In statistics, normal distribution is an important phenomena applied to many real-life situations in the field of natural and social sciences. The feature of the normal distribution is that it is symmetrical in shape about its mean, which is well-known as a “bell curve.”
The peak in the bell curve represents the mean (average) of the population, but in simple terms it is the highest number of occurrences of values, which is the mode. The important thing we have to notice is that the curve is concentrated in the center and decreases on either side. This is significant in that the data has less tendency to produce extreme values, called “outliers,” as compared to the values fall under the peak in the middle. Most individuals in a population fall under this region of the bell curve and standard deviation lets scientists estimate the extent of the deviation from the mean. In a normally distributed curve, there is a relationship between the population mean (µ) and the standard deviation as follow;
- 34.13% of the area under the curve is contained between the mean and a score that is equal to µ + 1σ.
- 13.59% of the area is contained between a score equal to µ + 1σ and a score of µ + 2σ.
- 2.15% of the area is contained between scores of µ + 2σ and µ + 3σ.
- 0.13% of the area exists beyond µ + 3σ.
If you add up all these values above, this accounts for 50% of the area and another 50% accounts for the area that is in opposite side of the bell curve (since it’s symmetrical in shape). The term “outlier” is a phenomena that is numerically distant from the mean and it is believed to occur due to either of measurement error or experiment error.
However, the outliers are those who succeed in the real world and one may think that only a few selected individuals can succeed in their fields while rests fall under the “peak” of the bell curve. However, the Bible says nothing is impossible when we do all to the glory of God. Let’s look at some verses from the Bible.
1 Corinthians 10:31: Whether therefore ye eat, or drink, or whatsoever ye do, do all to the glory of God.
Mark 9:23: Jesus said unto him, If thou canst believe, all things are possible to him that believeth.
Philippians 4:13: I can do all things through Christ which strengtheneth me.
Philippians 2:13: For it is God which worketh in you both to will and to do of his good pleasure.
1 Corinthians 10:13: There hath no temptation taken you but such as is common to man: but God is faithful, who will not suffer you to be tempted above that ye are able; but will with the temptation also make a way to escape, that ye may be able to bear it.
Believe that you can succeed your life with the power of prayer! If you do everything in your life for the glory of God, He will show you the path and also make a way to escape if you may not be able to bear it.