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weqwewe [10]
2 years ago
15

Each score in a set of data is multiplied by 3, and then 4 is subtracted from the result. If the original mean is 10 and the ori

ginal standard deviation is 5, what are the new mean and new standard deviation
Mathematics
1 answer:
olganol [36]2 years ago
5 0

The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

Mean: 10*3 = 30

Standard deviation: 5*3 = 15

Secondly "change of origin" when every score in a data set by a constant, its mean get  added or subtracted by the same constant and standard deviation remains constant.

Applying change of origin in the above mean and standard deviation  

Mean: 30 - 4 = 26

Standard deviation: Remains same = 15

Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

Learn more about Mean and standard deviation here

brainly.com/question/26841432

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4 0
3 years ago
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the tempera
Neporo4naja [7]
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Here's the easiest way to solve. Grab a calculator, or a piece of paper. (its simple math) SOOOO, The start is 19.4. Then, it rises 3.8. So add that to 19.4. That gives you 23.2, BuT, it falls again, back down 2.5 degrees. so take 23.2, and subtract 2.5 from it. That should give you 20.7 degrees.
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2 years ago
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andriy [413]
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3 years ago
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4 0
3 years ago
Rezolvati 1) -2x+1= -7 2) 6+3x= -54+x 3) 2x+9= 7 +x 4) 3-2x= -x -6 5) -3(x+1) = -6 6) -4 (x -2)=12 7) -7(x-3)= -14
Natalija [7]
<span>Răspunsurile sunt

1. x= 4
2. x = -30
3. x = -2
4. x = 9
5. x = 1
6. x = -1
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</span>
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3 years ago
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