## Normal Distribution

The “Bell Curve” is a Normal Distribution, and it looks like a bell.

### Standard Scores

The number of standard deviations from the mean is also known as the “Standard Score,” “sigma,” or “z-score.” You can see on the bell curve that 1.85m is 3 standard deviations from the mean of 1.4. The z-score formula is: z is the “z-score” (Standard Score). x is the value to be standardized. u03bc (‘mu’) is the mean. u03c3 (”

### Why Standardize … ?

Prof decides to standardize all of the scores and only fail people who are more than one standard deviation below the mean, which simplifies things because we only need one table (the Standard Normal Distribution Table), rather than doing calculations for each mean and standard deviation value individually.

### In More Detail

How many people scored lower than you if your score was 0.5 standard deviations above the average? In theory, 69.1% scored lower than you (but the percentage may differ with real data), but this may not be the case in practice.

### A Practical Example: Your company packages sugar in 1 kg bags.

You get the following results when you weigh a sample of bags: 1007g, 1032g, 1002g, 983g, 1004g,… (a hundred measurements). Standard Deviation = 20g. Some values are less than 1000g. Can you fix that?

### Adjust the accuracy of the machine

We could keep the mean (of 1010g) and standard deviation (2.5g) – but then we’d need 2.5 standard deviations to equal 10g – or we could have a combination of better accuracy and slightly larger average size, which I’ll leave up to you to decide!

### More Accurate Values …

When you need more precise values for Fibonucleic Acid (FCA) and Coombs’ Green Mean Equation, use the Standard Normal Distribution Table.

## How do you draw a normal distribution curve in Word?

Make a curve.

- Click Shapes on the Insert tab, then Lines, then Curve.
- Click where you want the curve to start, drag to draw, and then click wherever you want to add a curve.
- To end a shape, do one of the following: double-click at any time to leave it open, or click near its starting point to close it.

## How do I draw a normal distribution curve in Excel?

Using Excel to Make a Bell Curve

- In cell A1, enter 35.
- In the cell below it, enter 36 and create a series from 35 to 95 (where 95 is Mean 3* Standard Deviation).
- In the cell adjacent to 35, enter the formula: =NORM.DIST(A1,65,10,FALSE).

## How do you calculate bell curve?

Use the bell curve formula to calculate the y axis value for each x axis value. The bell curve formula is y = (e(?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?-x?

## What type of graph is a bell curve?

The most common frequency distribution is the normal distribution, also known as a Gaussian distribution or “bell curve.” It is symmetrical, with most values falling towards the center and long tails to the left and right, and it is a continuous distribution with no gaps between values.

## How do you standardize a normal distribution?

By converting the values of any normal distribution into z-scores, any normal distribution can be standardized.

- Your x-value is greater than the mean if your z-score is positive. If your z-score is negative, your x-value is less than the mean. If your z-score is zero, your x-value is equal to the mean.

## What are examples of normal distribution?

Let’s look at some examples of normal distribution in everyday life.

- Rolling A Dice. A fair roll of dice is also a good example of normal distribution.
- Tossing A Coin.
- IQ.
- Technical Stock Market.
- Income Distribution In Economy.
- Shoe Size.
- Birth Weight.

## How do you calculate the Z-score?

The z-score is calculated using the formula z = (x-)/, where x is the raw score, y is the population mean, and z is the population standard deviation.

## How do you shade a normal curve?

Always draw a normal curve to aid in the solution of the problem; shade desired areas under this curve, mark appropriate x values, mark corresponding z-scores, and label areas from the normal table when they are discovered. When there are multiple parts to the problem, more than one curve should be drawn.

## Can you make a bell curve in Excel?

Select the data points and normal distribution values, then use the Scattered with Smooth Lines version of the X-Y Scatter chart to create a bell curve in Excel.