Question

The range of the data:-
25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 is
a. 10
b. 15
c. 18
d. 26

Answer 1

Hint: First arrange the data in ascending or descending order, then find the maximum and minimum value.

Complete step by step solution: Range of a given data is the difference between the maximum and minimum value of the given data.
For the convenience of the solution let us first arrange the given data either in increasing or decreasing order
Here we have arranged the data in increasing order;
6, 8, 10, 11, 12, 15, 16, 17, 18, 19, 20, 20, 22, 25, 30, 32.
It is clear that the maximum value of given data say (M) = 32
And the minimum value of the given data say (m) =6
Range for the data = Maximum value (M) − Minimum value(m).
∴ Range = 32 − 6 =26

Note: The range of a group of data is the difference between the Maximum and Minimum value in the group. To find the range, first, arrange the data either in ascending or in descending order to get the clarity about Maximum term and Minimum term of the data. Then subtract the smallest value from the largest value in the set to get the range of the data.