The-deviations-of-a-set-of-numbers-from-12-are-3-2-1-0-1-4-0-1-and-2-Calculate-the-mean-and-standard-deviation-of-the-numbers-

Question Number 176098 by nadovic last updated on 12/Sep/22

The deviations of a set of numbers

from 12 are

3, - 2, 1, 0, - 1, 4, 0, 1 and 2 .

Calculate the mean and standard

deviation of the numbers .

Answered by Rasheed.Sindhi last updated on 12/Sep/22

(12 - a_{1}) + (12 - a_{2}) + (12 - a_{3}) + \dots + (12 - a_{9})

= 3 + (- 2) + 1 + 0 + (- 1) + 4 + 0 + 1 + 2 = 8

12 \times 9 - (a_{1} + a_{2} + \dots + a_{9}) = 8

a_{1} + a_{2} + \dots + a_{9} = 108 - 8 = 100

m e a n = \frac{a_{1} + a_{2} + \dots + a_{9}}{9} = \frac{100}{9}

Commented by peter frank last updated on 12/Sep/22

thanks

Commented by Rasheed.Sindhi last updated on 12/Sep/22

thanks for thanks!