95.44% IQ scores are between 77 and 125
We're given,
Mean (a)=101
standard deviation (b)=12
To find : ![P[77 < x < 125]](https://tex.z-dn.net/?f=P%5B77%20%3C%20x%20%3C%20125%5D)
Using Empirical Rule:
∴ 
![P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B77-101%7D%7B12%7D%20%3C%20%5Cfrac%7Bx-a%7D%7Bb%7D%20%3C%20%5Cfrac%7B125-101%7D%7B12%7D%5D%5C%5C)
![=P[-2 < z < 2]\\](https://tex.z-dn.net/?f=%3DP%5B-2%20%3C%20z%20%3C%202%5D%5C%5C)
![=P[Z < 2]-P[Z < -2]\\](https://tex.z-dn.net/?f=%3DP%5BZ%20%3C%202%5D-P%5BZ%20%3C%20-2%5D%5C%5C)
=95.44% (approx)
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The Kind of file that would be the best to handle the basic calculation would be a spreadsheet.
<h3>What is a spreadsheet?</h3>
This is the term that is used to refer to the file that is made up of rows and columns. The rows and columns are made up of what is referred to as cells. Each cell contains data.
The spreadsheet is used to take care of calculations and helps majorly in statistics and accounting. Examples of spreadsheets are excel.
These sheets are able to carry out computations even up to statistical and engineering calculations. They help to make work faster and make interpretation of work easier.
The use of spreadsheets have kind of helped to make the use of lots of statistical formulas obsolete. This is because the operations are easier and faster when done on the sheets.
Read more on spreadsheets here:
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