Answer:
The standard deviation of the following data set is 32.2
Step-by-step explanation:
step 1
Find the mean
we have
![[56,78,123,34,67,9,20]](https://tex.z-dn.net/?f=%5B56%2C78%2C123%2C34%2C67%2C9%2C20%5D)
Sum the data and divided by the number of elements
![[56+78+123+34+67+91+20]/7=469/7=67](https://tex.z-dn.net/?f=%5B56%2B78%2B123%2B34%2B67%2B91%2B20%5D%2F7%3D469%2F7%3D67)
step 2
For each number: subtract the Mean and square the result
![[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]](https://tex.z-dn.net/?f=%5B%2856-67%29%5E%7B2%7D%2C%2878-67%29%5E%7B2%7D%2C%28123-67%29%5E%7B2%7D%2C%2834-67%29%5E%7B2%7D%2C%2867-67%29%5E%7B2%7D%2C%2891-67%29%5E%7B2%7D%2C%2820-67%29%5E%7B2%7D%5D)
![[121,121,3,136,1,089,0,576,2,209]](https://tex.z-dn.net/?f=%5B121%2C121%2C3%2C136%2C1%2C089%2C0%2C576%2C2%2C209%5D)
step 3
Work out the mean of those squared differences
![[121+121+3,136+1,089+0+576+2,209]/7=1,036](https://tex.z-dn.net/?f=%5B121%2B121%2B3%2C136%2B1%2C089%2B0%2B576%2B2%2C209%5D%2F7%3D1%2C036)
This value is called the "Variance"
step 4
Take the square root of the variance
Answer:
3000
Step-by-step explanation:
a decrease in the ratio 5:3 implies that:
new quantity :old quantity :5:3
let new quantity be x.
x:1800=5:3
x/1800=5/3
3x=9000
x=9000/3
x=3000
Answer:
5300
Explination:
3 × (10 × 10) + 5 × (10 ×10 × 10) = 5300
oder of operation, this is the order you do an equation.
Brakets first ( )
Exponets 'power of'
Devision ÷
M multiplication ✖
A addition ➕
S subtraction ➖
Answer: 2/125
Step-by-step explanation: No esto 100% seguro pero hice esto:
2/5 % 4 = 2/125
The 3 angles of a triangle have to add up to 180 degrees. Since we are given 2 of the angles, all we have to do is add them up and then subtract from 180 to get the 3rd.
112 + 41 = 153
180 - 153 = 27
Angle 2 = 27 degrees.
