Excel 2019: Create a Bell Curve in Excel
March 26, 2019 - by Bill Jelen
I have 2200 Excel videos on YouTube. I can never predict which ones will be popular. Many videos hover around 2,000 views. But for some reason, the Bell Curve video collected half a million views. I am not sure why people need to create bell curves, but here are the steps.
A bell curve is defined by an average and a standard deviation. In statistics, 68% of the population will fall within one standard deviation of the mean. 95% falls within two standard deviations of the mean. 99.73% will fall within three standard deviations of the mean.
Say that you want to plot a bell curve that goes from 100 to 200 with the peak at 150. Use 150 as the mean. Since most of the results will fall within 3 standard deviations of the mean, you would use a standard deviation of 50/3 or 16.667.
150in cell B1.
=50/3in cell B2.
- Type headings of Point, X, Y in cells A4:C4.
Fill the numbers 1 to 61 in A5:A65. This is enough points to create a smooth curve.
- Go to the midpoint of the data, point 31 in B35. Type a formula there of
=B1to have the mean there.
- The formula for B36 is
=B35+($B$2/10). Copy that formula from row 36 down to row 65.
The formula for B34 is
=B34-($B$2/10). Copy that formula up to row 5. Note that the notes in columns C:E of this figure do not get entered in your workbook - they are here to add meaning to the figure.
The magic function is called NORM.DIST which stands for Normal Distribution. When statisticians talk about a bell curve, they are talking about a normal distribution. To continue the current example, you want a bell curve from 100 to 200. The numbers 100 to 200 go along the X-axis (the horizontal axis) of the chart. For each point, you need to calculate the height of the curve along the y-axis. NORM.DIST will do this for you. There are four required arguments:
=NORM.DIST(This x point, Mean, Standard Deviation, False). The last False says that you want a bell curve and not a S-curve. (The S-Curve shows accumulated probability instead of point probability.)
=NORM.DIST(B5,$B$1,$B$2,False)in C5 and copy down to row 65.
Select B4:C65. On the Insert tab, open the XY-Scatter drop-down menu and choose the thumbnail with a smooth line. Alternatively, choose Recommened Charts and the first option for a bell curve.
The result: a bell curve, as shown here.
Title Photo: Chris Barbalis at Unsplash.com