One minus that is gonna be the proportion that scores more than him. One minus 0.9938 is equal to, now this is, so this is the proportion So, what I'm going toĭo is I'm going to take one minus this. That scores higher than Ludwig, but you'd be wrong. Now, you might be tempted to say, okay, that's the proportion And it's now scrolled off, but this first column we saw, this is the hundredths placeĪnd this zero hundredths. So, what I have here, so I have 2.5, so I am going to be in this row. So, what we want to do is find 2.5 right over here on the left, and it's actually gonna be 2.50. Here is this left column gives us our z score This in previous videos, but what's going on So, that'll give us that orange and then we'll subtract that from one. Proportion is less than 2.5 standard deviations above the mean. So now, we can look at a z table to figure out what So, the z score here, z score here is a positive 2.5. So, he is 2.5 standardĭeviations above the mean. But how many standard deviations is that? Well, each standard deviation is three, so what's 7.5 divided by three? This just means the previousĪnswer divided by three. We know what that's gonna be, that's 7.5. We would take 47.5 and we would subtract the mean. Under the curve is one, so if we can figure out this orange area and take one minus that, And then, we can take one minus that to figure out the They give us the proportion that is below a certain z score. Proportion is below that because that's what z tables give us. How many standard deviationsĪbove the mean is that? Then, we will look at a z table to figure out what So, the way we will tackle this is we will figure out Normal distribution curve that is above 47.5. Proportion of exam scores are higher than Ludwig's score? So, what we need to do is figure out what is the area under the
Standard deviation is three points, so this could be one standardĭeviation above the mean, that would be one standardĭeviation below the mean. The mean is 40 points, so that would be 40 Look something like that, trying to make that What proportion of exam scores are higher than Ludwig's score? Give your answer correct Ludwig got a score ofĤ7.5 points on the exam. With a mean of 40 points and a standard deviation of three points. A set of philosophy exam scores are normally distributed
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