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Q: What is the mean absolute deviation of 65 90 85 70 70 95 55?
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If Tom gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8 where does he stand in relation to his classmates?

If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates


A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem. What is the probability that any value in the population is between 55 and 65?

Convert to Std Normal Distribution and calculate (or use java script) area under curve for probability (see related links). Z55= (55-55)/6 = 0 and Z65 = (65-55)/6 = 1.667. We need area under curve for Z from 0 to 1.667. From javascript = use between 0 & 1.667, obtain .4522 or 45.22% probability. From Table; 0.9525-0.5 = .4525 = 45.25% (use above; more accurate but this IS close).


Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches what percentage of women are between 62.5 inches and 67.5 inches?

3


Which is the stronger correlation?

The stronger correlation will be the one whose absolute value is closest to one. For example, r = -.78 is stronger than r=.65, because: |r| = |-.78| = .78 > |r| = |.65| = .65


What is the mean mode median of 64 64 64 65 65 65 65 67 67 68 68 70 70 72 73 76 79 80?

64 64 64 65 65 65 65 67 67 68 68 70 70 72 73 76 79 80. NB Place the numbers in RANK order. In this case it is already done #1 MODE ; is the term that occurs most frequently. In this case it is '65' , as there are four lots of '65' #2 MEDIAN ; is the term that occurs at the ABSOLUTE middle of the ranked order. Since there are eighteen terms, there is no absolute middle term. So we take the two middle terms that have the same number of terms to their side, that is terms nine & ten. They are 67 & 68. We then add these two together and halve the result. Hence (67 + 68) / 2 = 67.5. This is the median term. #3 MEAN ; is the sum of all the terms, which is the divided by the number of terms. Hence (64+64+64+65+65+65+65+67+67+68+68+70+70+72+73+76+79+80)/18 = 69' NB Another way of calculating the mean is ((3x64)+(4x65)+(2x67)+(2x68)+(2x70)+72+73+76+79+80)/18 = 69 NNB The word 'average' is casually used in the non-mathematical world, but the correct term is MEAN.