Standard deviation is a/an _______.

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UGC NET Library & Information Science Paper 2 - 11 Jul 2022 Official Paper
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  1. Average amount of variation around the mode
  2. Value that occurs most frequently in a distribution
  3. Average amount of variation around the mean
  4. Normal deviation around the mean

Answer (Detailed Solution Below)

Option 3 : Average amount of variation around the mean
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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The correct answer is the Average amount of variation around the mean:

Key Points

  • Standard Deviation:
    • ​A standard deviation (or σ) is a measure of the variation of the data in relation to the mean.
    • A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.
    • Standard deviation is calculated by taking the square root of a value derived from comparing data points to a collective mean of a population.
    • The square of the standard deviation is called the variance.

Additional Information

  • Variance:
    • Variance is the measure of how notably a collection of data is spread out.
  • Mean:
    • Mean represents the average of the given collection of data. It is applicable for both continuous and discrete data.
  • Median:
    • It represents the mid-value of the given set of data when arranged in a particular order.
  • Mode:
    • The most frequent number occurring in the data set is known as the mode.
  • Quartile Deviation:
    • Quartile Deviation can be defined mathematically as half of the difference between the upper and lower quartile.

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