To determine the highest value in the data set, we can use the formula for the range:

$\text{Range} = \text{Highest value} - \text{Lowest value}$

Given that the range is 40 and the lowest value is 6, we can substitute these values into the formula:

$40 = \text{Highest value} - 6$

Now, solve for the highest value:

$\text{Highest value} = 40 + 6 = 46$

So, the highest value in the data set is 46.

Would you like any further details on this, or do you have other questions? Here's some related questions for you:

1. How do you calculate the mean of a data set?
2. What is the difference between range and interquartile range?
3. How do you find the median of a data set?
4. What is the significance of outliers in data analysis?
5. How do you calculate the standard deviation of a data set?

Tip: When working with ranges, remember that it gives only the difference between the highest and lowest values, so it doesn’t reflect any other details of the distribution, like how the other values are spread.