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How do you standardize data formula?
Subtract the mean,, from the value you want to convert, X. Divide the result from Step 1 by the standard deviation,.
How do you standardize data?
Subtract mean and divide by standard deviation: Center the data and change the units to standard deviations. Subtract mean: Center the data. Divide by standard deviation: Standardize the scale for each variable that you specify, so that you can compare them on a similar scale.
How do you standardize?
Subtract the mean,, from the value you want to convert, X. Divide the result from Step 1 by the standard deviation,.
How do you standardize data by hand?
Subtract mean and divide by standard deviation: Center the data and change the units to standard deviations. Subtract mean: Center the data. Divide by standard deviation: Standardize the scale for each variable that you specify, so that you can compare them on a similar scale.
How do you standardize a sample mean?
We subtract off the mean of X, which is, and divide through by the standard deviation of X, which is n, to obtain a standardized version of the sample mean: X/n.
How do you standardize normal?
When you standardize a random variable, its mean becomes zero and its standard deviation becomes one. Therefore, if the Z score of x is zero, then the value of x is equal to the mean. If the Z score of x is one, then the value of x is one standard deviation above the mean.
What formula do we use to standardize a value?
Step 1: Identify the observation (X), the mean () and the standard deviation () in the question. Step 2: Plug the values from Step 1 into the formula: Standardized value = X / = 520 420 / 50.
How is standardized value calculated?
X: the observation (a specific value that you are calculating the z-score for). Mu(): the mean. Sigma(): the standard deviation.
in this video we're going to focus on solving logarithmic equations with different bases now the most important thing that you need to know for this video is the change of Base formula let's say if you have log base a of B this is equal to log B / log a but with a different base you can change it to any other base we're going to call it c c could be any number be 2 5 8 as long as it's the same the equation holds true so that's the change of Base formula so let's say for example if I wish to evaluate log base 9 of 27 I can write it as log 27 / log 9 now what base do I want to use do I want to use 2 4 8 3 7 out of all the numbers to pick what number should I use now what number goes into 9 and 27 the best number is three 9 and 27 are both divisible by 3 now what is log base 3 of 9 what is that equal to how many threes do you have to multiply to get to 9 3 * 3 is 9 you have to multiply 2 3 so log base 3 of 9 is 2 because 3^ 2 is 9 now how many 3es do you have to multiply to get to 27 3 * 3 * 3 is 27 so you have to multiply three 3es so log base 3 of 27 is three and so log base 9 of 27 you can reduce it to 3 over2 now let's say if we have log base three of x - 2 and let's say that's equal to log base 27 of 4x + 7 feel free to pause the video and work on this example solve for x now in order to find a value of x we need to make the bases the same we have a base three and a base 27 so let's use the change of Base formula on the left it's going to be log x - 2 / log three now we'll choose the base later but let's just write it out for now on the right side what we have is log 4x + 7 / log 27 now we need to choose a number in which the bases will be the same and we can reduce these two logs into a number so what number goes into three and 27 the answer is three so every base we're going to change it to base three so on top we still have log base 3 x - 2 and on the bottom log base 3 of 3 because of the same it's just going to be one 3 to the first power is three now on the right side it's going to remain log base 3 4x + 7 and now what is log base 3 of 27 we've covered that already we know 3 3 power is 27 so it's equal to three so what we now have is this expression log base 3 of x - 2 is equal to if you divide it by three is the same as multiplying it by 1/3 so we have 1/3 log base 3 4x + 7 a property of log logs allows us to move the constant in the front to the exponent position of the 4x + 7 term so now we're going to have log base 3 of x - 2 is equal to log base 3 4x + 7 raised to the 13 now because the bases are the same since they're equal to each other what's inside of the log expression the x - 2 must be equal to the stuff inside the other log expression that is the 4x + 7 with the 1/3 uh with it as well so we could set the two things inside the yellow rectangles equal to each other so if the bases are the same the stuff on the inside must be the same so x - 2 is equal to 4x + 7 raised to the 1/3 and somehow we got to solve for x so let's raise...
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