Question

Calculate the range,average deviation,varianceand standard deviation of the following set of observation 3,4,5,5,6,7,7,7,8,8

Answer 1

Answer:

Range = 5

Average deviation = 1.4

Variance = 2.888888888888889

Standard Deviation = 1.6996731712

Step-by-step explanation:

A. Range

= 8-3  => 5  

B. Average deviation

= |3−6|+|4−6|+|5−6|+|5−6|+|6−6|+|7−6|+|7−6|+|7−6|+|8−6|+|8−6|  / 10

= 1.4

C. Variance

= 9+4+1+1+0+1+1+1+4+4 / 9

= 26/9

= 2.888888888888889

D. Standard Deviation

= √2.888888888888889

= 1.6996731712