Question 962517: Find the number of data within 1 standard deviation of the mean: 52, 76, 69, 63, 69, 68, 65, 61.
Thanks!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Mean = 523/8 = 65.375
You get the mean by adding up all the numbers and then dividing by 8 (since there are 8 numbers).
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Standard Deviation = 7.0698
This is approximate. Doing the calculation by hand is tedious so use a calculator here.
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Lower Bound:
L = (mean) - (standard deviation) = 65.375 - 7.0698 = 58.3052
Upper Bound:
U = (mean) + (standard deviation) = 65.375 + 7.0698 = 72.4448
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So the data that is roughly within 1 standard deviation of the mean will range from 58.3052 to 72.4448
Those data values that are between 58.3052 and 72.4448 from the data set are: 69, 63, 69, 68, 65, 61
There are 6 data values. So that is the final answer.
If you need more one-on-one help, or if you have any questions, email me at jim_thompson5910@hotmail.com
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