Range of Data


 
 
Concept Explanation
 

Range of Data

Range of  Data:

The range tells us how widely the numbers are spread. In other words, range is the difference of the highest and the lowest observation. To calculate the range of the data we will find the maximum and the minimum value in the data, and the difference between the two is the range for the data.

Illustration 1: The weights (in kg) of 10 students of a class are

                  43.5, 49.5, 52, 43, 47,44.5, 38.5, 40, 47, 38

      Calculate the range of the weights of the students.

Solution:  Arranging the data in ascending order,

              i.e., 38, 38.5, 40, 43, 43.5, 44.5, 47, 47, 49.5, 52

              The greatest weight is 52 kg

              And the lowest weight is 38 kg.

              Therefore, the range of ( 52 - 38 ) kg = 14 kg

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Which of the following statement is 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. It is the average number of observations.

Right Option : A
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Explanation
Question : 2

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
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Explanation
Question : 3

Find the Range of : 71, 72, 70, 75, 73, 74, 75, 70, 74, 72

Right Option : C
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Explanation
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