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If the data are skewed, which option of central tendency measure is the most unreliable indicator?

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. Mean
  2. Median
  3. Range
  4. Mode

Answer (Detailed Solution Below)

Option 1 : Mean
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Detailed Solution

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Explanation

The mean is the most popular and well-known measure of central tendency. It can be used with both discrete and continuous data. Although its use is most often 

with continuous data. The mean is equal to the sum of all the values in the data set divided b the number of values in the data set

Mean = ∑xi/N

N = number of observation

X = observation

Median = Median locates a central part which divides a distribution into two equal halves

Median = (N + 1/2) th item, N = number of observation

Mode = Mode refers that value in a distribution which occur most frequently 

Mode = Mo = L + [(F1 - FO)/(2F1 - FO -  F2)] \TIMES C

C = Size of the interval

F1 = Frequency of the modal class

F2 = Frequency of the class succeeding the modal class

F0 = Frequency of the class preceding the modal class

L = Lower limit of the modal class

Confusion Points

  •  Range is a measure of dispersion.
  • Central tendency has three measures - Mean, Median and Mode. 
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