a normal distribution has a mean of 36 and a standard deviation of 5. find the range of values that represent the middle 68% of the distribution
We know that in a normal distribution, approximately 68% of the data falls within 1 standard deviation (plus or minus) of the mean. Therefore, to find the range of values that represent the middle 68% of the distribution, we can use the following formula:
Range = (Mean - 1 standard deviation, Mean + 1 standard deviation)
Substituting the given values, we get:
Range = (36 - 5, 36 + 5)
Range = (31, 41)
Therefore, the range of values that represent the middle 68% of the distribution is from 31 to 41.