How can you normalize two data sets to the same scale?
$begingroup$
I have two data sets, one that ranges from 0-200, and another that ranges from ~400-~2500.
I would like to compare the two according to a score from 0-10. I remember about normalizing from a statistics class that I took that in order to normalize you need to find the z-score which depends on the population mean and standard deviation (which I have). But I don't remember what to do with that z-score, or how to normalize both of these data sets down to a 0-10 scale so that they can be scaled down and compared against each other.
Anyone remember how to do this?
statistics normal-distribution
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
$endgroup$
add a comment |
$begingroup$
I have two data sets, one that ranges from 0-200, and another that ranges from ~400-~2500.
I would like to compare the two according to a score from 0-10. I remember about normalizing from a statistics class that I took that in order to normalize you need to find the z-score which depends on the population mean and standard deviation (which I have). But I don't remember what to do with that z-score, or how to normalize both of these data sets down to a 0-10 scale so that they can be scaled down and compared against each other.
Anyone remember how to do this?
statistics normal-distribution
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
$endgroup$
$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00
add a comment |
$begingroup$
I have two data sets, one that ranges from 0-200, and another that ranges from ~400-~2500.
I would like to compare the two according to a score from 0-10. I remember about normalizing from a statistics class that I took that in order to normalize you need to find the z-score which depends on the population mean and standard deviation (which I have). But I don't remember what to do with that z-score, or how to normalize both of these data sets down to a 0-10 scale so that they can be scaled down and compared against each other.
Anyone remember how to do this?
statistics normal-distribution
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
$endgroup$
I have two data sets, one that ranges from 0-200, and another that ranges from ~400-~2500.
I would like to compare the two according to a score from 0-10. I remember about normalizing from a statistics class that I took that in order to normalize you need to find the z-score which depends on the population mean and standard deviation (which I have). But I don't remember what to do with that z-score, or how to normalize both of these data sets down to a 0-10 scale so that they can be scaled down and compared against each other.
Anyone remember how to do this?
statistics normal-distribution
statistics normal-distribution
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
asked Jan 15 '15 at 18:54
johncorserjohncorser
11413
11413
$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00
add a comment |
$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00
$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00
add a comment |
1 Answer
1
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$begingroup$
The z-score is the standardisation that you should plot. Full-stop. (And you have the correct formula for the z-score.) The z-score might usually range from -3 to +3 and you can then plot both z-score distributions on the same graph. The z-score distributions plot with their centres at z=0. You mention you want to plot on a 0-10 scale. What do you mean by this ?
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The z-score is the standardisation that you should plot. Full-stop. (And you have the correct formula for the z-score.) The z-score might usually range from -3 to +3 and you can then plot both z-score distributions on the same graph. The z-score distributions plot with their centres at z=0. You mention you want to plot on a 0-10 scale. What do you mean by this ?
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
$endgroup$
add a comment |
$begingroup$
The z-score is the standardisation that you should plot. Full-stop. (And you have the correct formula for the z-score.) The z-score might usually range from -3 to +3 and you can then plot both z-score distributions on the same graph. The z-score distributions plot with their centres at z=0. You mention you want to plot on a 0-10 scale. What do you mean by this ?
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
$endgroup$
add a comment |
$begingroup$
The z-score is the standardisation that you should plot. Full-stop. (And you have the correct formula for the z-score.) The z-score might usually range from -3 to +3 and you can then plot both z-score distributions on the same graph. The z-score distributions plot with their centres at z=0. You mention you want to plot on a 0-10 scale. What do you mean by this ?
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
$endgroup$
The z-score is the standardisation that you should plot. Full-stop. (And you have the correct formula for the z-score.) The z-score might usually range from -3 to +3 and you can then plot both z-score distributions on the same graph. The z-score distributions plot with their centres at z=0. You mention you want to plot on a 0-10 scale. What do you mean by this ?
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
answered Jan 16 '15 at 7:17
JerryFrogJerryFrog
252
252
add a comment |
add a comment |
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$begingroup$
If you have z-scores do you mean that you have both in standard normal form? You could then simply design some scale from 0-10 that depends on z scores
$endgroup$
– 123
Jan 15 '15 at 18:58
$begingroup$
I'd like to get both distributions in standard normal form. But by z score, I took (random variable - mean)/stddev from the original data set. I'd like to know how to scale it down to standard normal form.
$endgroup$
– johncorser
Jan 15 '15 at 19:00