Identify the measures of dispersion:
(A) Range
(B) Quartile deviation
(C) Sum of the deviations about mean
(D) Standard deviation
Choose the correct answer from the options given below:
- AOption (a)
(A), (B) and (C) Only
- BOption (b)
(B), (C) and (D) Only
- COption (c)
(A), (B) and (D) Only
- DOption (d)
(A), (C) and (D) Only
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Correct answer
(A), (B) and (D) Only
Why this answer is correct
The correct answer is - (A), (B) and (D) Only.
Key Points
- Range:
- The difference between the highest and lowest values in a distribution.
- It gives a rough idea of the spread but is sensitive to outliers.
- Quartile Deviation (or Interquartile Range):
- Measures the spread of the middle 50% of a distribution.
- It is the difference between the third quartile (Q3) and the first quartile (Q1).
- This measure is less sensitive to outliers compared to the range.
- Standard Deviation:
- Provides a measure of the average distance of each data point from the mean.
- It is the square root of the variance and gives a comprehensive idea of the spread of the data around the mean.
- It's widely used because it is in the same units as the original data and considers all data points.
Additional InformationVariance:
- The average of the squared differences from the Mean.
- It's a precursor to the standard deviation and provides a measure of the spread of data points.