Question
Download Solution PDFIf the data are skewed, which option of central tendency measure is the most unreliable indicator?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation
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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