Question

Find the range of the following data 18, 10, 8, 16, 9, 24, 12, 25, 13, 19.

Answer 1

Hint: We start solving the problem by writing all the given numbers in ascending order. We then recall the definition of range of data as the difference of minimum and maximum observations of that data set. We then find the minimum and maximum observations of the data set and take the difference of them to get the required result.

Complete step by step answer:
According to the problem, we need to find the range of the given data 18, 10, 8, 16, 9, 24, 12, 25, 13, 19.
Before finding the range, let us first write the numbers of data in the ascending order.
So, we get the numbers in ascending order as 8, 9, 10, 12, 13, 16, 18, 19, 24, 25.
We know that the range of the data containing discrete numbers is defined as the difference of minimum and maximum observations of that data set.
So, the minimum and maximum observation in the given data is 8 and 25.
So, we get Range = 25 – 8.
Range = 17.

∴ The range of the following data 18, 10, 8, 16, 9, 24, 12, 25, 13, 19 is 17.

Note: Here we have written the data in ascending order in order to get the maximum and minimum observations easily. It will be hectic to find the maximum and minimum observations from the given random data. We can also find the coefficient of range using the range, minimum and maximum observation. Similarly, we can expect problems to find the mean, median, coefficient of range for the given data.