Question
'Range' is defined as :
The correct answer is
Difference between the largest value and smallest value in the distribution
Range Definition Explained
The 'Range' is a fundamental concept in statistics used to measure the dispersion or spread of a dataset. It provides a simple way to understand the extent of variability within the data.
Understanding Statistical Range
In statistics, the Range is defined as the difference between the maximum (largest) value and the minimum (smallest) value present in a data distribution.
Mathematically, it is calculated as:
$ \text{Range} = \text{Largest Value} - \text{Smallest Value} $
Analysis of Options
- Option 1: Aggregate of all the values in the distribution - This describes the sum or total of the values, not the range.
- Option 2: Middle values of the distribution - This refers to concepts like the median, which represents the central point, not the total spread.
- Option 3: Difference between the largest value and smallest value in the distribution - This correctly defines the Range. It measures the complete spread from the lowest to the highest point in the data.
- Option 4: Value which has maximum frequency in the given distribution - This defines the Mode, another measure of central tendency, not the range.
Conclusion
Based on the standard statistical definition, the Range is the difference between the maximum and minimum values in a dataset.
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Important Questions from Measures of Dispersion
If for a moderately symmetrical distribution mean deviation is 12, then the value of standard deviation is
Variance is independent of change of :
- Mean (M) and Standard Deviation (S) of different datasets are given in A-D below. Compute the coefficient of variation of each dataset and arrange in ascending order.
A. M = 60, S = 14
B. M = 70, S = 16
C. M = 80, S = 5
D. M = 90, S = 4
Choose the correct answer from the options given below: - Which of the following are methods of dispersion ?
A. Median
B. Mean
C. Mean deviation
D. Standard deviation
E. Range
Choose the correct answer from the options given below : - Mean (M) and coefficient of variation (CV expressed as a percentage) of different datasets are given in A-D below. Compute the standard deviation of each dataset and arrange in ascending order.
A. M = 60, CV = 70/3
B. M = 80, CV = 6.25
C. M = 70, CV = 160/7
D. M = 90, CV = 40/9
Choose the correct answer from the options given below:
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