Answer:
The variance is 8.24
Step-by-step explanation:
we have
set of data [tex][6, 8, 1, 9,4][/tex]
step 1
Find the mean
Adds the values and divide by the number of values
[tex][6+8+1+9+4]/5=28/5=5.6[/tex]
step 2
for each number: subtract the Mean and square the result
[tex](6-5.6)^{2}=0.16\\ (8-5.6)^{2}= 5.76\\ (1-5.6)^{2}= 21.16\\ (9-5.6)^{2}= 11.56\\ (4-5.6)^{2}= 2.56[/tex]
step 3
work out the mean of those squared differences
[tex][0.16+5.76+21.16+11.56+2.56]/5=41.2/5=8.24[/tex] ----> this value is called the "Variance"
