴ $straight d space equals space straight x minus straight A space equals negative 50 comma space minus 20 comma negative 10 comma space 10 comma space 30 comma space 50$