From a sample of 250 data scientists, determine the ratio of those proficient in Python to those proficient in R.

Category	Number of Data Scientists
Proficient in Python and R	50
Proficient in Python only	80
Proficient in R only	70
Proficient in neither language	50
Total Sample Size	250

The correct option is 13:12.

To find the ratio of data scientists proficient in Python to those proficient in R, let us first analyze the data given in the table:

• Number of data scientists proficient in both Python and R = 50
• Number of data scientists proficient in Python only = 80
• Number of data scientists proficient in R only = 70
• Number of data scientists proficient in neither language = 50
• Total Sample Size = 250

Step 1: Calculate the total number of data scientists proficient in Python

A data scientist is proficient in Python if they are proficient in "Python only" or in "both Python and R".

$\text{Total proficient in Python}=\text{(Proficient in Python only)}+\text{(Proficient in Python and R)}$

$\text{Total proficient in Python}=80+50=130$

Step 2: Calculate the total number of data scientists proficient in R

Similarly, a data scientist is proficient in R if they are proficient in "R only" or in "both Python and R".

$\text{Total proficient in R}=\text{(Proficient in R only)}+\text{(Proficient in Python and R)}$

$\text{Total proficient in R}=70+50=120$

Step 3: Determine the required ratio

We need to find the ratio of data scientists proficient in Python to those proficient in R:

$\text{Ratio}=\frac{\text{Total proficient in Python}}{\text{Total proficient in R}}$

$\text{Ratio}=\frac{130}{120}=\frac{13}{12}$

Thus, the ratio of data scientists proficient in Python to those proficient in R is 13:12.