A bell curve (also known as normal distribution curve) is a way to plot and clarify data that looks like a bell curve.
In the bong curve, the highest signal is the one that has the highest probability of occurring, and the probability of occurrences goes down on either side of the curve.
It is oftentimes used during employee performance appraisals or during evaluation in exams (ever heard – "Y'all will be graded on the curve?").
Now before I spring in on how to create a bong curve in Excel, let's get a better agreement of the concept by taking an example.
Understanding the Bell Curve
Suppose you work in a team of 100 members and your manager tells yous that your performance will be relative to others and will be evaluated on the bong curve.
This means that fifty-fifty if your team is the all-time squad always and you're all superheroes, only a scattering of you would get the elevation rating, most of the people in your team would go an average rating, and a handful will go the lowest rating.
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Only why do nosotros need the bell curve?
Fair question!
Suppose y'all have a course of 100 students that appear for an test. According to your grading organisation, anyone who gets above lxxx out of 100 gets an A grade. But since you set a really easy newspaper, everyone scored higher up 80 and got the A form.
At present there is nothing wrong in this kind of grading system. However, using information technology, you tin non differentiate between someone who got 81 and someone who got 95 (every bit both would get the A grade).
To go along the comparison fair and proceed the competitive spirit live, a bell curve is often used to evaluate performances (at least that's how it was when I was in college).
Using the bell bend arroyo, the marks of students are converted into percentiles that are and so compared with each other.
Students getting higher marks are on the right side of the curve and students getting depression marks are on the left of the bend (with most of the students being in the middle around mean score).
Now to understand bell bend, you demand to know about 2 metrics:
- Mean – the average value of all the information points
- Standard Deviation – it shows how much the dataset deviates from the mean of the dataset. For example, suppose you have a group of 50 people, and you are recording their weight (in kgs). In this dataset, the average weight is 60 kg, and the standard deviation is 4 kg. It ways that 68% of the people'due south weight is within 1 standard departure from the mean – which would exist 56-64 kg. Similarly, 95% of the people are within 2 standard divergence – which would exist 52-68 Kgs.
When you take a dataset that is normally distributed, your bell curve will follow the below rules:
- The center of the bong bend is the mean of the data bespeak (also the highest point in the bell curve).
- 68.two% of the total data points lie in the range (Mean – Standard Deviation to Mean + Standard Deviation).
- 95.5% of the total data points lie in the range (Hateful – 2*Standard Departure to Mean + 2*Standard Deviation)
- 99.7% of the total data points prevarication in the range (Mean – three*Standard Deviation to Mean + three*Standard Divergence)
Image Source: MIT News
Now let's see how to create a bell curve in Excel.
Creating a Bong Curve in Excel
Allow's take an example of a class of students that have been scored in an exam.
The mean score of the grade is 65 and the standard departure is 10. (You can calculate the mean using the AVERAGE function in Excel and Standard Deviation using the STDEV.P office).
Here are the steps to create a bell curve for this dataset:
This will give y'all a bong curve in Excel.
Now you can alter the chart title and arrange the centrality if y'all need.
Note that when you have a low standard deviation, you lot get a packed slim bong curve, and when y'all accept a high standard deviation, the bell curve is wide and covers more expanse on the chart.
This kind of bell bend can be used to place where a information point lies in the chart. For example, in case a team is total of high performers, when evaluated on a curve, despite being a high performer, someone can go an average rating every bit he/she was in the middle of the curve.
Note: In this blog post, I accept discussed the concept of a bong curve and how to create it in Excel. A statistician would exist better suited to talk most the efficacy of the bell bend and limitations associated with it. I am more of an Excel guy and my involvement with Bell curve has been limited to the calculations I did when I worked as a Fiscal Analyst.
Promise you found this tutorial useful!
Let me know your thoughts in the comments section.
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