3g - 10 = 2g
- 3g - 3g
-10 = -g
-1 -1
10 = g
1st Step - Find the mean (average):
245 + 300 + 325 + 465 + 100 = 1435
1435/5 = 287 ( mean)
2nd step find the sun of the sqaure the difference between the gievn data and the mean
287 - 245 = 42^2 = 1,764
300 - 387 = 13^2 = 169
325-287 = 38^2 = 1,444
465 - 287 = 178^2 = 31,684
287 - 100 = 187^2 = 34,969
1,764 +169 + 1,444 + 31,684 + 34,969 = 70,030
Now divide that by the number of samples minus 1 ( 5-1=4)
70,030 / 4 = 17,507.5
The variance = 17, 507.5
The answer is x=4
5+3(x-1)=5x-6
Do the parentheses
5+3x-3=5x-6
Combine like terms
3x+2=5x-6
Subtract 3x to both sides
2=2x-6
Add 6 to both sides
8=2x
Divide by 2 on both sides
4=x
36/6 = 6
so
x = 42/6 = 7
answer
x = 7 cm