Question 6:
Give one example of a situation in which
(i) The mean is an appropriate measure of central tendency.
(ii) The mean is not an appropriate measure of central tendency but the median is an
appropriate measure of central tendency.
Answer:
When any data has a few observations such that these are very far from the other
observations in it, it is better to calculate the median than the mean of the data as
median gives a better estimate of average in this case.
(i) Consider the following example − the following data represents the heights of the
members of a family.
154.9 cm, 162.8 cm, 170.6 cm, 158.8 cm, 163.3 cm, 166.8 cm, 160.2 cm
In this case, it can be observed that the observations in the given data are close to
each other. Therefore, mean will be calculated as an appropriate measure of central
tendency.
(ii) The following data represents the marks obtained by 12 students in a test.
48, 59, 46, 52, 54, 46, 97, 42, 49, 58, 60, 99
In this case, it can be observed that there are some observations which are very far
from other observations. Therefore, here, median will be calculated as an
appropriate measure of central tendency.
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