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Zero.
-0.35
Approx 0.995
The area within the normal curve between -1 standard deviation (SD) and +1 SD is approximately 68%. This means that about 68% of the data falls within one standard deviation of the mean in a normal distribution.
1 to 1, which is greater than -1.2
0% of a normal (of any) distribution falls between z 1.16 and z 1.16. 1.16 - 1.16 = 0.
It is 0.017864
Pr(Z > 1.16) = 0.123
In a normal distribution half (50%) of the distribution falls below (to the left of) the mean.
Zero.
2
-0.35
Approx 0.995
1.16/z = -1.16/z * * * * * No! Pr(Z > 1.16) = 0.123 So Pr(-1.16 < Z < 1.16) = 1 - 2*0.123 = 1 - 0.246 = 0.754
The standard deviation provides in indication of what proportion of the entire distribution of the sample falls within a certain distance from the mean or average for that sample. If your data falls on a normal (or bell shaped) distribution, a SD of 1 indicates that about 68% of your data points (scores or whatever else) fall within 1 point (plus or minus) of the average (mean) of the data, and 95% fall within 2 points.
The area within the normal curve between -1 standard deviation (SD) and +1 SD is approximately 68%. This means that about 68% of the data falls within one standard deviation of the mean in a normal distribution.
The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%