Question

find the sum of deviations of all observations of the data 5 10 15 22 from their mean

Answer 1

$\frac{5 + 10 + 15 + 22}{4} = \frac{52}{4} = \frac{13}{4} = 3.25$

Answer 2

$\huge{\underline{\bigstar{\sf{solution !!}}}}$

5, 8, 1, 15, 22

Mean= No. of observation/sum of observation

= 5+8+10+15+22/5

= 60/5

$\large{\boxed{\sf{=12}}}$

Sum of deviations

=∣5−12∣+∣8−12∣+∣10−12∣+∣15−12∣+∣22−12∣

=∣7∣+∣−4∣+∣−2∣+∣3∣+∣10∣

=7+4+2+3+10

$\large{\boxed{\sf{=26}}}$