Calculate raw scores from the following z scores the mean of...

Calculate raw scores from the following z-scores. The mean of the original dataset was 10, and the standard deviation was 3. 1. What is the raw score for a z-score of -2.89? 2. What is the raw score for a z-score of +0.74? 3. What is the raw score for a z-score of +1.18? 4. What is the raw score for a z-score of -0.94? 5. What is the raw score for a z-score of -1.26?

Transcript

00:01 Hey there, welcome to numerate.

00:03 For this question here, we are asked to convert our z scores into our raw scores.

00:09 So we have to calculate these scores that corresponds to the z score.

00:15 The mean is given to us and the standard deviation, so let's write them down first.

00:22 We're given a mean that equals around 10 and a standard deviation that equals around 3 .1.

00:32 So we have a mean of 10 and a standard deviation.

00:34 And standard deviation of 3 .1.

00:38 So let us do problem 1 first.

00:43 So our equation that we're gonna use here is x to find our score equals our z score multiplied by our standard deviation, which is 3 .1, plus the mean, which is 10.

01:04 So for example, for number one, we have a z score of negative 2 .89.

01:09 So we have x equals negative 2 .89 times the standard deviation of 3 .1 plus our mean of 10.

01:24 Let's see what we get for our x value here.

01:29 We have negative 2 .89 times our standard deviation of 3 .1 plus 10.

01:39 Negative 2 .89 times 3 .1 plus 10 equals around 1.

01:48 Let's see, 1 .04.

01:53 So i'll do three decimal places here.

01:57 So we have 1 .041.

02:01 All right.

02:01 So that was for number one.

02:06 And let's move on to number two.

02:09 So for number two, we're given a difference z score here.