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Mathematics 22 Online
OpenStudy (howard-wolowitz):

Data questions! Help needed and explanation

OpenStudy (howard-wolowitz):

For the firs one this is what i did: 1. If five were added to each value it would increase the number by five more then it originally was, it could affect the count it adds up to or anything at all. 2. If the numbers 3, 4, 6, 7, 9, 9, 11 were all added up and divided by 7 you would get 7 49/7=7. Now add five each to the numbers to get 8, 9, 11, 12, 14, 14, 16. 8+9+11+12+14+14+16=84 Now divide by 7. 84/7=12 I mean in the original set would be 7. The new set is 12, 12-7=5. The mean increased by 5.

OpenStudy (howard-wolowitz):

Thank-you for coming!

hartnn (hartnn):

Since they explicitly mentioned, there is no need to do any calculation, we can argue that, std deviation is just the measure of variation of data around mean, so if all numbers shifted by 5 units, they still would deviate from mean by the same amount

OpenStudy (howard-wolowitz):

so we would write that the untis shifted by 5

hartnn (hartnn):

untis? std deviation won't get shifted at all, and mean would shift by 5

OpenStudy (howard-wolowitz):

Ok, so you saying that when the five was added it would change just the mean by 5.. or am I incorrect?

hartnn (hartnn):

yes, and you proved the same using calculations

hartnn (hartnn):

i mean you're correct

OpenStudy (howard-wolowitz):

Would that be an appropriate answer you think.. without typing the calculations in at all. Just saying that the mean was shifted by

hartnn (hartnn):

they have specifically told to not put in calculations, so for mean, we can write, mean is basically the central value of the given set, if the entire set shifted by 5 units, the central value of that set will also shift by 5 units

OpenStudy (howard-wolowitz):

Then why is this question asking not about the mean but Standard deviation? Its confusing right?

hartnn (hartnn):

i see 2 questions 1st one asks for std deviation the 2nd one asks for mean

OpenStudy (howard-wolowitz):

Ok, nvm im a idiot!

hartnn (hartnn):

that deserves a medal :P

OpenStudy (howard-wolowitz):

lol

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