Range of Data
Range of Data
Range of Data:
The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Illustration 1: Find the range of the given data: {8, 11, 5, 9, 7, 6, 36,16}
Solution: Firstly arrange the data in ascending order as: 5, 6, 7, 8, 9, 16 and 36. Highest value = 36 and lowest value = 5. Range = Highest - Lowest = 36 - 5 = 31.
Illustration 2: Ms. Lumar listed 9 integers on the blackboard. What is the range of these integers?
14, -12, 7, 0, -5, -8, 17, -11, 19
Solution: Ordering the data from least to greatest, we get: -12, -11, -8, -5, 0, 7, 14, 17, 19
Highest - Lowest = 19 - -12 = 19 + +12 = +31. The range of these integers is +31.
Which of the following statement is not true regarding range of data: 1. It tells us how widely the numbers are spread. 2. It is the difference of the highest and the lowest observation. 3. To calculate it we find the maximum and the minimum value in the data, and then the difference between the two is calculated. | |||
| Right Option : D | |||
| View Explanation | |||
The difference between the maximum and minimum observation in the data is _________________ | |||
| Right Option : C | |||
| View Explanation | |||
The range of the data: 6,14, 20, 16, 6, 5, 4,18, 25,15, and 5 is | |||
| Right Option : B | |||
| View Explanation | |||
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