3/5 to second power times 25
1 answer:
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First step: partition the number you want to square root into a block of 2 digits, starting from the last digit (first diagram)
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151
Answer:
1) (1,3,4.7)
2) 6.8
3) the square root of the variance
4) has the same units as the underlying data
5) It has predictive power.
Step-by-step explanation:
From question one, it is possible to use an excel formula to calculate the variance of the set of numbers.
Now, to calculate the variance in an Excel sheet:
Make sure your data is in a single range of cells in Excel.
If your data represents the entire population, enter the formula as "=VAR. P(A1:A4). Since, we were given four variables
The variance for your data will be displayed in the cell.
i.e for set of numbers (7, 8, 9, 10)
variance = (VAR. P(A1:A4))
= 1.25
for set of numbers (1, 3, 4, 7)
variance = (VAR. P(A1:A4))
= 4.69
for set of numbers (4,2,1, 0)
variance = (VAR. P(A1:A4))
= 2.19
for set of numbers (1, 0, 2, 4)
variance = (VAR. P(A1:A4))
= 2.19
The set of numbers (1,3,4.7) indicates the largest variance from the foregoing.
2) What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?
Using the same method explained in question 1, the population variance of the following set of numbers 3,5,8,9,10 can be calculated as:
For the set of numbers (3, 5, 8, 9, 10)
Variance = (VAR. P(A1:A5)) since it contains five sets.
= 6.8
3) Variance can be defined as the average of the squared differences from the Mean. Therefore, Standard deviation is the square root of the variance which is given as:
where;
s = sample standard deviation
N = the number of observations
= the observed values of a sample item.
x= the mean value of the observations
4) Standard deviation is useful because it has the same units as the underlying data
5) Of all the characteristics of Standard deviation when relating to finance, Standard deviation do not possess predictive power.