A set of data is in the ratio of 2:3:5:6. If the largest number in this data set is 42, what is the range of the set of data?
multiply all the numbers by 7 so that the largest is 42.
14:21:35:42
that should help.
To find the range of a set of data, we need to find the difference between the largest and smallest values in the set.
In this case, we know that the largest value in the data set is 42. However, we don't have the smallest value or any specific values in the set. We only have the ratios of the numbers.
To proceed, we can assume a common ratio to determine the values of the set. Let's choose a common ratio of 2, which means the smallest value in the set will be 2.
Using the given ratios of 2:3:5:6, we can calculate the remaining values. Multiplying each ratio by the common ratio of 2, we get:
2 × 2 = 4
3 × 2 = 6
5 × 2 = 10
6 × 2 = 12
Now we have the complete set of values in the ratio 2:3:5:6, assuming the smallest value is 2: {2, 3, 5, 6}.
The range of a set is the difference between the largest and smallest values. In this case, the largest value is 42, and the smallest value is 2.
Range = 42 - 2 = 40
Therefore, the range of the set of data is 40.