More than 12.8 kilograms, if you assume a perfect
Having a one-year-old baby girl in the US that is So this right here it has toīe half of this, or 0.15%, and this, right here, Three standard deviations above the mean combined Than three standard deviations below the mean and more than Over for the two tails? Remember, there are two tails. The bulk of the resultsįall under there- I mean, almost all of them.
Empirical rule percentages plus#
We know this area, right here-īetween minus 3 and plus 3. So what is that probability? So let's turn back to In a different color to really contrast it. Probability of having a result more than three standardĭeviations above the mean. Three standard deviations above the mean. And then finally, PartĬ- the probability of having a one-year-old US baby Or a 95% chance of getting a result that is You have a 95% chance of getting bad results, Tells us- between two standard deviations, So they're essentiallyĪsking us what's the probability of gettingĪ result within two standard deviations of the mean. And 11.7- it's two standardĭeviations above the mean. That's two standardĭeviations below the mean. Kilograms- so between 7.3, that's right there. Probability of having a baby, at one-years-old, less Of having a result less than one standard deviationīelow the mean- that's this, right here, 16%. Getting a result more than one standard deviationĪbove the mean- so that's this right-hand So if you add up this legĪnd this leg- so this plus that leg is going Because you can't have- well,Īll the possibilities combined can only add up to 1. Because the area under theĮntire normal distribution is 100, or 100%, orġ, depending on how you want to think about it. That means in the parts that aren't in that middle Minus one standard deviation and plus one standardĭeviation is. Using the empirical rule? Well, we know what this area is. But most people useįigure out that area under this normal distribution Than 8.4 kilograms, that's this area right here. One-years-old with a mass or a weight of less
Probability of finding a baby or a female baby that's Than 8.4 kilograms? Or maybe I should say whose Probability that we would find a one-year-old And then three standardĭeviations below the mean, it would be right there, The mean, subtract 1.1 again, would be 7.3. Side- one standard deviation below the mean is 8.4. Three standard deviations, we'd add 1.1 again. If we go two standardĭeviations above the mean, we would add another One standard deviationĪbove the mean, we should add 1.1 to that. Let me draw my axisįirst, as best as I can. So they gave us the meanĪnd the standard deviation. Now, let's see if we canĪpply it to this problem. So above three standardĭeviations below the mean, and below three standardĭeviations above the mean. In a normal distribution that is within three standardĭeviations of the mean. That there is a 99.7% chance of finding a result If we go three standardĭeviations below the mean and above the mean, theĮmpirical rule, or the 68, 95, 99.7 rule tells us Something within those two or within that range? Then it's, youĬould guess it, 95%. Ourselves, what's the probability of finding So we go down anotherĪnother standard deviation above the mean. So if we go down another standard deviation. Going to get something within one standardĭeviation of the mean, either a standard deviationīelow or above or anywhere in between. Normal distribution that's between one standard deviationīelow the mean and one standard deviation above the One standard deviation- the probability ofįinding a result, if we're dealing with a perfect One standard deviation, this is our mean minus If we go one standardĭeviation above the mean, and one standardĭeviation below the mean- so this is our mean plus I didn't draw it perfectly,īut you get the idea. Review here before we jump into this problem. Have a normal distribution- I'll do a bit of a Use the empirical rule, sometimes called theĦ8, 95, 99.7 rule. "without a calculator estimate," that's a big clue
Girls in the US that meet the following condition. Kilograms, I'm assuming, and the standard deviationĬalculator- so that's an interesting clue. With a standard deviation of approximately 1.1 grams. This would be if we were talkingĪbout like mice or something. I have a 10-month-old son,Īnd he weighs about 20 pounds, which is about 9 kilograms. One-year-old girls in the US is normally distributed withĪ mean of about 9.5 grams.
Empirical rule percentages download#
Site, and I think you can download the book. The normal distribution section of 's APīecause it's open source.
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