We are asked to find the mean of a set of data. Let's remember that the mean is the sum of all the terms in a set of data divided by the number of terms. The given set of data is:
![1,2,2,2,3,4,4,5,6,7,7,8,9,9,10](https://img.qammunity.org/2023/formulas/mathematics/college/dz7khtyw1751camb0ktzy8kbx2oas9g7ji.png)
We sum all the terms and divide them by 15, like this:
![M=(1+2+2+2+3+4+4+5+6+7+7+8+9+9+10)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/iz2t7zyz9s8s3l9dvfohsrgyoraqkwr5fs.png)
Solving the sum:
![M=(79)/(15)](https://img.qammunity.org/2023/formulas/mathematics/college/5r6m970aftb71veg5lwrgt1axlge8j1sc3.png)
The mean is then:
![M=5.3](https://img.qammunity.org/2023/formulas/mathematics/college/bwmo7xm3fiwjxht1jdjxon2d8steoklr3c.png)